Computational aspects of conservative difference schemes for shape memory alloys applications

  • Authors:

  • R. V. N. Melnik;L. Wang;P. Matus;I. Rybak

  • Affiliations:

  • University of Southern Denmark, Mads Clausen Institute, Denmark;University of Southern Denmark, Mads Clausen Institute, Denmark;Institute of Mathematics, National Academy of Sciences, Minsk, Belarus;Institute of Mathematics, National Academy of Sciences, Minsk, Belarus

  • Venue:
  • ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
  • Year:
  • 2003

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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.