Abe, T., Lu, X., Nouno, M., and Nanba, T., (1996), “Numerical Study on Yield Curves of FCC Metals Based on Rate-Dependent Crystal Slips,” JSME Int. J., A39, 237–245.Google Scholar

Abrisokov, A. A., Gorkov, L. P., and Dzyaloshinski, I. E., (1963), Methods of Quantum Field Theory in Statistical Physics, Prentice-Hall.Google Scholar

Abu Al-Rub, R. K. and Voyiadjis, G. Z., (2006), “A Physically Based Gradient Plasticity Theory,” Int. J. Plast., 22, 581–774.CrossRefGoogle Scholar

Ackerman, F., Kubin, L. P., Lepinoux, J., and Mughrabi, H., (1984), “The Dependence of Dislocation Microstructure on Plastic Strain Amplitude in Cyclically Strained Copper Single Crystals,” Acta Metall., 32, 715–725.CrossRefGoogle Scholar

Aifantis, E. C., (1984), “On the Microstructural Origin of Certain Inelastic Models,” Trans. ASME, J. Eng. Mater. Technol., 106, 326–330.CrossRefGoogle Scholar

Aifantis, E. C., (1987), “The Physics of Plastic Deformation,” Int. J. Plast., 3, 211–247.CrossRefGoogle Scholar

Akiyama, M., Kuboki, T., Oikawa, K., Matsui, K., and Terada, K., (2002), “Influence of Carbon Content and Carbide Morphology of Carbon Steels on the Stress–Strain Curve in the Vicinity of Yield Point,” Mater. Sci. Technol., 18, 1272–1278.CrossRefGoogle Scholar

Allen, S. M. and Thomas, E. L., (1999), The Structure of Materials, John Wiley & Sons.Google Scholar

Altan, B. S., (2006), Severe Plastic Deformation: Toward Bulk Productions of Nanostructured Materials, Nova Science Publishers.Google Scholar

Amari, S., (1962), “A Theory of Deformations and Stress of Ferromagnetic Substances by Finsler Geometry,” RAAG Memoirs, 3, 257–278.Google Scholar

Aono, Y., Kuramoto, E., and Kitajima, K., (1981), “Plastic Deformation of High Purity Iron Single Crystals,” Rep. Res. Inst. Mech., Kyshu Univ., 24, 127–193.Google Scholar

Aoyagi, Y. and Hasebe, T., (2007), “New Physical Interpretation of Incompatibility Tensor and Its Application to Dislocation Substructure Evolution,” Key Mater. Eng., 340–341, 217–222.CrossRefGoogle Scholar

Aoyagi, Y., Hasebe, T., Guan, P.-C., and Chen, J.-S., (2008), “Reproducing Kernel Based Evaluation of Incompatibility Tensor in Field Theory of Plasticity,” IMMIJ (Interaction and Multiscale Mechanics: An Int. J.), 1, 423–435.CrossRefGoogle Scholar

Argon, A. S., (1996), “Mechanical Properties of Single-Phase Crystalline Media: Deformation at Low Temperatures,” in Physical Metallurgy (eds. Cahn, R. W. and Haasen, P.), pp. 1877–1955, North-Holland.CrossRefGoogle Scholar

Argon, A. S., (2009), “A New Model of Dynamic Recovery for Stage III of Pure FCC Metals without Cross Slip,” Int. J. Mater. Res. (formerly Z. Metallkd.), 100, 488–493.CrossRefGoogle Scholar

Argon, A. S., (2012), Strengthening Mechanisms in Crystal Plasticity, Oxford University Press.Google Scholar

Argon, A. S., (2013), “Strain Avalanches in Plasticity,” Phil. Mag., 93, 3795–3808.CrossRefGoogle Scholar

Asaro, R. J., (1983a), “Crystal Plasticity,” J. Appl. Mech., 50, 921–934.CrossRefGoogle Scholar

Asaro, R. J., (1983b), “Micromechanics of Crystals and Polycrystals,” Adv. Appl. Mech., 23, 1–115.CrossRefGoogle Scholar

Asaro, R. J. and Ludarda, V. A., (2006), Mechanics of Solids and Materials, Cambridge University Press.CrossRefGoogle Scholar

Asaro, R. J., Hirth, J. P., Babnett, D. M., and Lothe, J., (1973), “A Further Synthesis of Sextic and Integral Theories for Dislocations and Line Forces in Anisotropic Media,” Phys. Stat. Sol., 60, 261–271.CrossRefGoogle Scholar

Ashby, B. F., (1970), “The Deformation of Plastically Non-Homogeneous Materials,” Philos. Mag. 21, 399–424.CrossRefGoogle Scholar

Bailey, J. E. and Hirsch, P. B., (1960), “The Dislocation Distribution, Flow Stress, and Stored Energy in Cold-Worked Polycrystalline Silver,” Philos. Mag. 5, 485–497.CrossRefGoogle Scholar

Bak, P., Tang, C., and Wiesenfeld, K., (1988), “Self-organized Criticality,” Phys. Rev. A, 38, 364–374.CrossRefGoogle ScholarPubMed

Balanethiram, V. S. and Daehn, G. S., (1993), “Hyperplasticity: Increased Forming Limits at High Workpiece Velocity,” Scripta Metall. et Mater., 30, 512–520.Google Scholar

Baran, P., (1964), “Introduction to Disturbed Communications Networks,” report RM-3420-PR (RAND Corp. Santa Monica, CA, August 1964), www.rand.org/pubs/research_memoranda/RM3420.html.Google Scholar

Barbe, F., Cecker, L., Jeulin, D., and Caillettaud, G., (2001a), “Intergranular and Intragranular Behavior of Polycrystalline Aggregates. Part 1: F. E. Model,” Int. J. Plast., 17, 513–536.CrossRefGoogle Scholar

Barbe, F., Forest, S., and Caillettaud, G., (2001b), “Intergranular and Intragranular Behavior of Polycrystalline Aggregates. Part 2: Results,” Int. J. Plast., 17, 537–563.CrossRefGoogle Scholar

Bardet, J. P., (1994), “Numerical Simulations of the Incremental Responses of Idealized Granular Materials,” Int. J. Plast., 10, 879–908.CrossRefGoogle Scholar

Barrett, C. R., Nix, W. D., and Tetelman, A. S., (1973), The Principles of Engineering Materials, Prentice-Hall.Google Scholar

Bassani, J. L. and Wu, T. Y., (1991), “Latent Hardening in Single Crystals-II. Analytical Characterization and Predictions,” Proc. R. Soc. London, A., 435, 21–41.Google Scholar

Bassani, J. L., Ito, K., and Vitek, V., (2001), “Complex Macroscopic Plastic Flow Arising from Non-Planar Dislocation Core Structures,” Mater. Sci. Eng. A, 319, 97–101.CrossRefGoogle Scholar

Bay, B., Hansen, N., and Kuhlmann-Wilsdorf, D., (1989), “Deformation Structures in Lightly Rolled Pure Aluminum,” Mater. Sci. Eng., 113A, 385–397.CrossRefGoogle Scholar

Behringer, R. P., (2008), www.phy.duke.edu/~bob/Google Scholar

Benssousan, A., Lions, J.-L., and Papanicoulau, G., (1978), Asymptotic Analysis for Periodic Structures, North Holland.Google Scholar

Berner, R. and Kronmuller, H. (1965), “Plastische Verformung von Einkristallen,” in Fehlstellen, Plastizität, Strahlenschädigung und Elektronentheorie (ed. Seeger, A.), pp. 35–125, Springer.CrossRefGoogle Scholar

Bhadeshia, H. K. D. H., (1997), “Models for the Elementary Mechanical Properties of Steel Welds,” in Mathematical Modeling of Weld Phenomena (ed. Cerjak, H.), pp. 229–284, Routledge.Google Scholar

Bhadeshia, H. K. D. H., (2001), Bainite in Steels, Cambridge University Press.Google Scholar

Bilby, B. A., Bullough, R., and Smith, E., (1955), “Continuum Distributions of Dislocations: A New Application of the Methods of Non-Riemannian Geometry,” Proc. R. Soc. London, A, 231, 263–273.Google Scholar

Bilby, B. A., Cottrell, A. H., and Swinden, R. H., (1963), “The Spread of Plastic Yield from a Notch,” Proc. Roy. Soc. London, A, 272, 304–311.Google Scholar

Blazynski, T. Z., (ed.), (1987), Materials at High Strain Rates, Elsevier Applied Science.Google Scholar

Buchanan, M., (2002), NEXUS –Small Worlds and the Groundbreaking Theory of Networks, W. W. Norton & Company.Google Scholar

Budiansky, B. and Wu, T. T., (1962), “Theoretical Prediction of Plastic Strains of Polycrystals,” Proc. 4th Congr. Appl. Mech., 2, 1175–1185.Google Scholar

Bulatov, V. V. and Cai, W., (2006), Computer Simulations of Dislocations, Oxford University Press.CrossRefGoogle Scholar

Bulatov, V. V., Hsiung, L. L., Tang, M., Arsenlis, A., Bartelt, M. C., Cai, W., Florando, J. N., Hiratani, M., Rhee, M., Pierce, T. G., and de la Rubia, T. D., (2006), “Dislocation Multi-junctions and Strain Hardening,” Nature, 440, 1174–1178.CrossRefGoogle ScholarPubMed

Burch, H. and Cheswick, B., (1998), “Internet Mapping Project,” www.visualcomplexity.com/vc/project_details.cfm?id=117&index=18&domain=InternetGoogle Scholar

Campbell, J. D. and Ferguson, W. C., (1970), “Temperature and Strain-Rate Dependence of Shear-Strength of Mild Steel,” Phil. Mag., 21, 63–82.CrossRefGoogle Scholar

Capriz, G., (1989), Continua with Microstructure, Springer Tracts in Natural Philosophy, 35, Springer-Verlag.CrossRefGoogle Scholar

Chaikin, P. M. and Lubensky, T. C., (1995), Principles of Condensed Matter Physics, Cambridge University Press.CrossRefGoogle Scholar

Chaikin, P. M. and Lubensky, T. C., (2000), Principles of Condensed Matter Physics, 2nd ed., Cambridge University Press.Google Scholar

Chapuis, A. and Driver, J. H., (2011), “Temperature Dependency of Slip and Twinning in Plane Strain Compressed Magnesium Single Crystals,” Acta Mater., 59, 1986–1994.CrossRefGoogle Scholar

Chen, J. S., Pan, C., Wu, C. T., and Liu, W. K. (1996), “Reproducing Kernel Particle Methods for Large Deformation Analysis of Nonlinear Structures”, Comput. Methods Appl. Mech. Eng., 139, 195–227.CrossRefGoogle Scholar

Chen, Z. Z., Kioussis, N., Ghoniem, N., and Hasebe, T., (2008), “Lubricant Effect of Copper Nanoclusters on the Dislocation core in α-Fe,” Phys. Rev. B, 77, 1–5.Google Scholar

Chow, T. S., (2000), Mesoscopic Physics of Complex Materials, Springer.CrossRefGoogle Scholar

Chun, B. K., Jinna, J. T., and Lee, J. K., (2002), “Modeling the Bauschinger Effect for Sheet Metals, Part I: Theory,” Int. J. Plast., 18, 571–595.CrossRefGoogle Scholar

Cleveland, R. M. and Ghosh, A. K., (2002), “Inelastic Effects on Springback in Metals,” Int. J. Plast., 18, 769–785.CrossRefGoogle Scholar

