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A uniaxial model for shape-memory alloys. (English) Zbl 0942.74606

Summary: We present a uniaxial model for shape-memory alloys, cast within the generalized plasticity framework, previously developed. The model is based on two internal variables (the single-variant martensite fraction and the multiple-variant martensite fraction), for which evolution equations in rate are proposed. The model reproduces the shape-memory effect and the superelastic behavior; moreover, for loading-unloading cycles, without completion of the phase transition, it presents a cyclic response with internal loops.

MSC:

74N99 Phase transformations in solids
74C99 Plastic materials, materials of stress-rate and internal-variable type
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