SMA numerical modeling versus experimental results: parameter identification and model prediction capabilities

In this work we briefly review a well known shape memory alloy constitutive model (cf. [1,2]) along with some recently developed enhancements (see, e.g., [3]). We then show how to identify the needed parameters from experimental results and in particular from strain-temperature tests. We finally use the obtained material parameters to test the prediction properties of the model, comparing numerical results with some set of experiments (different from those used for identification), and we discuss model capabilities and further required enhancements.

References

[1] A.C. Souza, E.N. Mamiya, N. Zouain, Three-dimensional model for solids undergoing stress-induced phase transformations, European Journal of Mechanics, A/Solids, vol. 17, pp. 789-806, 1998.

[2] F. Auricchio, L. Petrini, A three-dimensional model describing stress-temperature induced solid phase transformations. Part I: solution algorithm and boundary value problems, International Journal for Numerical Methods in Engineering, vol. 61, pp. 807-836, 2004.

[3] F. Auricchio, A. Reali, U. Stefanelli, A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties, preprint IMATI submitted to Computer Methods in Applied Mechanics and Engineering, 2008.