Crisrescu, N., (1967), Dynamic Plasticity, North-Holland.Google Scholar

Cuitinõ, A. M., Stainer, L., Wang, G., Strachan, A., Cağin, T., Goddard III, W. A., and Ortiz, M., (2001), “A Multiscale Approach for Modeling Crystalline Solids,” J. Computer-Aided Maters. Design, 8, 127–149.CrossRefGoogle Scholar

Daehn, G. S., Altynova, M., Balanethiram, V. S., Fenton, G., Padmanabhan, M., Tamhane, A., and Winnard, E., (1995), “High-Velocity Metal Forming: An Old Technology Addresses New Problems,” JOM (USA), 47, 42–45.Google Scholar

Daehn, G. S., Vohnout, J., and Datta, S., (2000), “Hyperplastic Forming: Process Potential and Factors Affecting Formability,” in Superplasticity and Superplastic Forming (eds. Berbon, P. B. Berbon, M. Z., Sakuma, T., and Langdon, T. G.), pp. 247–253, Cambridge University Press.Google Scholar

Dash, W. G., (1957), “The Observation of Dislocations in Silicon,” in Dislocations and Mechanical Properties of Crystals (eds. Fisher, J. C., Johnston, W. G., Thomson, R., and Vreeland, Jr., T.), pp. 57–68, Wiley.Google Scholar

de Wit, R., (1960), “The Continuum Theory of Stationary Dislocations,” Solid State Phys., 10, 249–292.CrossRefGoogle Scholar

Devincre, B. and Kubin, L. P., (1997), “Mesoscopic Simulations of Dislocations and Plastictiy,” Mater. Sci. Eng. A, 234–236, 8–14.CrossRefGoogle Scholar

Devincre, B. and Kubin, L. P., (1999), “From Dislocation Mechanisms to Dislocation Microstructures and Strain Hardening,” in Analysis and Relation to Properties (Proc. 20th Risø Int. Symp. Maters. Sci.), (eds. Bilde-Sorensen, J.B., Carstensen, J.V., Hansen, N., Juul Jensen, D., Leffers, T., Panteleon, W., Pedersen, O.B., and Winther, G.), pp. 61–83, Risø National Laboratory.Google Scholar

Dillamore, I. L., Morris, P. L., Smith, C. J. E., and Hutchinson, W. B., (1972), “Transition Bands and Recrystallization in Metals,” Proc. Roy. Soc. London, A, 329, 405–420.Google Scholar

Doyama, M. and Yamamoto, R., (eds.), (1988), Zairyo no Soshiki to Kinou (Structures and Functions of Materials), University of Tokyo Press (in Japanese).Google Scholar

Duesbery, M. S. and Vitek, V., (1998), “Plastic Anisotropy in B.C.C. Transition Metals (Overview No.128),” Acta Mater., 46, 1481–1492.CrossRefGoogle Scholar

Dutta, P. and Horn, P. M., (1981), “Low-Frequency Fluctuations in Solids: 1/f Noise,” Rev. Mod. Phys., 53, 497–516.CrossRefGoogle Scholar

Edagawa, K., Suzuki, T., and Takeuchi, S., (1997), “Motion of a Screw Dislocation in a Two-dimensional Peierls Potential,” Phys. Rev. B, 55, 6180–6187.CrossRefGoogle Scholar

Eifler, D. and Macherauch, E., (1990), “Microstructure and Cyclic Deformation Behaviour of Plain Carbon and Low-Alloyed Steels,” Int. J. Fatigue, 12, 165–174.CrossRefGoogle Scholar

El-Azab, A., (2000), “Statistical Mechanics Treatment of the Evolution of Dislocation Distributions in Single Crystals,” Phys. Rev. B, 61, 11956–11966.CrossRefGoogle Scholar

Eleiche, A. M. and Campbell, J. D., (1976), The Influence of Strain-Rate History and Temperature on the Shear Strength of Copper. Titanium and Mild Steel, Air Force Materials Laboratory, Wright-Patterson Air Force Base, Tech Report AFML-TR-76-90).Google Scholar

Embury, J. D., (1971), “The Role of Substructure,” in Strengthing Methods in Crystals (eds. Kelly, A. and Nicholson, R. B.), pp. 331–342, Elsevier.Google Scholar

Endo, T., (2001), “Measurements of Activation Parameters through the Analysis of Mechanical Differential Tests and Strain Rate Dependence of Flow Stress,” in The Final Report of Research Group on High-Speed Deformation of Steels for Automotive Use, 3.4.3, pp. 131–146, ISIJ.Google Scholar

Epstein, M., and Elzanowski, M., (2007), Material Inhomogeneities and their Evolution, Springer.Google Scholar

Eringen, A. C., (1966), “Linear Theory of Micropolar Elasticity,” J. Mat. Mech., 16, 909–923.Google Scholar

Eringen, A. C., (ed.), (1981), “Special Issue Dedicated to Prof. K. Kondo on the Occasion of His Seventieth Birthday,” Int. J. Eng. Sci., 19, 1455–1807.CrossRefGoogle Scholar

Escaig, B., (1968), “Cross Slipping Process in the F.C.C. Structure,” in Dislocation Dynamics (eds. Rosenfield, A. R., Hahn, G. T., Bement Jr., A. L., and Jaffee, R. I.), p. 655, McGraw-Hill.Google Scholar

Eshelby, J. D., (1951) “The Force on an Elastic Singularity,” Phil. Trans. Roy. Soc. London, A, 241, 87–112.Google Scholar

Eshelby, J. D., (1956), “Continuum Theory of Lattice Defects,” in Solid State Physics (eds. Seitz, F. and Turnbull, D.), pp. 79–144, Academic Press.Google Scholar

Eshelby, J. D., (1975), “The Elastic Energy-Momentum Tensor,” J. Elasticity, 5, 321–335.CrossRefGoogle Scholar

Faloutsos, M., Faloutsos, P., and Faloutsos, C., (1999), “On Power-Law Relationships of the Internet Topology,” Comput. Commun. Rev., 29, 251–262.CrossRefGoogle Scholar

Feltner, C. E. and Laird, C., (1967), “Cyclic Stress-Strain Response of F.C.C. Metals and Alloys – II Dislocation Structures and Mechanisms,” Acta Metall., 15, 1633–1653.CrossRefGoogle Scholar

Feynman, R. P., (1972), Statistical Mechanics: A Set of Lectures, Addison Wesley.Google Scholar

Fish, J., (2007), “Discrete-to-Continuum Scale Bridging,” in Multiscaling in Molecular and Continuum Mechanics: Interaction of Time and Size from Macro to Nano (ed. Sih, C. C.), pp. 85–102, Springer.Google Scholar

Fisher, D. J. (ed.), (2000), “Dislocation Theory – A Five Year Perspective,” Defect Diffu. Forum, 179–180, Scitec PublicationsGoogle Scholar

Fleck, N. A. and Hutchinson, J. W., (1997), “Strain Gradient Plasticity”, Adv. Appl. Mech., 33, 295–361.CrossRefGoogle Scholar

Follansbee, P. S., (1985), “High Strain Rate Deformation in FCC Metals and Alloys,” Los Alamos National Lab.(LANL), LA-UR-85-3026; CONF-850770-8.Google Scholar

Follansbee, P. S., (1986), “High-Strain-Rate Deformation of FCC Metals and Alloys,” in Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena (eds. Murr, L. E., Staudhammer, K. P., and Meyers, M. A.), pp. 451–479, Vol. 52, Mechanical Engineering, (eds. Faulkner, L. L. and Menkes, S.B.), Marcel Dekker.Google Scholar

Follansbee, P. S. and Kocks, U. F., (1988), “A Constitutive Description of the Deformation of Copper Based on the Use of the Mechanical Threshold Stress as an Internal State Variable,” Acta Metall., 36, 81–93.CrossRefGoogle Scholar

Follansbee, P. S., Regazzoni, G., and Kocks, U. F., (1984), “The Transition to Drag-controlled Deformation in Copper at High Strain Rates,” Mechanical Properties at High Rates of Strain, Conf. Series 70, Inst. Phys., 71.Google Scholar

Fourie, J. T., (1968) “The Flow Stress Gradient between the Surface and Centre of Deformed Copper Single Crystals,” Phil. Mag., 17, 735–756.CrossRefGoogle Scholar

Francois, P., Pineau, A., and Zaoui, A., (1993a), “Mechanical Behaviour of Materials, Volume I: Elasticity and Plasticity,” Kluwer Academic Publishers.Google Scholar

Francois, P., Pineau, A., and Zaoui, A., (1993b), “Mechanical Behaviour of Materials, Volume II: Viscoplasticity, Damage, Fracture and Contact Mechanics,” Kluwer Academic Publishers.Google Scholar

Francoisi, P., (1983), “Glide Mechanisms in B.C.C. crystals: An Investigation of the Case of α-iron Through Multislip and Latent Hardening Tests,” Acta Metall., 31, 1331–1342.CrossRefGoogle Scholar

Francoisi, P., (1985), “The Concepts of Latent Hardening and Strain Hardening in Metallic Single Crystals,” Acta Metall., 33, 1601–1612.CrossRefGoogle Scholar

Francoisi, P. and Zaoui, A., (1982), “Multislip in F.C.C. Crystals: A Theoretical Approach Compared with Experimental Data,” Acta Metall., 30, 1627–1637.CrossRefGoogle Scholar

Francoisi, P., Berveiller, M., and Zaoui, A., (1980), “Latent Hardening in Copper and Aluminium Single Crystals,” Acta Metall., 28, 273–283.CrossRefGoogle Scholar

Frank, F. C. and ReadJr., W. C., (1950), “Multiplication Processes for Slow Moving Dislocations,” Phys. Rev., 79, 722–724.CrossRefGoogle Scholar

Frederiksen, S. L. and Jacobsen, K. W., (2003), “Density Functional Theory Studies of Screw Dislocation Core Structures in BCC Metals,” Phil. Mag., 83, 365–375.CrossRefGoogle Scholar

Frisch, U. (1995), Turbulence, Cambridge University Press.CrossRefGoogle Scholar

Frisch, U., Sulem, P.-L., and Nelkin, M., (1978), “A Simple Dynamical Model of Intermittent Fully Developed Turbulence,” J. Fluid Mech., 87, 719–736.CrossRefGoogle Scholar

Frost, H. J. and Ashby, M. F., (1975), “Deformation-Mechanism Maps for Steady State Flow,” in Rate Processes in Plastic Deformation of Materials, (eds. Li, J. C. and Mukherjee, A. K.), p. 70, American Society for Metals (ASM).Google Scholar

Fujita, H., (1967), “Continuous Observation of Dynamic Behaviors of Dislocations in Aluminum,” J. Phys. Soc, Japan, 23, 1349–1361.CrossRefGoogle Scholar

Fujita, H. and Miyazaki, S., (1978), “Lüders Deformation in Polycrystalline Iron,” Acta Metal., 26, 1273–1281.CrossRefGoogle Scholar

Fujita, H. and Tabata, T., (1973), “The Effect of Grain Size and Deformation Sub-Structure on Mechanical Properties of Polycrystalline Aluminum,” Acta Metall., 21, 355–365.CrossRefGoogle Scholar

Fujita, H., Toyoda, K., Mori, T., Tabata, T., Ono, T. and Takeda, T., (1983), “Dislocation Behavior in the Vicinity of Grain Boundaries in FCC Metals and Alloys,” Trans. JIM, 24, 195–204.CrossRefGoogle Scholar

