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A theoretical model for functionally graded shape memory alloy cylinders subjected to internal pressure

Published online by Cambridge University Press:  13 December 2016

Bingfei Liu ,
Shilong Hu ,
Wei Zhang ,
Rui Zhou ,
Yanan Zhang  and
Yuping Zhu
Bingfei Liu
Affiliation:
Airport College, Civil Aviation University of China, Tianjin 300300, China
Shilong Hu
Affiliation:
Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin 300300, China
Wei Zhang*
Affiliation:
College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China; and Sino-European Institute of Aviation Engineering, Civil Aviation University of China, Tianjin 300300, China
Rui Zhou
Affiliation:
College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China
Yanan Zhang
Affiliation:
Airport College, Civil Aviation University of China, Tianjin 300300, China
Yuping Zhu
Affiliation:
Key Laboratory of Seismic Observation and Geophysical Imaging, Institute of Geophysics, China Earthquake Administration, Beijing 100081, China
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

A theoretical model for the Functionally Graded Shape Memory Alloy (FG-SMA) cylinders subjected to internal pressure is investigated. The gradient properties in this work are embodied in the Young’s modulus and Poisson’s ratio gradient through the thickness of the cylinder. The critical transformation stresses and maximum formation strain are all assumed to be constant. Combining the elasticity and exponential function of the Young’s modulus and Poisson’s ratio with the different gradient parameters, the elastic stress distributions and displacement distributions for the FG-SMA cylinder under the internal pressure are obtained, respectively. To get the theoretical solution, the Tresca yield function and the ideal elastic–plastic constitutive model are selected for the shape memory alloy to illustrate the phase transformation. The relationships between the internal pressure and total strain at the internal radius with different gradient parameters are then given, and the results show that the total strains are greatly influenced by the different parameters.

Keywords

functionally graded materialshape memory alloycylinder
Type
Articles
Information
Journal of Materials Research , Volume 32 , Issue 7 , 14 April 2017 , pp. 1397 - 1406
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Copyright
Copyright © Materials Research Society 2016 

