This paper presents a summary of a series of our macroscopic and microscopic constitutive models for pseudoelasticity and shape memory effect of a shape memory alloy wire or strip based on a general function of the dissipation potential, called phase interaction energy function. Our model may well predict in a unified way complex stress–strain relationships among austenitic, martensitic and rhombohedral phases, including inner hysteresis loops appearing in a bounding loop, effect of loading cycles accompanying rapid change in temperature of the alloy due to dynamic loadings, etc. Some comment on existing constitutive models is given for comparison. A future research direction of shape memory alloys will briefly be addressed.
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