The diffusion and the use of shape memory alloys (SMAs) in many different engineering applications is resulting in an always increasing research effort toward a reliable and complete modeling of their macroscopic behavior.
Starting from some robust phenomenological models proposed in the recent past and capable of describing main SMA macroscopic effects [1,2], we present here a more flexible model, able to include many other well-known SMA effects, such as tension-compression asymmetric behaviors (e.g. asymmetric yield stress level, loop width and length) and elastic properties depending on the reached transformation strain level.
Several numerical experiments are performed in order to prove the capabilities of the model.
We finally show how this model can be modified in order to obtain a good tool for describing a new, very promising, class of shape memory materials: the ferromagnetic SMAs.

References:
1. F. Auricchio, L. Petrini, "A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems", International Journal for Numerical Methods in Engineering, 61: 807-836 (2004).
2. F. Auricchio, A. Reali, U. Stefanelli, "A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity", International Journal of Plasticity, 23: 207-226 (2007).

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1. Modeling and Finite element simulation