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Footnotes

Contributing Editor: Susan B. Sinnott

References

REFERENCES

Koizumi, M.: The concept of FGM. Ceram. Trans. 39, 3–10 (1993).Google Scholar
Skoczen, B.: Functionally graded structural members obtained via the low temperature strain induced phase transformation. Int. J. Solids Struct. 44, 5182–5207 (2007).Google Scholar
Sittner, P., Heller, L., Pilch, J., Curfs, C., Alonso, T., and Favier, D.: Young’s modulus of austenite and martensite phases in superelastic NiTi wires. J. Mater. Eng. Perform. 23(7), 2303–2314 (2014).CrossRefGoogle Scholar
Rehman, S.U., Khan, M., Khan, A.N., Ali, L., and Jaffery, S.H.I.: Two-step martensitic transformation in an aged Ti50Ni15Pd25Cu10 high temperature shape memory alloys. Acta Phys. Pol., A 128(2B), B125–B127 (2015).CrossRefGoogle Scholar
Wang, X-B., Humbeeck, J.V., Verlinden, B., and Kustov, S.: Thermal cycling induced room temperature aging effect in Ni-rich NiTi shape memory alloy. Scr. Mater. 113, 206–208 (2016).Google Scholar
Haberland, C., Elahinia, M., Walker, J.M., Meier, H., and Frenzel, J.: On the development of high quality NiTi shape memory and pseudoelastic parts by additive manufacturing. Smart Mater. Struct. 23(10), 64–75 (2014).Google Scholar
Lu, H-B., Lu, C-R., Huang, W-M., and Leng, J-S.: Chemo-responsive shape memory effect in shape memory polyurethane triggered by inductive release of mechanical energy storage undergoing copper(II) chloride migration. Smart Mater. Struct. 24(3), 035018 (2015).Google Scholar
Lu, H-B., Leng, J-S., and Du, S-Y.: A phenomenological approach for the chemo-responsive shape memory effect in amorphous polymers. Soft Matter 9(14), 3851–3858 (2013).Google Scholar
Samadpour, M., Sadighi, M., Shakeri, M., and Zamani, H.A.: Vibration analysis of thermally buckled SMA hybrid composite sandwich plate. Compos. Struct. 119, 251–263 (2015).Google Scholar
Asadi, H., Kiani, Y., Shakeri, M., and Eslami, M.R.: Exact solution for nonlinear thermal stability of hybrid laminated composite Timoshenko beams reinforced with SMA fibers. Compos. Struct. 108, 811–822 (2014).Google Scholar
Lagoudas, D.C.: Shape Memory Alloys: Modeling and Engineering Applications (Springer, New York, 2008).Google Scholar
Zhong, Z.W. and Yeong, C.K.: Development of a gripper using SMA wire. Sens. Actuators, A 126(2), 375–381 (2006).Google Scholar
Guo, S., Oohira, J., and Fukuda, T.: A novel type of micropump using SMA actuator for microflow application. Presented at the IEEE Int. Conference Robot. Autom. Vol. 987–992, 2003.Google Scholar
Qiu, J-H., Bian, Y-X., Ji, H-L., and Zhu, K-J.: The application of intelligent material structure in the aviation field. Aviat Manuf. Tech. 3, 26–29 (2009). (in Chinese).Google Scholar
Lester, B.T., Chenisky, Y., and Lagoudas, D.C.: Transformation characteristics of shape memory alloy composites. Smart Mater. Struct. 20, 094002 (2011).CrossRefGoogle Scholar
Fu, Y-Q., Du, H-J., and Zhang, S.: Functionally graded TiN/TiNi shape memory alloy films. Mater. Lett. 57, 2995–2999 (2003).Google Scholar
Belyaev, S., Rubanik, V., Resnina, N., Rinamol, V. Jr, Rubanik, O., and Borisov, V.: Martensitic transformation and physical properties of ‘steel-TiNi’ bimetal composite, produced by explosion welding. Phase Transitions 83(4), 276–283 (2010).CrossRefGoogle Scholar
Tian, H., Schryvers, D., Mohanchandra, K.P., Carman, G.P., and Humbeeck, J.V.: Fabrication and characterization of functionally graded Ni–Ti multilayer thin films. Funct. Mater. Lett. 2(2), 61–66 (2009).Google Scholar
Zheng, B., Xu, J., and Qi, M.: Preparation of graded DLC film on TiNi SMA by plasma enhanced deposition and behavior of corrosion-resistance. J. Funct. Mater. 38(1), 115–118 (2007).Google Scholar
Liu, B.F., Dui, G.S., and Yang, S.Y.: On the transformation behavior of functionally graded SMA composites subjected to thermal loading. Eur. J. Mech. A-Solid. 40, 139–147 (2013).Google Scholar
Pequegnat, A., Michael, A., Wang, J., Lian, K., Zhou, Y., and Khan, M.I.: Surface characterizations of laser modified biomedical grade NiTi shape memory alloys. Mater. Sci. Eng., C 50(3), 367–378 (2015).Google Scholar
