14 June 2000 Shape memory alloys: thermomechanical modeling and finite element simulations at finite strains
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Abstract
In this paper a thermomechanical material model for shape memory alloys is proposed. The model can depict the shape memory effect, the pseudo elasticity and pseudo plasticity as well as the transition region between pseudo elasticity and -plasticity. Moreover, the geometric non linearities are considered in the constitutive equations. For all thermomechanical processes, the CLAUSIUS-DUHEM inequality is fulfilled. Besides the phenomenological modeling, the finite element implementation of the constitutive equations at finite strains is developed. For simplification and in order to construct an efficient stress algorithm, only small elastic but finite inelastic strains are considered.
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Dirk Helm, Peter Haupt, "Shape memory alloys: thermomechanical modeling and finite element simulations at finite strains", Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); doi: 10.1117/12.388237; https://doi.org/10.1117/12.388237
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