Funatsu, T., Harada, Y., Tokunaga, M., Saito, K. and Yanagida, T., (1995), “Imaging of Single Fluorescent Molecules and Individual ATP Turnovers by Single Myosin Molecules in Aqueous Solution,” Nature, 376, 555–559.CrossRefGoogle Scholar

Gambin, W., (2001), Plasticity and Textures, Kluwer Academic Publishers.CrossRefGoogle Scholar

Geeves, M. A., (2002), “Molecular Motors: Stretching the Lever-arm Theory,” Nature, 415, 129–131.CrossRefGoogle ScholarPubMed

Geng, J., Howell, D., Longhi, E., Behringer, R. P., Reydellet, G., Vanel, L., Clément, E., and Luding, S., (2001), “Footprints in Sand: The Response of a Granular Material to Local Perturbations,” Phys. Rev. Lett., 87, 035506.CrossRefGoogle ScholarPubMed

Ghoniem, N. M. and Sun, L. Z., (1999), “Fast-sum Method for the Elastic Field of Three-Dimensional Dislocation Ensembles”, Phys. Rev., B60, 128–140.CrossRefGoogle Scholar

Ghoniem, N. M. and Walgraef, D., (2008), “Instabilities and Self-Organization in Materials: Part I. Fundamentals,” ibid “Part II: Applications,” Oxford University Press.CrossRefGoogle Scholar

Ghoniem, N. M., Tong, S.-H., and Sun, L. Z., (1999), “Parametric Dislocation Dynamics: A Thermodynamics-Based Approach to Investigations of Mesoscopic Plastic Deformation”, Phys. Rev., B61, 913–927.Google Scholar

Gor’kov, L. P., (1959), “Microscopic Derivation of the Ginzburg-Landau Equations in the Theory of Superconductivity,” Sov. Phys. JETP, 9, 1364–1367.Google Scholar

Gracio, J. J., (1995), “The Effect of Grain Size on the Microstructural Evolution of Copper Deformed in Rolling,” Mater. Sci. Eng., A196, 97–104.CrossRefGoogle Scholar

Granovetter, M. S., (1973), “The Strength of Weak Ties,” Am. J. Sociol., 78, 1360–1380CrossRefGoogle Scholar

Gray III, T. G., (1992), “Influence of Shock-Wave Deformation on the Structure/Property Behavior of Materials,” in High Pressure Shock Compression of Solids Solids (Shock Wave and High Pressure Phenomena) (eds. Asay, J. R. and Shahinpoor, M.), p. 409, Springer-Verlag.Google Scholar

Griffith, A. A., (1921), “The Phenomenon of Rupture and Flow in Solids,” Phil. Trans. Roy. Soc. A., 221, 163–198.Google Scholar

Groma, I., (1997), “Link Between the Microscopic and Mesoscopic Length-Scale Description of the Collective Behavior of Dislocations,” Phys. Rev. B, 56, 5807–5813.CrossRefGoogle Scholar

Groma, I. and Bako, B., (2000), “Dislocation Patterning: From Micro- to Mesoscale Description,” Phys. Rev. Lett., 84, 1487–1490.CrossRefGoogle ScholarPubMed

Grosskreutz, J. C., (1963), “Development of Substructure in Polycrystalline Aluminum During Constant‐Strain Fatigue,” J. Appl. Phys., 34, 372–379.CrossRefGoogle Scholar

Grosskreutz, J. C. and Shaw, G. G., (1967), “Microstructures at the Tips of Growing Fatigue Cracks in Aluminum Alloys,” ASTM STP, 415, 226–243, https://doi.org/10.1520/STP47233S.Google Scholar

Grumbacher, S. K., McEwen, K. M., Halverson, D. A., Jacobs, D. T., and Lindner, J., (1992), “Self-organized Criticality: An Experiment with Sandpiles,” Am. J. Phys., 61, 329–335.CrossRefGoogle Scholar

Gumbsch, P. and Gao, H., (1999), “Dislocations Faster than the Speed of Sound,” Science, 283, 965–968.CrossRefGoogle ScholarPubMed

Gurtin, M. E. and Anand, L., (2005), “A Theory of Strain-Gradient Plasticity for Isotropic, Plastically Irrotational Materials. Part II: Finite Deformations,” Int. J. Plasticity, 21, 2297–2318.CrossRefGoogle Scholar

Haasen, P., (1978), Physical Metallurgy, Cambridge University Press.Google Scholar

Haasen, P., (1996), Physical Metallurgy, 3rd ed., Cambridge University Press.CrossRefGoogle Scholar

Hahn, E. N., Zhao, S., Bringa, E. M., and Meyers, M. A., (2016), “Supersonic Dislocation Bursts in Silicon,” Scientific Reports, 6-269777, https://doi.org/10.1038/srep26977.Google ScholarPubMed

Hähner, P., (1996), “A Theory of Dislocation Cell Formation Based on Stochastic Dislocation Dynamics,” Acta Mater., 44, 2345–2352.CrossRefGoogle Scholar

Hähner, P., Bay, K., and Zaiser, M., (1998), “Fractal Dislocation Patterning During Plastic Deformation,” Phys. Rev. Lett., 81, 2470–2473.CrossRefGoogle Scholar

Haken, H., (1977), Synergetics: An Introduction. Nonequilibrium Phase Transition and Self-Organization in Physics, Chemistry and Biology, Springer.Google Scholar

Hansen, N., (2001), “New Discoveries in Deformed Metals,” Metall. Maters. Trans. A, 32, 2917–2935.CrossRefGoogle Scholar

Hansen, N., (2004), “Deformation Microstructures with a Structural Scale from the Micrometre to Nanometre Dimension,” in Evolution of Deformation Microstructures in 3D (Proc. 25th Int. Symp. Maters. Sic.) (eds. Gundlach, C., Haldrup, K., Hansen, N., Haung, X., Jensen, D. J., Leffers, T., Li, Z. J., Nielsen, S. F., Pantleon, W., Wert, J. A., and Winther, G.), pp. 13–32, Risø National Lab.Google Scholar

Hansen, N. and Kuhlmann-Wilsdorf, D., (1986), “Low Energy Dislocation Structures Due to Unidirectional Deformation at Low Temperatures,” Mat. Sci. Eng., 81, 141–161.CrossRefGoogle Scholar

Hasebe, T., (2004a), “Continuum Description of Inhomogeneously Deforming Polycrystalline Aggregate Based on Field Theory,” in Meso-Scale Simulation and Modeling of Strength and Fracture of Materials, IUTAM Symp. Mesoscopic Dynamics of Fracture Process and Materials Strength (eds. Kitagawa, H. and Shibutani, Y.), pp. 381–390, Kluwer.Google Scholar

Hasebe, T., (2004b), “Field Theoretical Multiscale Modeling of Polycrystal Plasticity,” Trans. MRS-J, 29, 3619–3624.Google Scholar

Hasebe, T., (2006), “Multiscale Crystal Plasticity Modeling based on Field Theory,” Comput. Mech. Eng. Sci. (CMES), 11, 145–156.Google Scholar

Hasebe, T. (2009a), “Interaction Fields Based on Incompatibility Tensor in Field Theory of Plasticity – Part I: Theory,” IMMIJ, (Interaction and Multiscale Mechanics: An Int. J.), 2, 1–14.CrossRefGoogle Scholar

Hasebe, T. (2009b), “Interaction Fields Based on Incompatibility Tensor in Field Theory of Plasticity – Part II: Application,” IMMIJ, (Interaction and Multiscale Mechanics: An Int. J.), 2, 15–30.CrossRefGoogle Scholar

Hasebe, T. and Imaida, Y., (1996), “Effect of Blank Holder Force on Limiting Drawing Height in Hydro-spark Forming,” Advanced Technol. Plasticity 1996 (Proc. 5th ICTP), Vol. II (ed. Altan, T.), 797–800.Google Scholar

Hasebe, T. and Imaida, Y., (1998), “Construction of Quantum Field Theory of Dislocations Based on Non-Riemannian Plasticity,” Acta Metall. Sinica, 11, 405–411.Google Scholar

Hasebe, T. and Imaida, Y., (1999), “Gauge Theory of Dislocations and the Non-Riemannian Plasticity,” Progress in Mechanical Behavior of Materials (Proc. ICM8), Vol. III (eds. Ellyn, F. and Provan, J. W.), pp. 1077–1082, University of Victoria.Google Scholar

Hasebe, T. and Imaida, Y., (2003) (MS Thesis, Doshisha University).Google Scholar

Hasebe, T. and Imaida, Y., (2007), “On Micro Forming by Hydro Spark Forming Method,” Mater. Sci. Forum, 566, 167–172.CrossRefGoogle Scholar

Hasebe, T. and Naito, T., (2014), “FTMP-based 4D Evaluations of Discrete Dislocation Systems,” in Proc. 35th Risø Int. Symp. Maters. Sci.: New Frontiers of Nanometals (eds. Fæster, S., Jensen, D. J., Hansen, N., Ralph, B., and Sun, J.), pp. 306–312, Department of Wind Energy, Roskilde Danish Technical University.Google Scholar

Hasebe, T. and Sugiyama, M., (2014), “FTMP-based Simulation for Self-evolving Dislocation Substructures under Simple Shear for Steel Single Crystals Having BCC Structure,” in Proc. 35th Risø Int. Symp. Maters. Sci.: New Frontiers of Nanometals (eds. Fæster, S., Jensen, D. J., Hansen, N., Ralph, B., and Sun, J.), pp. 313–320, Department of Wind Energy, Roskilde Danish Technical University.Google Scholar

Hasebe, T., Imaida, Y., and Nakamoto, H., (1998), “Effect of Pre-Torsion Strain on Impact Compression Behavior of FCC Metals,” J. Soc. Mat. Sci. Japan, 47, 26–32.CrossRefGoogle Scholar

Hasebe, T., Kumai, S., and Imaida, Y., (1999), “Impact Compression Behavior of FCC Metals With Pre-Torsion Strains”, Mater. Process. Technol., 85, 184–187.CrossRefGoogle Scholar

Hasebe, T., Shibahara, K., and Imaida, Y., (1997), “Modelling of Dislocation Interaction in FCC Metals and Its Application to Nonproportional Cyclic Loading.” J. Soc. Mat. Sci., Japan, 46, 475–480.CrossRefGoogle Scholar

Hasebe, T., Sugiyama, M., Adachi, H., Fukutani, S., and Iida, M., (2014), “Modeling and Simulations of Experimentally-Observed Dislocation Substructures Based on Field Theory of Multiscale Plasticity (FTMP) Combined with TEM and EBSD-Wilkinson Method for FCC and BCC Poly/Single Crystals,” Mate. Trans., 55, 779–787.CrossRefGoogle Scholar

Hasebe, T., Takenaga, Y., Kakimoto, H., and Imaida, Y., (1998), “High Strain Rate Forming Using Underwater Shock Wave Focusing Technique,” J. Maters. Process. Technol., 85, 194–197.CrossRefGoogle Scholar

Hasegawa, T., Yakou, T., and Karashima, S., (1975), “Deformation Behavior and Dislocation Structures upon Stress Reversal in Polycrystalline Aluminium,” Mater. Sci. Eng., 20, 267–276.CrossRefGoogle Scholar

Hatanaka, K., (1974), “Fatigue-Induced Dislocation Structures and Some Considerations of Cyclic Deformation Behavior of Metals,” J. Soc. Maters. Sci., 23, 423–436.CrossRefGoogle Scholar

