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On the Fremond’s constitutive model for shape memory alloys. (English) Zbl 1098.74519

Summary: The remarkable properties of shape memory alloys have increasing the interest in applications in different areas varying from biomedical to aerospace hardware. Despite the large number of applications, the modeling of SMA is the objective of many researches developed in order to describe all details of its thermomechanical behavior. The present contribution revisits a constitutive model presented by M. A. Savi et al. (2002), which is built up on the classical Fremond’s model, in order to contemplate the horizontal enlargement of the stress-strain hysteresis loop. Numerical simulations present qualitative agreement with experimental data, showing pseudoelastic, one-way and two-way shape memory effects.

MSC:

74A20 Theory of constitutive functions in solid mechanics
74N30 Problems involving hysteresis in solids
74M05 Control, switches and devices (“smart materials”) in solid mechanics
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