Belyaev, S., Rubanik, V., Resnina, N., Rinamol, V. Jr, and Lomakin, I.: Functional properties of ‘Ti50Ni50–Ti49.3Ni50.7’ shape memory composite produced by explosion welding. Smart Mater. Struct. 23, 085029 (2014).Google Scholar
Lim, J.H., Kim, M.S., Noh, J.P., Kim, Y.W., and Nam, T.H.: Compositionally graded Ti–Ni alloys prepared by diffusion bonding. J. Nanosci. Nanotechnol. 14(12), 9042–9046 (2014).CrossRefGoogle ScholarPubMed
Martins, R.M.S., Schell, N., Reuther, H., Pereira, L., Mahesh, K.K., Silva, R.J.C., and Fernandes, F.M.B.: Texture development, microstructure and phase transformation characteristics of sputtered Ni–Ti shape memory alloy films grown on TiNi〈111〉. Thin Solid Films 519(1), 122–128 (2010).Google Scholar
Yan, Z., Cui, L-S., and Zheng, Y-J.: Microstructure and martensitic transformation behaviors of explosively welded NiTi/NiTi laminates. Chin. J. Aeronaut. 20, 168–171 (2007).Google Scholar
Zhang, Y-P., Zhang, X-P., and Zhong, Z-Y.: Fabrication, transformation and superelasticity behavior of NiTi memory alloy with large pore-size and gradient porosity. Acta Metall. Sin. 43(11), 1221–1227 (2007).Google Scholar
Shariat, B.S., Liu, Y-N., and Rio, G.: Modelling and experimental investigation of geometrically graded NiTi shape memory alloys. Smart Mater. Struct. 22, 025030 (2013).Google Scholar
Shariat, B.S., Liu, Y-N., and Rio, G.: Thermomechanical modelling of microstructurally graded shape memory alloys. J. Alloys Compd. 541, 407–414 (2012).Google Scholar
Meng, Q-L., Liu, Y-N., Yang, H., Shariat, B.S., and Nam, T.H.: Functionally graded NiTi strips prepared by laser surface anneal. Acta Mater. 60(4), 1658–1668 (2012).Google Scholar
Shariat, B.S., Liu, Y-N., Meng, Q-L., and Rio, G.: Analytical modelling of functionally graded NiTi shape memory alloy plates under tensile loading and recovery of deformation upon heating. Acta Mater. 61(9), 3411–3421 (2013).Google Scholar
Razali, M.F. and Mahmud, A.S.: Gradient deformation behavior of NiTi alloy by ageing treatment. J. Alloys Compd. 618, 182–186 (2015).CrossRefGoogle Scholar
Hartl, D. and Lagoudas, D.C.: Aerospace applications of shape memory alloys. J. Aerospace Eng. 221(4), 535–552 (2007).Google Scholar
Qidwai, M.A., Entchrv, P.B., Lagoudas, D.C., and DeGiorgi, V.G.: Modeling of the thermomechanical behavior of porous shape memory alloys. Int. J. Solids Struct. 38, 8653–8671 (2001).CrossRefGoogle Scholar
Mahmud, A.S., Liu, Y-N., and Nam, T.H.: Gradient anneal of functionally graded NiTi. Smart Mater. Struct. 17, 015031 (2008).Google Scholar
Birman, V.: Stability of functionally graded shape memory alloy sandwich panels. Smart Mater. Struct. 6, 278–286 (1997).CrossRefGoogle Scholar
Han, J-C., Xu, L., Wang, B-L., and Zhang, X-H.: The research progress and prospects of functionally gradient materials. J. Solid Rocket Technol. 27(3), 207–215 (2004). (in Chinese).Google Scholar
Asadi, H., Akbarzadeh, A.H., Chen, Z-T., and Aghdam, M.M.: Enhanced thermal stability of functionally graded sandwich cylindrical shells by shape memory alloys. Smart Mater. Struct. 24(4), 045022 (2015).Google Scholar
Bagherizadeh, E., Kiani, Y., and Eslami, M.R.: Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation. Compos. Struct. 93(11), 3063–3071 (2011).Google Scholar
Mirzaeifar, R., Shakeri, M., Desroches, R., and Yavari, A.: A semi-analytic analysis of shape memory alloy thick-walled cylinders under internal pressure. Arch. Appl. Mech. 81(8), 1093–1116 (2011).Google Scholar
Miller, D.J., Fahnestock, L.A., and Eatherton, M.R.: Development and experimental validation of a nickel–titanium shape memory alloy self-centering buckling-restrained brace. Eng. Struct. 40, 288–298 (2012).Google Scholar
Leng, J., Yan, X., Zhang, X., Huang, D., and Gao, Z.: Design of a novel flexible shape memory alloy actuator with multilayer tubular structure for easy integration into a confined space. Smart Mater. Struct. 25(2), 025007 (2016).Google Scholar
Hildebrand, F.B.: Introduction to Numerical Analysis (McGraw-Hill, New York, America, 1974).Google Scholar
Liu, B-F., Dui, G-S., and Zhu, Y-P.: On phase transformation behavior of porous shape memory alloys. J. Mech. Behav. Biomed. Mater. 5(1), 9–15 (2012).Google Scholar