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This paper introduces a novel three-dimensional constitutive model that describes the thermomechanical behavior of shape memory alloys (SMAs). The model is developed within the framework of continuum mechanics and the standard generalized materials. Four macrocospic phases are considered associated with austenite and three variants of martensite, and each one of them can be induced either by volumetric or by deviatoric strains. The description of plasticity is also of concern in thisdoi:10.1007/s40430-015-0476-4 fatcat:zuf7dfkwyffx7etzhzfgrety4e