Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-29T07:59:31.373Z Has data issue: false hasContentIssue false

Forest Hardening and Boundary Conditions in 2-D Simulations of Dislocations Dynamics

Published online by Cambridge University Press:  15 February 2011

D. Gómez-García
Affiliation:
Laboratoire d'Etude des Microstructures, CNRS-ONERA, BP 72, 92322 Chatillon, France
B. Devincre
Affiliation:
Laboratoire d'Etude des Microstructures, CNRS-ONERA, BP 72, 92322 Chatillon, France
L.P. Kubin
Affiliation:
Laboratoire d'Etude des Microstructures, CNRS-ONERA, BP 72, 92322 Chatillon, France
Get access

Extract

Dislocations are the elementary carriers of plastic flow and are ideally at the base of any physical model for plastic deformation. In the last few years, several 3-D simulations of Dislocation Dynamics (DD) have been devoted to the analysis of single crystal plasticity at small strains [1–5]. However, such DD simulations have some limitations which restrict their domain of application: (i) In many materials, there is a lack of accurate input regarding the mechanisms governed by the core properties of dislocations. (ii) The plastic strain amplitude that can be simulated is usually small (e.g. smaller than 1% in f.c.c. crystals). (iii) The boundary conditions of the simulations are generally rather crude and may introduce spurious size effects and various other artefacts. Most of the time, the questions of stress equilibrium and dislocations flux at the external surfaces are not addressed.

Type
Research Article
Copyright
Copyright © Materials Research Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Kubin, L.P., Canova, G., Condat, M., Devincre, B., Pontikis, V., and Brechet, Y.. Solid State Phenomena, 23–24:455, 1992.Google Scholar
[2] Devincre, B. and Kubin, L. P.. Modelling Simul. Mater. Sci. Eng., 2:559570, 1994.Google Scholar
[3] Fivel, M., Verdier, M., and Canova, G.. Mat. Sci. Engng, A234–236:923926, 1997.Google Scholar
[4] Zbib, H. M., Rhee, M., and Hirth, J. P.. Int. J. Mech. Sci., 40:113, 1997.Google Scholar
[5] Schwarz, K.W.. Phys. Rev. Lett., 78:47854788, 1997.Google Scholar
[6] Wang, H.Y. and Lesar, R.. Phil. Mag. A, 71:149, 1995.Google Scholar
[7] Lepinoux, J. and Kubin, L. P.. Scripta met., 21:833, 1987.Google Scholar
[8] Ghomiem, N. M. and Amodeo, R. J.. Phys. Rev. B, 41:6958, 1989.Google Scholar
[9] Devincre, B., Veyssière, P., and Saala, G.. Phil. Mag. A, 79:16091627,1999.Google Scholar
[10] Devincre, B., Veyssièe, P., Kubin, L. P., and Saada, G.. Phil. Mag. A, 75:1263, 1997.Google Scholar
[11] Hirth, J.P. and Lothe, J.. Theory of dislocations. Macraw-Hill: New York, 1982.Google Scholar
[12] Gulluoglu, A.N., Srolovitz, D.J., Sar, R. Le, and Lomdahl, P.S.. Scripta met., 23:1347, 1989.Google Scholar
[13] Bulatov, V., Abraham, F.F., Kubin, B., Devincre, L.P., and Yip, S.. Nature, 391:669672, 1998.Google Scholar
[14] El-Azab, A.. Modelling Simul. Mater. Sci. Eng., 1999, in press.Google Scholar
[15] Lemarchand, C., Devincre, B., Kubin, L. P., and Chaboche, J. L.. In MRS Symp. Proc., 538:6368, 1999.Google Scholar