Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications

Melnik, R.V.N., Wang, L., Matus, P. and Rybak, I.

Lecture Notes in Computer Science, Springer, LNCS-2668, Eds. V. Kumar et al, ICCSA-2003, Montreal, 791-800, 2003 

Abstract:

In this paper we describe a new conservative difference scheme and apply it to the description of the dynamics of a shape memory alloy rod. The scheme preserves the conservation of the total energy on the grid. A major emphasis is given to the description of hysteresis effects in almost-elastic, pseudoelastic and quasiplastic regimes. Stress-strain dependencies are analysed and computational experiments are presented for main thermomechanical characteristics of the material, including displacement and temperature fields.

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