Hatherly, M. and Hutchinson, W. B., (1979), “An Introduction to Textures in Metals,” (Monograph 5), The Institution of Metallurgists, London.Google Scholar

Hayakawa, N., (2003), “Sanitu Ryushi-kei no Rikigaku (Mechanics of Dissipative Particle Systems),” Iwanami Lectures: The World of Physics and Mathematics, 4, Iwanami, (In Japanese).Google Scholar

Higashida, K. and Morikawa, T., (2008), “Microstructural Characteristics Developed by Inhomogeneous Plastic Flow: Focusing on the Formation of Shear Bands,” Tetsu-to-Hagané, 94, 576–581.CrossRefGoogle Scholar

Hill, R., (1968), “On Constitutive Inequalities for Simple Materials - I,” J. Mech. Phys. Solids, 16, 229–242.CrossRefGoogle Scholar

Hill, R. and Rice, J. R. J., (1972), “Constitutive Analysis of Elastic-Plastic Crystals at Arbitrary Strain,” J. Mech. Phys. Solids, 20, 401–413.CrossRefGoogle Scholar

Hirsch, J. and Lucke, J. K., (1988a), “Description and Presentation Methods for Textures,” Texture. Microstruct., 8 & 9, 131–151.CrossRefGoogle Scholar

Hirsch, J. and Lucke, J. K., (1988b), “Mechanism of Deformation and Development of Rolling Textures in Polycrystalline F.C.C. Metals -I. Description of Rolling Texture Development in Homogeneous CuZn Alloys,” Acta Metall., 36, 2863–2882.CrossRefGoogle Scholar

Hirsch, P. B., (1960), Proc. 5th Int. Conf. Crystallography, Cambridge University Press.Google Scholar

Hirth, J. P. and Lothe, J., (1982), Theory of Dislocations, Krieger.Google Scholar

Holt, D., (1970), “Dislocation Cell Formation in Metals,” J. Appl. Phys., 41, 3197–3201.CrossRefGoogle Scholar

Homma, H., (1989), “Crack Propagation Analyses Based on Continuously Distributed Dislocation Models,” in Computational Mechanics [I] (ed. Yagawa, G.), pp. 146–162, Yokendo (in Japanese).Google Scholar

Homma, H., Kurihara, K., and Nakazawa, H., (1984), “Numerical Analysis of Fatigue Striations,” J. Mech. Solids, 32, 213–226.CrossRefGoogle Scholar

Honeycomb, R. W. K., (1968), The Plastic Deformation of Metals, Edward Arnold.Google Scholar

Hong, C., Huang, X., and Winther, G., (2013), “Dislocation Content of Geometrically Necessary Boundaries Aligned with Slip Planes in Rolled Aluminium,” Phil. Mag. A, 93, 3118–3141.CrossRefGoogle Scholar

Hu, H. and Goodman, S. R., (1963), “Texture Transition in Copper,” Trans. Metall. Soc. AIME, 227, 627–639.Google Scholar

Hu, H., Sperry, P. R., and Beck, P. A., (1952), “Rolling Textures in Face-Centered Cubic Metals,” J. Metals (Trans AIME), 194, 76–81.Google Scholar

Huang, S. and Clifton, R. J., (1985), “Dynamic Plastic Response of OFHC Copper at High Shear Strain Rates,” in Macro and Micro-mechanics of High Velocity Deformation and Fracture, IUTAM Symposium on MMMHVDF, Tokyo, Japan (eds. Kawata, K. and Shioiri, J.), pp. 63–74, Springer.Google Scholar

Huang, X. and Winther, G., (2007), “Dislocation Structures. Part I. Grain Orientation Dependence,” Phil. Mag., 87, 5189–5214.CrossRefGoogle Scholar

Hughes, D., (2001), Scaling of Deformation-Induced Microstructures in FCC Metals, Scripta Mat.,. Hughes, F. A., and Chapman & Hall (translation of original 1935 German edn.).Google Scholar

Hughes, D. A. and Hansen, N., (2000), “Microstructure and Strength of Nickel as Large Strains,” Acta Mater., 48, 2985–3004. (See “Glossary” on p. 20 for detailed classification of dislocation structures.)CrossRefGoogle Scholar

Humphreys, F. J. and Hatherly, M., (2004), “Recrystallization and Related Annealing Phenomena,” Elsevier. (First ed. 1995.)Google Scholar

Hutchinson, J. W., (1976), “Bounds and Self-consistent Estimates for Creep of Polycrystalline Materials,” Proc. R. Soc. London, A., 348, 101–127.Google Scholar

Hutchinson, W. B., (1994), “Practical Aspects of Texture Control in Low Carbon Steels,” Mater. Sci. Forum, 157, 1917–1928.CrossRefGoogle Scholar

Icke, V., (1995), The Force of Symmetry, Cambridge University Press.CrossRefGoogle Scholar

Ihara, S. and Hasebe, T., (2019), “FTMP-based Simulations and Evaluations of Geometrically Necessary Boundaries (GNBs) of Dislocation,” Int. J Multiphys., 13, 253–268.Google Scholar

Ihara, S., Uematsu, M., and Hasebe, T., (2020), “FTMP-based Simulation and Evaluation of Apparent Reduction in Elastic Modulus,” Int. J. Multiphys., 14, 373–388.Google Scholar

Ikeda, S., (1975), Prolegomena to Applied Geometry, Maha-shobo (in Japanese).Google Scholar

Iron and Steel Inst. Japan, The (ISIJ), (2001), The Final Report of Research Group on High-Speed Deformation of Steels for Automotive Use, ISIJ.Google Scholar

Ito, K. and Vitek, V., (2001), “Atomistic Study of Non-Schmid Effects in the Plastic Yielding of BCC Metals,” Philos. Mag., 81, 1387–1407.CrossRefGoogle Scholar

Itoh, T., (1992), “Study of Cyclic Constitutive Relation under Proportional and Nonproportional Multi-axial Loading and High Temperature Low Cycle Fatigue Life Evaluation,” PhD Thesis, Ritsumeikan University, Japan.Google Scholar

Itoh, T., Sakane, M., Ohnami, M., and Ameyama, K., (1992), “Effect of Stacking Fault Energy on Cyclic Constitutive Relation Under Nonproportional Loading,” J. Soc. Mat. Sci. Japan, 41, 1361–1367.CrossRefGoogle Scholar

Ivanchenko, Y. M. and Lisyansky, A. A., (1995), Physics of Critical Fluctuations, Springer.CrossRefGoogle Scholar

Ivanova, V. S. and Terentyev, V. F. (eds.), (1975), Nature of Metal Fatigue, Metallurgy Moscow.Google Scholar

Iwashita, K. and Oda, M., (1999), Mechanics of Granular Materials: An Introduction, CRC Press.Google Scholar

Jackobsen, B., Poulsen, H. F., Lienert, U., Almer, J., Shastri, D., Sorensen, H. O., Gundlach, C., and Pantleon, W., (2006), “Formation and Subdivision of Deformation Structures During Plastic Deformation,” Science, 312, 889–892.CrossRefGoogle Scholar

Jackson, P. J. and Basinski, Z. S., (1967), “Latent Hardening and the Flow Stresses in Copper Single Crystal,” Canadian J. Physics, 45, 707–735.CrossRefGoogle Scholar

JIM (Japan Inst. Metals), (1985), Zairyo Kyodo no Genshi-ron (Atomistic Theory of Mechanics of Materials), JIM (in Japanese).Google Scholar

Johnson, P. E., Schmitt, J.-H., Vincent, S. A., and MorrisJr., J. W., (1990), “The Effect of Prestrain Temperatures on Dislocation Cell Formation and Subsequent Tensile Behavior in Low Carbon Steel Sheets,” Scripta Metall et Mater., 24, 1447–1452.CrossRefGoogle Scholar

Johnston, W. G. and Gilman, J. J., (1959), “Dislocation Velocities, Dislocation Densities, and Plastic Flow in Lithium Fluoride Crystals,” J. Appl. Phys., 33, 129–144.CrossRefGoogle Scholar

Johnston, W. G. and Gilman, J. J., (1960), “Dislocation Velocities, Dislocation Densities, and Plastic Flow in Lithium Fluoride Crystals,” UFN, 70, 489–514 (in Russian) https://doi.org/10.3367/UFNr.0070.196003c.0489.Google Scholar

Kadić, A. and Edelen, D. G. B., (1983), A Gauge Theory of Dislocations and Disclinations, Lecture Notes in Physics, 174, Springer.CrossRefGoogle Scholar

Kajiwara, N., Imiya, K., and Hasebe, T., (2013), “FTMP-based Modeling and Simulation of Magnesium,” Inter. J. Comp. Maters. Sci. Eng., 2, 1350022.CrossRefGoogle Scholar

Kalidindi, S. R., (2004), “A Crystal Plasticity Framework for Deformation,” in Continuum Scale Simulation of Engineering Materials (eds. Raab, D., Roters, F., Barlat, F., and Chen, L.-Q.), pp. 543–560, Wiley-VCH.CrossRefGoogle Scholar

Kambe, T. and Drazin, P. G., (1998), Fluid Dynamics, Stability and Turbulence, University of Tokyo Press.Google Scholar

Karashima, S., (1972), Kinzoku Gokin no Kyoudo (Strength of Metals and Alloys), Maruzen (in Japanese).Google Scholar

Karashima, S. and Kainuma, N., (1975), (See Nishiyama, Z. and Koda, S. (eds.)) MaruzenGoogle Scholar

Karashima, S., Oikawa, H., and Ogura, T., (1967), “Electron Microscopic Study of Substructure Developed around Fatigue Cracks,” J. Japan Inst. Metals, 31, 674–678 (in Japanese).CrossRefGoogle Scholar

Karashima, S., Oikawa, H., and Ogura, T., (1968), “Studies on Substructures around a Fatigue Crack in FCC Metals and Alloys,” Trans. Japan Inst. Metals, 9, 205–213.CrossRefGoogle Scholar

Karnthaler, H. P. and Winter, E., (1975), “Weak Beam TEM Studies of Composite Dislocations in F.C.C. Alloys” Acta Met., 23, 1501–1509.CrossRefGoogle Scholar

Kato, M., (1999), Introduction to the Theory of Dislocations, Shokabo (in Japanese).Google Scholar

Kawasaki, K. and Matsuo, M., (1984), “Deformation Structures as Nucleation Sites for Recrystallization,” Tesu to Hagane, 70, 1808–1815.CrossRefGoogle Scholar

Kawata, K. and Shiori, J., (eds.), (1995), Constitutive Relation in High/Very High Strain Rates, IUTAM Symp., Noda, Japan, Springer.Google Scholar

Kelley, E. W. and Hosford, W. F. Jr. (1968a), “Plane-Strain Compression of Magnesium and Magnesium Alloy Crystals,” Trans. Metall. Soc. AIME, 242, 5–13.Google Scholar

Kelley, E. W. and Hosford, W. F. Jr. (1968b), “The Deformation Characteristics of Textured Magnesium,” Trans. Metall. Soc. AIME, 242, 654–661Google Scholar

Kestens, L. A. I. and Pirgazi, H., (2016), “Texture Formation in Metal Alloys with Cubic Crystal Structures,” Mater. Sci. Technol., 32, 1303–1315.CrossRefGoogle Scholar

Khachaturian, A. G., (1983), Theory of Structural Transformation in Solids, John Wiley and Sons.Google Scholar

