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

Auricchio, F.; Lubliner, J.

Int. J. Solids Struct. 34, No. 27, 3601-3618 (1997).

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