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On the origin of Lüders-like deformation of NiTi shape memory alloys. (English) Zbl 1120.74402

Summary: Polycrystalline NiTi shape memory alloys deformed in tension tend to exhibit localization and propagation of deformation in macroscopic shear bands. The propagation of the deformation bands is characterized by a plateau-type stress-strain curve. Such behavior has been reported only for NiTi alloys and only in tension. The reason for this behavior is still unclear although different hypotheses have been proposed in the literature. This article briefly summarizes relevant experimental evidences and offers an explanation based on micromechanics modelling of pseudoelasticity of polycrystalline NiTi.

MSC:

74E15 Crystalline structure
74M25 Micromechanics of solids
Full Text: DOI

References:

[1] Brinson, L.C., Schmidt, I., Lamerring, R., 2002. J. Int. Mat. Syst. Struct. L. C. Brinson, I. Schmidt, R. Lammering, Micro and macromechanical investigations of CuAlNi single crystal and CuAlMnZn polycrystalline shape memory alloys. J. Int. Mater. Syst. Struct. 13(12), pp. 761-772.; Brinson, L.C., Schmidt, I., Lamerring, R., 2002. J. Int. Mat. Syst. Struct. L. C. Brinson, I. Schmidt, R. Lammering, Micro and macromechanical investigations of CuAlNi single crystal and CuAlMnZn polycrystalline shape memory alloys. J. Int. Mater. Syst. Struct. 13(12), pp. 761-772.
[2] Brinson, L. C.; Schmidt, I.; Lamerring, R., Stress-induced transformation behavior of a polycrystalline shape memory alloy: micro and macromechanical investigation via in-situ optical microscopy, 2004, J. Mech. Phys. Sol., 52, 1549-1571 (2004) · Zbl 1159.74300
[3] Considere, M., Die Anwendung von Eisen und Stahl bei Konstruktionen (1888), Gerold-Verlag: Gerold-Verlag Wien
[4] Favier, D., Liu, Y., Orgeas, L., Rio, G., 2001. Mechanical instability of NiTi in tension, compression and shear. Solid Mechanics and its Applications, vol. 101. Proceedings of IUTAM Symposium. Kluwer Academic Publishers, Dordrecht, pp. 205-212.; Favier, D., Liu, Y., Orgeas, L., Rio, G., 2001. Mechanical instability of NiTi in tension, compression and shear. Solid Mechanics and its Applications, vol. 101. Proceedings of IUTAM Symposium. Kluwer Academic Publishers, Dordrecht, pp. 205-212.
[5] Gall, K.; Lim, T. J.; McDovell, D. L.; Sehitoglu, H., The role of intergranular constraint on the stress-induced martensitic transformation in textured polycrystalline NiTi, Int. J. Plast., 16, 1189-1214 (2000) · Zbl 0955.74503
[6] Hoc, T.; Rey, C.; Viaris de Lesengo, P., Mesostructure of the localization in the prestrained mild steel, Scripta Mater., 42, 749-754 (2000)
[7] Horikawa, H.; Ichinose, S.; Morii, K.; Miyazaki, S.; Otsuka, K., Orientation dependence of stress induced \(β_1\)→\(β\)′\(_1\) martensitic transformations in a CuAlNi alloy, Metall. Trans., 19A, 915-923 (1988)
[8] Huang, X.; Liu, Y., Effect of Annealing on the transformation behavior and superelasticity of NiTi shape memory alloy, Scripta Mater., 45, 153-160 (2001)
[9] Iadicola, M. A.; Shaw, J., Rate and thermal sensitivities of unstable transformation behavior in a shape memory alloy, Int. J. Plast., 20, 577-605 (2004) · Zbl 1134.74345
[10] Idesman, A. V.; Levitas, V. I.; Preston, D. L.; Cho, J. Y., Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model, J. Mech. Phys. Sol., 53, 459-523 (2005) · Zbl 1122.74475
[11] Inoue, H.; Miwa, N.; Inakazu, N., Texture and shape memory strains in NiTi alloy sheets, Acta Mater., 44, 4825-4834 (1996)
[12] Liu, Y., On the nucleation and propagation of stress-induced martensitic transformation in NiTi, Mater. Sci. Eng. A, 271, 506-508 (1999)