Khan, A. S. and Huang, S., (1995), Continuum Theory of Plasticity, Wiley Interscience.Google Scholar

Kida, S. and Goto, S., (1997), “A Lagrangian Direct-Interaction Approximation for Homogeneous Isotropic Turbulence,” J. Fluid Mech., 345, 307–345.CrossRefGoogle Scholar

Kida, S. and Yanase, S., (1999), Mechanics of Turbulence (Ranryu Rikigaku), Asakura (in Japanese).Google Scholar

Kida, S., Itoh, T., Sakane, M., Ohnami, M., and Socie, D.F., (1997), “Dislocation Structure and Non-Proportional Hardening of Type 304 Stainless Steel,” Fatigue Fract. Eng. Mater. Struct., 20, 1375–1386CrossRefGoogle Scholar

Kimura, H., (1998), Zairyo Kyodo no Kangae-kata (A Perspective on Mechanics of Materials), AGNE Gijutu Center (in Japanese).Google Scholar

Kishimoto, M., (2004), “Study of Fatigue Crack Initiation Condition for Steels,” Master Thesis, Kobe University (in Japanese).Google Scholar

Kittel, C., (1953), Introduction to Solid State Physics, John Wiley & Sons.Google Scholar

Kleinert, H., (1989), Gauge Fields in Condensed Matter, Vol. I & II, World Scientific.Google Scholar

Klepaczko, J. R., (1967), “Effect of Strain-Rate History on the Strain Hardening Curve of Aluminum,” Arch. Mech., 19, 211–228.Google Scholar

Klepaczko, J. R. (1968), “Strain Rate History Effects for Polycrystalline Aluminum and Theory of Intersections 1,” Mech. Phys. Solids, 16, 255–266.CrossRefGoogle Scholar

Klepaczko, J. R. (1981), “Strain Rate Incremental Test of Copper,” Tech. Rep. Div. Eng. Brown Univ. DMR-79-23257/2.Google Scholar

Klesnil, M., and Lukás, P., (1965), “Dislocation Arrangement in the Surface Layer of α-Iron Grains During Cyclic Loading,” J. Iron Steel Inst., 203, 1043–1048.Google Scholar

Kocanda, S., (1978), Fatigue Failure of Metals, Springer.CrossRefGoogle Scholar

Kocks, U. F., (1964), “Latent Hardening and Secondary Slip in Aluminum and Sliver,” Trans. Met. Soc. AIME, 230, 1160–1167.Google Scholar

Kocks, U. F., (1970), “The Relation between Polycrystal Deformation and Single Crystal Deformation,” Metall. Trans., 1, 1121–1143.CrossRefGoogle Scholar

Kocks, U. F. (1976), “Laws for Work Hardening and Low-temperature Creep,” J. Eng. Mater. Tech., 98, 76–85.CrossRefGoogle Scholar

Kocks, U. F. and Brown, T. J., (1966), “Latent Hardening in Aluminum,” Acta Metall. 14, 87–98.CrossRefGoogle Scholar

Kocks, U. F., Argon, A. S., and Ashby, M. F. (1975), The Thermodynamics and Kinetics of Slip, Progress in Materials Science Series, 19, Pergamon Press.Google Scholar

Kocks, U. F., Tome, C. N., and Wenk, H.-R. (eds.), (1998), Texture and Anisotropy, Cambridge University Press.Google Scholar

Kocks, U. F., Tomé, C. N., and Wenk, H.-R., (2000), Texture and Anisotropy, Cambridge University Press.Google Scholar

Koda, S., (1993), Kinzoku Butsurigaku Josetsu (Introduction to Metal Physics), Corona Publishing Co. (in Japanese).Google Scholar

Kojima, K., (2001), “Effect of Strain Aging on High Strain Rate Deformation of Ultra Low Mild Steel Sheets,” in The Final Report of Research Group on High Speed Deformation of Steels for Automotive Use, p. 171, ISIJ (The Iron & Steel Inst. Japan).Google Scholar

Kolmogorov, A., (1941a), “The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers,” Dokl. Akad. Nauk. SSSR, 30, 301–305 (reprinted in Proc. R. Soc. London, A, 434 (1991), 9–13).Google Scholar

Kolmogorov, A., (1941b), “On Degeneration (Decay) of Isotropic Turbulence in an Incompressible Viscous Liquid,” Dokl. Akad. Nauk. SSSR, 31, 338–341.Google Scholar

Kolmogorov, A., (1941c), “Dissipation of Energy in Locally Isotropic Turbulence,” Dokl. Akad. Nauk. SSSR, 32, 16–18 (reprinted in Proc. R. Soc. London, A, 434 (1991), 15–17).Google Scholar

Kolmogorov, A., (1941d), “On the Logarithmically Normal Law of Distribution of the Size of Particles under Pulverization,” Dokl. Akad. Nauk. SSSR, 31, 99–101.Google Scholar

Kondo, K. (1955), “Non-Riemannian Geometry of Imperfect Crystals from a Macroscopic Viewpoint,” RRAG Memoirs, 1 D-I, 458–469.Google Scholar

Kondo, K. (ed.), (1960), RAAG Memoirs of Unifying Study of Basic Problems in Engineering and Physical Science by Means of Geometry, Gakujutsu Bunken Fukyu-kai.Google Scholar

Kondo, K., (1968), “A Unified Derivation of the Fundamental Equations of Yielding and of Dual Yielding,” RAAG Memoirs, 4, 315–327.Google Scholar

Kondo, K., Hirano, Y., and Minagawa, S., (1962), “The Compensation of the Riemann-Christoffel Curvature Tensor by Dislocation Pairs,” RAAG Memoirs, 3 D-XI, 198–214.Google Scholar

Koslowski, M., Cuitino, A., Ortiz, M., LeSar, R., and Thomson, R., (2004), “Dislocation Patterns and the Deformation of Metals,” Paper presented at the 2004 TMS Ann. Meeting & Exhibition, Charlotte, NC., 17 March, The Minerals, Metals & Materials Society, www.ortiz.caltech.edu/presentations/pdf/tms-04.pdf.Google Scholar

Kratochvil, J., (1990a), “Derivation of Mughrabi’s Cellular Structure Model from Synergetics of Dislocations,” Scripta Metall. Mater., 24, 891–894.CrossRefGoogle Scholar

Kratochvil, J., (1990b), “Instability Origin of Dislocation Cell Misorientation,” Scripta Metall. Mater., 24, 1225–1228.CrossRefGoogle Scholar

Kröner, E., (1958), Kontinuumstheorie der Versetzungen und Eigenspanungen, Springer-Verlag.CrossRefGoogle Scholar

Kröner, E., (1961), “Zur Plastischen Verformung des Vielkristells,” Acta Metall., 9, 155–161.CrossRefGoogle Scholar

Kröner, E. (ed.), (1968), Interrelations between Various Branches of Continuum Mechanics, IUTAM Symp. Mech. Generalized Continua, Springer.CrossRefGoogle Scholar

Kröner, E., (1998), “Benefit and Non-Benefit of the Continuum Theory of Dislocations,” Workshop on Modelling of Dislocations and Their Impact on Materials’ Behavior, Staatliche Materialprüfungsanstalt, Stuttgart University, Pfaffenwaldring 32 D-70569 Stuttgart (July 22, 1998).Google Scholar

Kröner, E., (2001), “Benefits and Shortcomings of the Continuous Theory of Dislocations,” Int. J. Solids Struct., 38, 1115–1134.CrossRefGoogle Scholar

Kubin, L. P., (1996), “Dislocation Patterns: Experiment, Theory and Simulation,” in Stability of Materials (eds. Gonis, A., Turchi, P. E. A., and Kurdrnovsky, J.), Procs. NATO Advanced Study Institute on Stability of Materials, 1994, Greece, pp. 99–135, Plenum Press.CrossRefGoogle Scholar

Kubin, L. P. and Devincre, B., (1999), “From Dislocation Mechanisms to Dislocation Microstructures and Strain Hardening,” in Deformation-induced Microstructures: Analysis and Relation to Properties (Proc. 20th Risø Int. Symp. Maters. Sci.) (eds. Bilde-Soerensen, J. B., Carstensen, J. V., Hansen, N., Juul Jensen, D., Leffers, T., Pantleon, W., Pedersen, O. B., and Winther, G.), pp. 61–83, Department of Wind Energy, Roskilde Danish Technical University.Google Scholar

Kubin, L. P., Canova, G., Condat, G., Devincre, B., Pontikis, V., and Brechet, Y., (1992), “Dislocation Microstructures and Plastic Flow: 3D Simulation,” Solid State Phenomena, 23–24, 455–472.CrossRefGoogle Scholar

Kubo, R., Toda, M., and Hashisume, N., (1998) Statistical Physics II (Nonequilibrium Statistical Mechanics), 2nd ed, Springer.Google Scholar

Kuhlmann-Wilsdorf, D., (1989), “Theory of Plastic Deformation:-Properties of Low Energy Dislocation Structures,” Mater. Sci. Eng.: A, 113, 1–41.CrossRefGoogle Scholar

Kuhlmann-Wilsdorf, D., (1992), “Fundamentals of Cell and Subgrain Structures in Historical Perspective,” Scripta Metall. Mater., 27, 951–956.CrossRefGoogle Scholar

Kuhlmann-Wilsdorf, D., (1999a) “The Theory of Dislocation-Based Crystal Plasticity,” Phil. Mag. A, 79, 955–1008.CrossRefGoogle Scholar

Kuhlmann-Wilsdorf, D., (1999b), “‘Regular’ Deformation Bands (DBs) and the LEDS Hypothesis,” Acta Mater., 47, 1967–1712.CrossRefGoogle Scholar

Kuhlmann-Wilsdorf, D. and Hansen, N., (1991), “Geometrically Necessary, Incidental and Subgrain Boundaries,” Scripta Metall. Mater., 25, 1557–1562.CrossRefGoogle Scholar

Kumagai, J., Takaki, S., Suzuki, S., and Kimura, H., (1990), “Temperature Dependence of Work Hardening in High Purity Iron Single Crystals,” Mater. Trans., 31, 118–128.CrossRefGoogle Scholar

Kurzydlowski, K. J. and Ralph, B., (1995), The Quantitative Description of the Microstrcuture of Materials, CRC Press.Google Scholar

Kysar, J. W., Gan, Y. X., Morse, T. L., Chen, X., and Jones, M. E., (2007), “High Strain Gradient Plasticity Associated with Wedge Indentation into Face-centered Cubic Single Crystals: Geometrically Necessary Dislocation Densities,” J. Mech. Phys. Solids, 55, 1554–1573.CrossRefGoogle Scholar

Landau, L. D. and Lifshitz, E. M., (1987), Fluid Mechanics, 2nd ed., Pergamon Press.Google Scholar

Lardner, R. W., (1974), Mathematical Theory of Dislocations and Fracture, University of Tronto Press.Google Scholar

Lavigne, D. M., (1997), “Ecological Interactions Between Marine Mammals, Commercial Fisheries, and Their Prey: Unravelling the Tangled Web,” Oceanogr. Lit. Rev., 44, 229–229.Google Scholar

Lazar, M., and Kirchner, H. O. K., (2007), “The Eshelby Stress Tensor, Angular Momentum Tensor and Scaling Flux in Micropolar Elasticity,” Int. J. Mech. Solids Struct., 44, 4613–4620.CrossRefGoogle Scholar

