Abstract
A three-dimensional rate-independent thermomechanical constitutive model for fully dense shape memory alloys (SMAs) is developed in this Part I of a two-paper series. The model accounts for simultaneous development of transformation and plastic strains during stress-induced martensitic phase transformation, as well as for the evolution of shape and size of the hysteresis with repeated transformation cycling. A detailed procedure for the estimation of the material parameters is presented and a parametric study is also performed. The model is numerically implemented using return mapping algorithms. Using experimental data for SMA strips and large diameter wires, the material parameters for the model are estimated and the modeling results are with experiments. The model developed in Part I will be used in Part II [P.B. Entchev, D.C. Lagoudas, Mech. Mater., this issue] in a micromechanical averaging scheme to model the behavior of porous SMAs undergoing mechanical cyclic loading.
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