[13] Liu, Y.; Galvin, S. P., Criteria for pseudoelasticity in near-equiatomic NiTi shape memory alloys, Acta Mater., 45, 4431-4439 (1997)
[14] Liu, Y.; Xiang, H., Apparent modulus of elasticity of near-equiatomic NiTi, J. Alloys Compd., 270, 154-159 (1998)
[15] Liu, Y.; Liu, Y.; Humbeeck, J. V., Lüders-like deformation associated with martensite reorientation in NiTi, Scripta Mater., 38, 1047-1055 (1998)
[16] Liu, Y.; Houver, I.; Xiang, H.; Bataillard, L.; Miyazaki, S., Strain-dependence of pseudoelastic hysteresis of NiTi, Metall. Mater. Trans. A, 30A, 1275-1282 (1999)
[17] Liu, Y.; Xie, Z.; Humbeeck, J. V.; Delaey, L., Effect of texture orientation on the martensite deformation of NiTi shape memory alloy, Acta Mater., 47, 645-660 (1999)
[18] Liu, Y.; Xie, Z.; Humbeeck, J. V.; Delaey, L., On the deformation of twinned domain in NiTi shape memory alloys, Phil. Mag. A, 80, 1935-1953 (2000)
[19] McCormick, P. G.; Liu, Y.; Miyazaki, S., Thermal-mechanical behaviour associated with the stress-induced martensitic transformation in NiTi, Mater. Sci. Eng. A, 167, 51-56 (1993)
[20] Messner, C.; Reisner, G.; Sun, Q. P.; Werner, E., On instabilities and autocatalytic effects associated with the nucleation of martensite bands in polycrystalline SMA flat tensile specimens, Comput. Mater. Sci., 19, 313-319 (2000)
[21] Neov, D.; Lukáš, P.; Cernik, M.; Šittner, P., Stress induced transformations and textures in pseudoelastic CuAlZnMn shape memory alloy deformed in tension, Appl. Phys. A, 74, 1095-1097 (2002)
[22] Nishida, M.; Ii, S.; Kitamura, K.; Furukawa, T.; Chiba, A.; Hara, T.; Hiraga, K., New deformation twinning mode of B19′ martensite in TiNi shape memory alloy, Scripta Mater., 39, 1749-1754 (1998)
[23] Novák, V.; Šittner, P., A network micromechanics model of thermomechanical behaviors of SMA polycrystals, Scripta Mater., 50, 199-206 (2004)
[24] Novák, V.; Šittner, P., Micromechanics modelling of NiTi polycrystalline aggregates transforming under tension and compression stress, Mater. Sci. Eng. A., 378/1-2, 490-498 (2004)
[25] Novák, V., Šittner, P., 2005. Micromechanical model simulation of thermomechanical behaviours of NiTi polycrystals undergoing B2-R-B19′ transformation, SMST 2004, Proceedings. Baden Baden, Germany, to be published.; Novák, V., Šittner, P., 2005. Micromechanical model simulation of thermomechanical behaviours of NiTi polycrystals undergoing B2-R-B19′ transformation, SMST 2004, Proceedings. Baden Baden, Germany, to be published.
[26] Sehitoglu, H., Jun, J., Zhang, X., Karaman, I., Chumlykov, Yu, Maier, H.J., Gall, K., 2001. Shape memory and pseudoelastic behavior of 51.5
[27] Shaw, J. A., Thermomechanical simulations of localized thermo-mechanical behavior in a NiTi shape memory alloy, Int. J. Plast., 16, 541-562 (2000) · Zbl 1043.74525
[28] Shaw, J. A., A thermomechanical model for a 1-D shape memory alloy wire with propagating instabilities, Int. J. Sol. Struct., 39, 1275-1305 (2002) · Zbl 1035.74044
[29] Shaw, J. A.; Kyriakides, S., Initiation and propagation of localized deformation in elasto-plastic strips under uniaxial tension, Int. J. Plast., 13, 837-871 (1998)
[30] Šittner, P.; Novák, V., Thermomechanical simulations of localized thermo mechanical behaviors in a NiTi shape memory alloy, Int. J. Plast., 16, 1243-1268 (2000) · Zbl 1002.74077
[31] Šittner, P.; Novák, V., Experiment feedback in micromechanics modelling of SMA polycrystals, Scripta Mater., 51/4, 321-326 (2004)
[32] Šittner, P.; Novák, V.; Zárubová, N., Martensitic transformations in [001] CuAlZnMn single crystal, Acta Mater., 46, 1265-1281 (1998)