Lee, E. H., (1969), “Elastic-Plastic Deformations at Finite Strains,” ASME, J. Appl. Mech., 36, 1–6.CrossRefGoogle Scholar

LeSar, R. and Rickman, J. M., (2004), “Coarse Graining of Dislocation Structure and Dynamics,” in Continuum Scale Simulation of Engineering Materials (eds. Raab, D., Roters, F., Barlat, F., and Chen, L.-Q.), pp. 429–444, Wiley-VCH.CrossRefGoogle Scholar

Leslie, W. C., (1981), The Physical Metallurgy of Steels, McGraw-Hill.Google Scholar

Levine, L. E., Geantil, P., Larson, B. C., Tischler, J. Z., Kassner, M. E., Liu, W., Stoudt, M. R., and Tavazz, F., (2011), “Disordered Long-Range Internal Stresses in Deformed Copper and the Mechanisms Underlying Plastic Deformation,” Acta Mater., 59, 5803–5811.CrossRefGoogle Scholar

Lifshitz, E. M. and Landau, L. D., (1979), The Classical Theory of Fields, Pergamon.Google Scholar

Lindholm, U. S., (1965), Dynamic Deformation of Metals, Behavior of Materials Under Dynamic Loading, Springer.Google Scholar

Lindholm, U. S., (1968), “Some Experiments in Dynamic Plasticity under Combined Stress,” in “Mechanical Behavior of Materials under Dynamic Loads,” pp. 77–95. Springer.CrossRefGoogle Scholar

Liu, Q. and Hansen, N., (1995), “Geometrically Necessary Boundaries and Incidental Dislocation Boundaries Formed During Cold Deformation,” Scripta Metall. Mater., 32, 1289–1295.CrossRefGoogle Scholar

Liu, Q., Jensen, D. J., and Hansen, N., (1998), “Effect of Grain Orientation on Deformation Structure in Cold-Rolled Polycrystalline Aluminum,” Acta Mater., 46, 5819–5838.CrossRefGoogle Scholar

Liu, W. K., Jun, S., and Zhang, Y. F. (1995), “Reproducing Kernel Particle Methods”, I. J. Numer. Methods Fluids, 20, 1081–1106.CrossRefGoogle Scholar

Livingston, J. D., (1960), “Etch Pits at Dislocations in Copper,” J. Appl. Phys., 31, 1071–1076.CrossRefGoogle Scholar

Livingston, J. D., (1962), “The Density and Distribution of Dislocations in Deformed Copper Crystals,” Acta Metall., 10, 229–239.CrossRefGoogle Scholar

Logan, R. W. and Hosford, W. F., (1980), “Upper Bound Anisotropic Yield Locus Calculation Assuming -Pencil Glide,” Int. J. Mech. Sci. 22, 419–430.CrossRefGoogle Scholar

Love, A. E. H., (1944), A Treatise on the Mathematical Theory of Elasticity, Dover Publications.Google Scholar

Lowe, T. C. and Valiev, R. Z., (eds.), (2000), Investigation and Applications of Severe Plastic Deformation, NATO Science Series, 3. High Technology, Kluwer.CrossRefGoogle Scholar

Lubarda, V. A., (2001), Elastoplasticity Theory, CRC Press.CrossRefGoogle Scholar

Lukas, P., Klesnil, M., and Fiedler, R., (1969), “Plastic Zone around the Propagating Fatigue Crack,” Phil. Mag., 18, 799–805.CrossRefGoogle Scholar

Lung, C. W. and March, N. H., (1999), Mechanical Properties of Metals (Atomistic and Fractal Continuum Approaches), World Scientific.CrossRefGoogle Scholar

Ma, B. and Laird, C., (1989a), “Overview of Fatigue Behavior of Copper Single Crystals,- I. Surface Morphology and Stage I Crack Initiation Sites for Tests at Constant Strain Amplitude,” Acta Metall., 37, 325–336.Google Scholar

Ma, B. and Laird, C., (1989b), “Overview of Fatigue Behavior of Copper Single Crystals,- II. Population, Size, Distribution and Growth Kinetics of Stage I Cracks for Tests at Constant Strain Amplitude,” Acta Metall., 37, 337–348.Google Scholar

Madec, R. and Kubin, L. P., (2004), “Dislocation Interactions and Symmetries in BCC Crystals,” in IUTAM Symp. Mesoscopic Dynamics of Fracture Process and Materials Strength (eds. Kitagawa, H. and Shibutani, Y.), pp. 69–78, Springer.CrossRefGoogle Scholar

Maeda, K. and Takeuchi, S., (2011), “Physics of Crystal Defects (Kessho Kekkan no Butsuri),” Shokabo, p. 151 (in Japanese).Google Scholar

Maki, T., Tsuzaki, K., and Tamura, I., (1979), “The Construction of Lath Martensite,” Tetsu-to-Hagane, 65, 515–524.CrossRefGoogle Scholar

Malvern, L. E., (1969), Introduction to the Mechanics of Continuous Media, Prentice-Hall.Google Scholar

Malygin, G. A., (2004), “Analysis of the Parameters of a Submicron Dislocation Structure in Metals Subjected to Severe Plastic Deformation,” Phys. Solid State, 46, 2035–2041.CrossRefGoogle Scholar

Marder, M. P., (2000), Condensed Matter Physics, Wiley-Interscience.Google Scholar

Marian, J., Cai, W., and Bulatov, V. V., (2004), “Dynamic Transitions from Smooth to Rough to Twining in Dislocation Motion,” Nat. Mater., 3, 158–163.CrossRefGoogle Scholar

Martin, J. W., Doherty, R. D., and Cantor, B., (1976), “Instability due to Strain Energy,” in Stability of Microstructure in Metallic Systems (eds. Martin, J. W. and Doherty, R. D.) pp. 147–218, Cambridge University Press.Google Scholar

Marukawa, K., (1967), “Dislocation Motion in Copper Single Crystal,” J. Phys. Soc. Japan, 22, 499–510.CrossRefGoogle Scholar

May, R. M., (1973), Stability and Complexity in Model Ecosystems, Princeton University Press.Google ScholarPubMed

McDavid, A. W. and McMullen, C. D., (2006), “Generalizing Cross Products and Maxwell’s Equations to Universal Extra Dimension,” (http://arxiv.org/abs/hep-ph/0609260).Google Scholar

McDowell, D. L., (ed.), (2005), “Plasticity of Heterogeneous Materials,” Int. J. Plasticity, 21, 2051–2254.CrossRefGoogle Scholar

McQueen, H. J., (1988), “Initiating Nucleation of Dynamic Recrystallization, Primarily in Polycrystals,” Mat. Sci. Eng. A, 101, 149–160.CrossRefGoogle Scholar

Mecking, H. and Kocks, U. F., (1981), “Kinetics of Flow and Strain-Hardening,” Acta Metall., 29, 1865–1875.CrossRefGoogle Scholar

Meinhardt, H. and Gierer, A., (1974), “Applications of a Theory of Biological Pattern Formation Based on Lateral Inhibition,” J. Cell. Sci., 15, 321–346.CrossRefGoogle ScholarPubMed

Mekala, S., Eisenlohr, P., and Blum, W., (2011), “Control of Dynamic Recovery and Strength by Subgrain Boundaries – Insights from Stress-Change Tests on CaF2 Single Crystals,” Phil. Mag., 91, 909–932.CrossRefGoogle Scholar

Meyers, M. A., (1994), Dynamic Behavior of Materials, Wiley-Interscience.CrossRefGoogle Scholar

Meyers, M. A., Murr, L. E., Staudhammer, K. P., (eds.), (1992), Shock-Wave and High-Strain-Rate Phenomena in Materials, Marcel Dekker.Google Scholar

Miekk-oja, H. M. and Lindroos, V. K., (1975), “Dislocation Structures in Deformation at Elevated Temperatures,” in Constitutive Equations in Plasticity (ed. Argon, A. S.), pp. 327–358, MIT Press.Google Scholar

Miguel, M.-C., Vespignanl, A., Zapperi, S., Weiss, J., and Grasso, J.-R., (2001a), “Intermittent Dislocation Flow in Viscoplastic Deformation,” Nature, 410, 667–671.CrossRefGoogle ScholarPubMed

Miguel, M.-C., Vespignanl, A., Zapperi, S., Weiss, J. and Grasso, J.-R., (2001b), “Complexity in Dislocation Dynamics: Model,” Maters. Sci. Engng.: A, 390, 324–327.CrossRefGoogle Scholar

Mika, D. P. and Dawson, P. R., (1999), “Polycrystal Plasticity Modeling of Intracrystalline Boundary Textures,” Acta Mater., 47, 1355–1369.CrossRefGoogle Scholar

Miklashevich, I., (2008), Micromechanics of Fracture in Generalized Spaces, Academic Press, Elsevier.Google Scholar

Mindlin, R. D., (1964), “Microstructure in Linear Elasticity,” Arch. Rat. Mech. Anal., 16, 51–78.CrossRefGoogle Scholar

Minagawa, S. (1962), “Riemannian Three-Dimensional Stress Function Space,” RAAG Memoirs, III, 69–81.Google Scholar

Minagawa, S., (1968), “On Some Generalized Features of the Theory of Stress-Function Space with Reference to the Problem of Stresses in a Curved Membrane,” RAAG Memoirs, 4, 159–170.Google Scholar

Minagawa, S. and Nishida, T., (1972), “Stress Produced by a Continuous Distribution of Moving Dislocations in an Isotropic Continuum,” Phys. Rev. Lett., 28, 353–355.CrossRefGoogle Scholar

Minagawa, S. and Ogata, H., (1990), “On the Basic Components of the Interaction Energy Between Two Infinitesimal Circular Defects in an Isotropic Elastic Body,” in Micromechanics and Inhomogeneity (eds. Weng, G. J., Taya, M., and Abe, H.), pp. 257–268, Springer-Verlag.CrossRefGoogle Scholar

Mino, K., Fukuoka, C., and Yoshizawa, H., (2000), “Evolution of Intergranular Misorientation during Plastic Deformation,” J. JIM, 64, 50–55 (in Japanese).Google Scholar

Miyazaki, S. and Fujita, H. (1978), “Effects of Grain Size and Specimen Thickness on Mechanical Properties of Polycrystalline Copper and Copper-Aluminum Alloy,” Trans. JIM, 19, 438–444.CrossRefGoogle Scholar

Miyazaki, S. and Fujita, H., (1979), “Dynamic Observation of the Process of Band Formation in Polycrystalline Iron,” Trans. JIM., 20, 603–608.CrossRefGoogle Scholar

Miyazaki, S., Shibata, K., and Fujita, H., (1979), “Effect of Specimen Thickness on Mechanical Properties of Polycrystalline Aggregates with Various Grain Sizes,” Acta Metall., 27, 855–862.CrossRefGoogle Scholar

Morgan, J. W., (1996), The Sieberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds, Math. Notes 44, Princeton University Press.Google Scholar

Morito, S., (2012), personal communication.Google Scholar

Mughrabi, H., (1971), “Elektronenmikroskopische untersuchung der versetzungsanordnung verformter kupfereinkristalle im belasteten zustand,” Phil. Mag., 23, 869–895.CrossRefGoogle Scholar

Mughrabi, H., (1981), Continuum Models of Discrete Systems 4 (CMDS 4): Int. Conf. Proc. 4 (eds Brulin, O. and Hsieh, R.K.T.), p. 241, North Holland.Google Scholar

