In this paper, we give an existence theorem concerning a thermomechanical model which describes the behavior of shape memory alloys and takes into account the nonisothermal character of the phase transformations, as well as the existence of the intrinsic dissipation.
[1] Chrysochoos, A.: Pseudo-elastic and pseudo-viscoelastic models for shape memory alloys. Rev Roum. Sci. Techn.-Mec. Appl., 42 (in press).
2.
[2] Balandraud, X., Ernst, E., and Soos, E.: Relaxation and creep phenomena in shape memory alloys, Part I: Hysteresis loop and pseudoelastical behavior. ZAMP, 51, 171-203 (2000).
3.
[3] Balandraud, X., Ernst, E., and Soos, E.: Relaxation and creep phenomena in shape memory alloys, Part II: Stress relaxation and strain creep during phase transformation. ZAMP, 51, 419-448 (2000).
4.
[4] Balandraud, X., Ernst, E., and Soos, E.: Monotone strain-stress models for SMAs hysteresis loop and pseudoelastic behavior. Unpublished data (2000).
5.
[5] Timofte, A., and Iimofte, V.: Qualitative results concerning the behavior of shape memory alloys. Revue Roumaine de Mathematiques Pures et Appliquees (to appear).
6.
[6] Timofte, A., and Timofte, V.: Uniqueness theorem for a thermomechanical model of shape memory alloys. Journal of Mathematics and Mechanics of Solids, 6, 447-466 (2001).