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Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. (English) Zbl 1106.74048
Summary: 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 for CuAlNi single crystal are presented.

MSC:
74N05 Crystals in solids
74G65 Energy minimization in equilibrium problems in solid mechanics
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