Mughrabi, H., (1983), “Dislocation Wall and Cell Structures and Long-Range Internal Stresses in Deformed Metal Crystals,” Acta Metall., 31, 1367–1379.CrossRefGoogle Scholar

Mughrabi, H. and Christ, H.-J., (1997), “Cyclic Deformation and Fatigue of Selected Ferritic and Austenitic Steels: Specific Aspects,” ISIJ Int., 37, 1154–1169.CrossRefGoogle Scholar

Mughrabi, H., Ackerman, F., and Herz, K., (1979), “Persistent Slip Bands in Fatigued Face-Centered and Body-Centered Cubic Metals,” in Fatigue Mechanics, Special Technical Publication 675 (ed. Long, J.), pp. 69–105, American Society for Testing and Materials (ASTM), https://doi.org/10.1520/STP35885S.CrossRefGoogle Scholar

Mughrabi, H., Ungar, T., Kienle, W., and Wilkens, M., (1986), “Long-Range Internal Stress and Asymmetric X-Ray Line Broadening in Tensile Deformed [001]-Oriented Copper Single Crystals,” Phil. Mag. A, 53, 793–813.CrossRefGoogle Scholar

Mura, T., (1963), “Continuous Distribution of Moving Dislocations,” Phil. Mag, 16, 843–857.CrossRefGoogle Scholar

Mura, T., (1970), “Stress and Velocity Field Produced by Uniformly Moving Dislocations in Anisotropic Media,” Phil. Mag, 21, 235–237.Google Scholar

Mura, T., (1982), Micromechanics of Defects in Solids, Kluwer Academic Publications. ((1998), 2nd revised ed.)CrossRefGoogle Scholar

Murr, L. E., (1975), Interfacial Phenomena in Metals and Alloys, Addison-Wesley.Google Scholar

Murr, L. E., (1981), “Residual Microstructure – Mechanical Property Relationships in Shock-Loaded Metals and Alloys,” in Shock Waves and High-Strain-Rate Phenomena in Metals, (eds. Meyers, M. A. and Murr, L. E.), pp. 607–674, Plenum.CrossRefGoogle Scholar

Murr, L. E. (2015), Handbook of Materials Structures, Properties, Processing and Performance, Springer.CrossRefGoogle Scholar

Murr, L. E. (2016), “Dislocation Ledge Sources: Dispelling the Myth of Frank–Read Source Importance,” Metall. Maters. Trans. A, 47, 5811–5826.CrossRefGoogle Scholar

Murr, L. E. and Kuhlmann-Wilsdorf, F., (1978), “Experimental and Theoretical Observations on the Relationship between Dislocation Cell Size, Dislocation Density, Residual Hardness, Peak Pressure and Pulse Duration in Shock-Loaded Nickel, “Acta Metall., 26, 847–857.CrossRefGoogle Scholar

Murr, L. E., Rivas, J. M., Ferreyra, E., and Sanchez, J. C., (1996), “A Comparison of Deformation Twins and Deformation-Induced Microbands in Copper,” in Microstructural Science, (eds. Burke, M. G., Clark, E. A., and Palmiere, E. J.), pp. 121–131, ASM International.Google Scholar

Musha, T., (1977), “1/f Fluctuations,” Oyo Buturi, 46, 1144–1155.Google Scholar

Nadgornyi, E., (1988), “Dislocation Dynamics and Mechanical Properties of Crystals,” Progress in Maters. Sci., 31, 1–536.CrossRefGoogle Scholar

Nagaosa, N., (1995), Quantum Field Theory in Condensed Matter Physics, Springer.Google Scholar

Nagashima, S., (1984), Shugo-Sosiki (Texture), Maruzen (in Japanese).Google Scholar

Nagayama, K., (2003), “Seibutsu-Butsurigaku no Kenkyu to Kyoiku (Research and Education in Bio-physics),” in Seibutsu Butsurigaku to ha Nanika (What is Bio-Physics?), New Bio-Physics Series II-10, (eds. Sogabe, M. and Go, N.), pp. 191–210, Kyoritsu Shuppan (in Japanese).Google Scholar

Nakada, Y. and Keh, A. S., (1966), “Latent Hardening in Iron Single Crystals,” Acta Metall., 14, 961–973.CrossRefGoogle Scholar

Needleman, A., Asaro, R. J., Lemonds, J., and Peirce, D., (1985), “Finite Element Analysis of Crystalline Solids,” Comput. Methods Appl. Mech. Enging., 52, 689–708.CrossRefGoogle Scholar

Nemat-Nasser, S., (2004), Plasticity, A Treatise on Finite Deformation of Heterogeneous Inelastic Materials, Cambridge University Press.Google Scholar

Nemat-Nasser, S. and Issacs, J. B., (1997), “Direct Measurement of Isothermal Flow Stress of Metals at Elevated Temperatures and High Strain Rates with Application to Ta and Ta-Alloys,” Acta Mater. 45, 907–911.CrossRefGoogle Scholar

Nemat-Nasser, S., Isaacs, J. B., and Liu, M., (1998), “Microstructure of High-Strain, High-Strain-Rate Deformed Tantalum,” Acta Materialia, 46, 1307–1325.CrossRefGoogle Scholar

Nesterova, E. V., Bacroix, B., and Teodosiu, C., (2001), “Microstructure and Texture Evolution under Strain-Path Changes in Low-Carbon Interstitial-Free Steel,” Metall. Maters. Trans. A, 32, 2527–2538.CrossRefGoogle Scholar

NIMS (National Institute for Materials Science), (2003), “Understanding Steel Materials of the Near Future,” Nos.1 and 2, p. 14 (in Japanese) www.nims.go.jp/stx-21/jp/publications/stpanf/pdf/gappon.pdfGoogle Scholar

Nishino, S., (1987), PhD Thesis, Ritsumeikan University, Japan.Google Scholar

Nishino, S., Hamada, N., Sakane, M., Ohnami, M., Matsumura, N., and Tokizane, M., (1986), “Microstructural Study of Cyclic Strain Hardening Behavior in Biaxial Stress States at Elevated Temperature,” Fatigue & Fract. Engng. Mater. Struct., 9, 65–77.CrossRefGoogle Scholar

Nishino, S., Sakane, M., and Ohnami, M., (1984), “An X-Ray Study of Damage Evaluation in Low-Cycle Fatigue of an Austenitic Stainless Steel at High Temperature,” J. Soc. Maters. Sci., 33, 384–390 (in Japanese).CrossRefGoogle Scholar

Nishioka, T. and Atluri, S. N., (1983), “Path-Independent Integrals, Energy Release Rates, and General Solutions of Near-Tip Fields in Mixed-Mode Dynamic Fracture Mechanics,” Eng. Fract. Mech., 18, 1–22.CrossRefGoogle Scholar

Nishiyama, Z. and Koda, S. (eds.), (1975), Kinzoku no Denshi-Kenbikyo Shyashin to Kaisetsu (Electron Micrographs of Metals and Descriptions), Maruzen (in Japanese).Google Scholar

Noether, E., (1971), “Invariant Variation Problems,” Transp. Theory and Stat. Phys., 1, 183–207.CrossRefGoogle Scholar

Nye, J. F., (1953), “Some Geometrical Relations in Dislocated Crystals,” Acta Metall., 1, 153–162.CrossRefGoogle Scholar

Oda, M. and Iwashita, K. (eds.), (1999), Mechanics of Granular Materials: An Introduction, A.A. Balkema.Google Scholar

Ogura, T. and Karashima, S., (1969), “Calculation of Growth Rate of Crack Considering Diffusion of Vacancies along Subgrain Boundaries or Dislocations,” Trans. Japan Inst. Metals, 10, 292–293.CrossRefGoogle Scholar

Ogura, T., Karashima, S., and Tsurikame, K., (1975), “Propagation of Fatigue Cracks in Aluminium at Low Temperatures,” Trans. Japan Inst. Metals, 16, 43–48.CrossRefGoogle Scholar

Ohashi, T., (1990), “Analysis of Multiple Slip in Copper Tricrystals,” Coll. de Phys. C, 1, 593–598.Google Scholar

Ohashi, T., (1997), “Finite-Element Analysis of Plastic Slip and Evolution of Geometrically Necessary Dislocations in FCC Crystals,” Phil. Mag. Lett., 75, 51–57.CrossRefGoogle Scholar

Ohashi, T., (1999), “Evaluation and Visualization of Geometrically Necessary Dislocations in Metal Microstructures by Means of Continuum Mechanics Analysis,” J. Phys. IV France (Proc. EUROMECH-MECHAMAT’98), 9, 279–284.CrossRefGoogle Scholar

Ohashi, T. and Sawada, W., (2002), “Long Range Elastic Stress Field in Two Dimensional Polycrystals,” Orally presented at Mech. Eng. Cong. 2002, Japan (MECHJ-02), JSME.Google Scholar

Ohnami, M., (1980), Introduction to Micromechanics of Solids, Ohmsha (in Japanese).Google Scholar

Ohnami, M., (1988), Plasticity and High Temperature Strength of Materials, Elsevier Applied Science.Google Scholar

Ohnami, M., (1992), Fracture and Society, Ohmsha (1st ed. 1980).Google Scholar

Ohnami, M., (1998), Yume, Sore wa JItusgen suru mono (Dreams, They are meant to Come True), Technolife Series, Ohmsha (in Japanese).Google Scholar

Ojima, M., Adachi, Y., Suzuki, S., and Tomota, Y., (2011), “Stress Partitioning Behavior in an FCC Alloy Evaluated by the In Situ/Ex Situ EBSD-Wilkinson Method,” Acta Mater., 59, 4177–4185.CrossRefGoogle Scholar

Okada, Y. and Hirokawa, N., (1999), “A Processive Single-Headed Motor: Kinesin Superfamily Protein KIF1A,” Science, 283, 1152–1157.CrossRefGoogle ScholarPubMed

Okuda, S., (1985), Zairyo Kyodo no Genshi-ron (Atomistic Theory of Strength of Materials), Japan Inst. Metals Maters. (JIMM) (in Japanese).Google Scholar

Okuda, T., Imiya, K., and Hasebe, T., (2013), “FTMP-based Simulation of Twin Nucleation and Substructure Evolution under Hypervelocity Impact,” Inter. J. Comp. Maters. Sci. Eng., 2, 1350021 (14 pages).Google Scholar

Oliferuk, W., Świa̧tnicki, W. A., and Grabski, M. W., (1995), “Effect of the Grain Size on the Rate of Energy Storage during the Tensile Deformation of an Austenitic Steel,” Maters. Sci. Eng.: A, 197, 49–58.CrossRefGoogle Scholar

Onuki, A., (2002), Phase Transition Dynamics, Cambridge University Press.CrossRefGoogle Scholar

Onuki, A. and Furukawa, A., (2001), “Phase Transitions of Binary Alloys with Elastic Inhomogeneity,” Phys. Rev. Lett., 86, 452–455.CrossRefGoogle ScholarPubMed

Oosawa, F., (2000), “The Loose Coupling Mechanism in Molecular Machines of Living Cells,” Genes to Cells., 5, 9–16.CrossRefGoogle ScholarPubMed

Oosawa, F. and Hayashi, S., (1986), “The loose Coupling Mechanism in Molecular Machines of Living Cells,” Adv. In Biophys., 22, 151–183.CrossRefGoogle ScholarPubMed

Orowan, E., (1934a), “Zur I. Tieftemperaturplastizitat und Beckersche Formel,” Z. Phys., 89, 605–613.CrossRefGoogle Scholar

