Auricchio, F.; Lubliner, J. A uniaxial model for shape-memory alloys. (English) Zbl 0942.74606 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. Cited in 11 Documents MSC: 74N99 Phase transformations in solids 74C99 Plastic materials, materials of stress-rate and internal-variable type PDF BibTeX XML Cite \textit{F. Auricchio} and \textit{J. Lubliner}, Int. J. Solids Struct. 34, No. 27, 3601--3618 (1997; Zbl 0942.74606) Full Text: DOI OpenURL