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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Melnik, R.V.N., Wang, L., Matus, P., Rybak, I. (2003). Computational Aspects of Conservative Difference Schemes for Shape Memory Alloys Applications. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_86
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DOI: https://doi.org/10.1007/3-540-44843-8_86
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