Nonlinear Coupled Thermomechanical Waves: Modelling Shear Type Phase Transformations in Shape Memory Alloys

Wang, L. and Melnik, R.V.N.

Mathematical and Numerical Aspects of Wave Propagation, Eds. G.C. Gohen, E. Heikkola, P. Joly, and P. Neittaanmaki, Proceedings of the 6th Int. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Finland, Springer-Verlag, 723--728, 2003

Abstract:

Starting from a two-dimensional model approximating the dynamics of cubic-to-tetragonal and tetragonal-to-orthorhombic phase phase transformations in shape memory materials, it is shown that the Falk model in the one dimensional case is a special case of the formulated model. Computational experiments based on a conservative difference scheme are carried out to analyze thermomechanical wave interactions in a rod with shape memory effect.

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