WIAS Preprint No. 1047, (2005)

Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi


  • Kružík, Martin
    ORCID: 0000-0003-1558-5809
  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Roubíček, Tomáš
    ORCID: 0000-0002-0651-5959

2010 Mathematics Subject Classification

  • 35K85 49S05 74C15 74N15


  • Young measures, laminates, cubic-to-orthorhombic martensitic transformation, rate-independent evolution, energetic formulation, space-time discretization




A continuum-mechanical description of the stored energy in shape-memory alloys is presented, with its multi-well character giving rise to a microstructure described, with a certain approximation, by special gradient Young measures. A rate-independent phenomenological dissipation is then considered to model a hysteretic response. Isothermal simulations with CuAlNi single crystal are presented.

Appeared in

  • Meccanica, 40 (2005) pp. 389--418.

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