Numerical Implementation of an SMA Thermomechanical Constitutive Model Using return Mapping Algorithms

In the previous chapter we described the derivation of a 3-D SMA thermomechanical constitutive model. We now address the numerical implementation of this model and the development of numerical tools to support the process of designing SMA devices for use in load bearing 3-D structures. In this chapter, the numerical implementation of SMA thermomechanical constitutive response is presented using return mapping algorithms appropriate for rate-independent inelastic constitutive models. The closest point projection return mapping algorithm and the convex cutting plane return mapping algorithm are discussed, and finite element analysis examples are provided.

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