[33] Šittner, P.; Lukáš, P.; Daymond, M. R.; Novák, V.; Swallowe, G. M., Stress induced martensitic transformation in CuAlZnMn polycrystals investigated by in situ neutron diffraction, J. Phys. IV France, 11, 159-166 (2001)
[34] Šittner, P., Novák, V., LukáŠ, P., 2002. Solid mechanics and its applications, vol. 101. Proceedings of IUTAM Symposium on Mechanics of Martensitic Phase Transformations. In: Solids, Q.P. Sun (Eds.), Hong Kong, 11-14 May 2001, Kluwer Academic Publishers, Dordrecht, pp. 179-189.; Šittner, P., Novák, V., LukáŠ, P., 2002. Solid mechanics and its applications, vol. 101. Proceedings of IUTAM Symposium on Mechanics of Martensitic Phase Transformations. In: Solids, Q.P. Sun (Eds.), Hong Kong, 11-14 May 2001, Kluwer Academic Publishers, Dordrecht, pp. 179-189.
[35] Šittner, P.; Lukáš, P.; Novák, V.; Daymond, M. R.; Swallowe, G. M., In-situ neutron diffraction studies of martensitic transformations in NiTi polycrystals under tension and compression stress, Mater. Sci. Eng. A, 378/1-2, 97-104 (2004)
[36] Šittner, P., Lukas, P., Lugovoy, D., Novák, V., 2004b. R-phase transformation phenomena in thermomechanically loaded NiTi polycrystals, Mech. Mater., in press.; Šittner, P., Lukas, P., Lugovoy, D., Novák, V., 2004b. R-phase transformation phenomena in thermomechanically loaded NiTi polycrystals, Mech. Mater., in press.
[37] Šittner, P.; Neov, D.; Lukáš, P.; Toebbens, D. M., Neutron diffraction studies of the stress effect on texture transformations in NiTi shape memory alloys, J. Neutron Res., 12, 15-120 (2004)
[38] Šittner, P.; Lugovyy, D.; Neov, D.; Landa, M.; Lukás˘, P.; Novák, V., On the R-phase transformation related phenomena in NiTi polycrystals subjected to thermomechanical loads, J Phys. IV France, 115, 269-278 (2004)
[39] Stuwe, H. P.; Toth, L. S., Plastic instability and Luders bands in tensile tests: the role of crystal orientations, Mater. Sci. Eng. A, 358, 17-25 (2003)
[40] Sun, Q. P.; Li, Y. Q., Phase transformation in superelastic NiTi polycrystalline micro-tubes under tension and torsion—from localization to homogeneous deformation, Int. J. Sol. Struct., 39, 3797-3809 (2002)
[41] Sun, Q. P.; Zhong, Z., An inclusion theory for the propagation of martensite bands in NiTi shape memory alloy wires under tension, Int. J. Plast., 16, 1169-1187 (2000) · Zbl 1064.74638
[42] Tan, G. S.; Suseno, T.; Liu, Y., Mechanical hysteresis of pseudoelasticity of Ti-50.2at
[43] Tan, G. S.; Liu, Y.; Sittner, P.; Sounders, M., Lüders-like deformation associated with stress-induced martensitic transformation in NiTi, Scripta Mater., 50, 193-198 (2004)
[44] Tokuda, M., Hashimoto, K., Inaba, T., Bundara, B., Sittner, P., 2003. Experimental research on deformation of TiNi SMA under multiaxial loading conditions. In: Khan A.S. (Ed.), Proceedings of Plasticity 03, 10th International Symposium on Plasticity and its Current Applications. Neat Press, Maryland, USA, 244pp.; Tokuda, M., Hashimoto, K., Inaba, T., Bundara, B., Sittner, P., 2003. Experimental research on deformation of TiNi SMA under multiaxial loading conditions. In: Khan A.S. (Ed.), Proceedings of Plasticity 03, 10th International Symposium on Plasticity and its Current Applications. Neat Press, Maryland, USA, 244pp.
[45] Yawny, A.; Lovey, F.; Torra, V., Entropy production in single crystal, single interface martensite transformation, Scripta Metal., 32, 439-444 (1995)
[46] Yuan, W. Q.; Yi, S., Pseudoelastic strain estimation of textured TiNi alloys, Mater. Sci. Eng. A, 271, 439-448 (1999)
[47] Zheng, Q. S.; Liu, Y., Prediction of the detwinning anisotropy in textured NiTi shape memory alloy, Phil. Mag. A,, 82, 665-683 (2002)
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