Orowan, E., (1934b), “Zur II. Die dynamische Affassung der” Z. Phys., 89, 634–659.CrossRefGoogle Scholar

Orowan, E., (1948), “Untitled Paper Presented at a Symposium on Internal Stresses in Metals and Alloys,” Inst. Metals, London.Google Scholar

Ortiz, M. and Repetto, E. A., (1999), “Nonconvex Energy Minimization and Dislocation Structures in Ductile Single Crystals,” J. Mech. Phys. Solids, 397–462.CrossRefGoogle Scholar

Osipov, V. A., (1991), “Nonlinear Elastic Problems in Dislocation Theory: A Gauge Approach,” J. Phys. A: Math. Gen., 24, 3237–3244.CrossRefGoogle Scholar

Pan, J. and Rice, J. R., (1983), “Rate Sensitivity of Plastic Flow and Implications for Yield-Surface Vertices,” Int. J. Solids Structs., 19, 973–987.CrossRefGoogle Scholar

Pauli, W., (1933), “Die allgemeinen Prinzipien der Wellenmechanik,” Handbuch der Physik, XXIV, 21–192.Google Scholar

Perrin, C., Berbenni, S., Vehoff, H., and Berveiller, M., (2010), “Role of Discrete Intragranular Slip on Lattice Rotations in Polycrystalline Ni: Experimental and Micromechanical Studies,” Acta Mater, 58, 4639–4649.CrossRefGoogle Scholar

Perzyna, P., (1974), “The Constitutive Equations Describing Thermomechanical Behavior of Materials at High Rates of Strain,” in Mechanical Properties at High Rates of Strain (Proc. Conf. held in Oxford, 2–4 April 1974), London and Bristol, pp. 138–153, Inst. Phys. Conf. Ser. 21, Institute of Physics.Google Scholar

Phillips, R., (2001), Crystals, Defects and Microstructures, Modeling Across Scales, Cambridge University Press.CrossRefGoogle Scholar

Polanyi, M., (1934), “Über eine Art Gitterstörung, die einen Kristall plastich machen Könnte,” Z. Phys., 89, 660–664.CrossRefGoogle Scholar

Polanyi, M., (1968), “Life’s Irreducible Structure,” Science, 160, 1308–1312.CrossRefGoogle ScholarPubMed

Pöschel, T. and Schwager, T., (2005), Computational Granular Dynamics, Springer.Google Scholar

Prinz, F. and Argon, A. S., (1980), “Dislocation Cell Formation during Plastic Deformation of Copper Single Crystals,” Phys. Stat. Solids., 57, 741–753.CrossRefGoogle Scholar

Prinz, F., Argon, A. S., and Moffatt, W. C., (1982), “Recovery of Dislocation Structures in Plastically Deformed Copper and Nickel Single Crystals,” Acta Metall., 30, 821–830.CrossRefGoogle Scholar

PSJ (Physical Society of Japan), (1981), Randamu-kei no Butsuri-gaku (Physics of Random Systems), Baifu-kan (in Japanese).Google Scholar

PSJ (Physical Society of Japan), (1998), Randamu-kei no Butsurigaku (Physics of Random Systems), 2nd edn., Baifu-kan (in Japanese).Google Scholar

Raab, D., (1998), Computational Materials Science, Wiley-VCH.CrossRefGoogle Scholar

Raj, S. V. and Pharr, G. M., (1986), “Compilation and Analysis of Data for the Stress Dependence of the Subgrain Size,” Mater. Sci. Eng., 81, 217–237.CrossRefGoogle Scholar

Randle, V., (1994), “Grain Assemblage in Polycrystals,” Acta Metall. Mater.,” 42, 1769–1784.CrossRefGoogle Scholar

Rasmussen, T., Jacobsen, K. W., Leffers, T., Pedersen, O. B., Srinivasan, S. G., and Jónsson, H., (1997), “Atomistic Determination of Cross-Slip Pathway and Energetics,” Phys. Rev. Letts., 79, 3676–3679.CrossRefGoogle Scholar

Repetto, E. A. and Ortiz, M., (1997), “A Micromechanical Model of Cyclic Deformation and Fatigue Crack Nucleation in FCC Single Crystals,” Acta Mater., 45, 2577–2595.CrossRefGoogle Scholar

Rice, J. R., (1968), “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” Trans. ASME: J. Appl. Mech.,” E, 35, 379–386.CrossRefGoogle Scholar

Richeton, T., Berbenni, S., and Berveiller, M., (2009), “Grain-Size Dependent Accommodation Due to Intragranular Distributions of Dislocation Loops,” Acta Mater., 57, 1347–1356.CrossRefGoogle Scholar

Robertson, C. F. and Fivel, M. C., (1999), “A Study of the Submicron Indent-induced Plastic Deformation,” J. Mater. Res., 14, 2251–2258.CrossRefGoogle Scholar

Roesler, J., Harders, J., and Baeker, M., (2007), “Mechanical Behavior of Metals,” in Mechanical Behavior of Engineering Materials, 165–225, Springer.CrossRefGoogle Scholar

Rollett, A. D. and Wright, S. I., (1998), “Typical Texture in Metals,” in Texture and Anisotropy (eds. Kocks, U. F., Tome, C. N., and Wenk, H.-R.), pp. 178–238, Cambridge University Press.Google Scholar

Rosenfield, A. R. and Hahn, G. T., (1974), “Numerical Descriptions of the Ambient Low-Temperature, and High-Strain Rate Flow and Fracture Behavior of Plain Carbon Steel,” Trans. ASM, 59, 138.Google Scholar

Sagui, C., Somoza, A. M., and Desai, R. C., (1994), “Spinodal Decomposition in an Order-Disorder Phase Transition with Elastic Fields,” Phys. Rev. E, 50, 4865–4879.CrossRefGoogle Scholar

Sakino, K., (2000), “Transition on Rate Controlling Mechanism of FCC Metals at Very High Strain Rates and High Temperatures,” J. Phy. IV France, 10, 57–62.Google Scholar

Sakino, K., (2003), “Strain Rate Dependency of Dynamic Flow Stress of Iron in Wide Strain Rate Range,” J. Phys. IV France, 110, 93–98.CrossRefGoogle Scholar

Sakino, K., (2018), “Measurement of Dynamic Flow Stress at Very High Strain Rates using Hopkinson Pressure Bar with Minimum Diameter,” in Proc. 67th JSMS Ann. Meeting, May, 2018, pp. 131–132, Kochi Inst. Technol., Japan (in Japanese).CrossRefGoogle Scholar

Sakino, K., (2020), “Measurements of Flow Stress at Strain Rates of 100,000/sec and Strain Rate Dependence of Flow Stress of Iron in Wide Strain Rate Range,” Proc. 13th Symp. Impact Behavior of Materials (held on-line),” Oct. 2020, Kyoto, Japan, JSMS (in Japanese).Google Scholar

Sakino, K., (2021), “Strain Rate Dependence of Dynamic Flow Stress of 6066-T6 Aluminum Alloy at Strain Rates ranging from 1×10³ to 4×10⁴ s⁻¹,” J. Soc. Maters. Sci. Japan, 70, 237–243.CrossRefGoogle Scholar

Sakino, K. and Shioiri, J., (1991), “Dynamic Flow Stress Response of Aluminum to Sudden Reduction in Strain Rate at Very High Strain Rates,” J. de Physique III, 1, C3–35.Google Scholar

Satake, M., (1978), “Constitution of Mechanics of Granular Materials through Graph Theory,” in Proc. US-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials (eds. Cowin, S. C. and Satake, M.), pp. 47–61, Gakujyutu Bunken Fukusyakai.Google Scholar

Schmid, E. and Boas, W., (1950 [1968]), Plasticity of Crystals, F. A. Hughes.Google Scholar

Schutz, B. F., (1985), A First Course in General Relativity, Cambridge University Press.Google Scholar

Sedláček, R., (1995), “Internal Stresses in Dislocation Wall Structures,” Scripta Met. Mater., 33, 283–288.CrossRefGoogle Scholar

Sethna, J. P., Coffman, V. R., and Demler, E., (2003), “Scaling in Plasticity-Induced Cell- Boundary Microstructure: Fragmentation and Rotational Diffusion,” Phys. Rev. B, 67, 184107–184115.CrossRefGoogle Scholar

Shehadeh, M. A., Zbib, H. M., and de la Rubia, T. D., (2005), “Multiscale Dislocation Dynamics Simulations of Shock Compression in Copper Single Crystal,” Int. J. Plasticity, 21, 2255–2448.CrossRefGoogle Scholar

Shenoy, V. B., Kukta, R. V., and Philips, R., (2000), “Mesoscopic Analysis of Structure and Strength of Dislocation Junctions in FCC Metals,” Phys. Rev. Lett. 84, 1491–1494.CrossRefGoogle ScholarPubMed

Shibutani, Y., (2011), Physics of Plasticity, Morikita Shuppan (in Japanese).Google Scholar

Shimokawa, T., Nakatani, A., and Kitagawa, H., (2005), “Grain-size Dependence of the Relationship Between Intergranular and Intragranular Deformation of Nanocrystalline Al by Molecular Dynamics Simulations,” Phys. Rev. B, 71, 1–8.CrossRefGoogle Scholar

Shimura, T., (2000), Shitashimu Kotai Kozo Ron (Easy Access to Theory of Solid Structures), Asakura Shoten (in Japanese).Google Scholar

Shiotani, T., (1989), “Simulation of Continuum Dislocation Model,” Science of Machine, 41, 149–152 (in Japanese)Google Scholar

Shioya, T., (1989), “Simulations by Continuously-Distributed Dislocation Models,” in Computational Mechanics [I] (ed. Yagawa, G.), pp. 180–188, Yokendo (in Japanese).Google Scholar

Smallman, R. E., (1970), Modern Physical Metallurgy, Butterworth.Google Scholar

Sogabe, M. and Go, N. (eds.), (2003), Seibutsu Butsurigaku to ha Nanika (What is Bio-Physics?), New Bio-Physics Series II-10, Kyoritsu Shuppan (in Japanese).Google Scholar

Staker, M. R. and Holt, D. L., (1972), “The Dislocation Cell Size and Dislocation Density in Copper Deformed at Temperatures between 25 and 700°C,” Acta Metall., 20, 569–579.CrossRefGoogle Scholar

Strogatz, S., (2003), SYNC, The Emerging Science of Spontaneous Order, Penguin.Google Scholar

Stuwe, H. P., (1997), “Experimental Aspects of Crystal Plasticity” in Large Plastic Deformation of Crystalline Aggregates (ed. Teodosiu, C.), pp. 1–20, Springer.Google Scholar

Sugimoto, K. et al., (1991), Zairyo Soshikigaku (Structures in Materials), Asakura (in Japanese).Google Scholar

Sugita, K., Okamoto, Y., and Sekine, M., (1998), Path Integrals and Quantum Electrodynamics, Morikita Shuppan (in Japanese).Google Scholar

Suresh, S., (1998) Fatigue of Materials, Cambridge University Press.CrossRefGoogle Scholar

Suzuki, H., (1967), Teni-ron Nyumon (Introduction to Dislocation Theory), Agne (in Japanese).Google Scholar

Suzuki, H., (1970), “Effect of Zero-Point Motion on Peierls Stress,” in Fundamental Aspects of Dislocation Theory (eds. Simmons, J. A., deWitt, R., and Bullough, R.), pp. 253–272, National Bureau of Standards.Google Scholar