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An extended thermo-mechanically coupled algorithm for simulation of superelasticity and shape memory effect in shape memory alloys

S. HASHEMI,H. AHMADIAN,S. MOHAMMADI

Frontiers of Structural and Civil Engineering 2015, Volume 9, Issue 4, Pages 466-477 doi: 10.1007/s11709-015-0300-3

Abstract: Thermo-mechanical coupling in shape memory alloys is a very complicated phenomenon. The heat generation/absorption during forward/reverse transformation can lead to temperature-dependent variation of its mechanical behavior in the forms of superelasticity and shape memory effect. However, unlike the usual assumption, slow loading rate cannot guarantee an isothermal process. A two-dimensional thermo-mechanically coupled algorithm is proposed based on the original model of Lagoudas to efficiently model both superelasticity and shape memory effects and the influence of various strain rates, aspect ratios and boundary conditions. To implement the coupled model into a finite element code, a numerical staggered algorithm is employed. A number of simulations are performed to verify the proposed approach with available experimental and numerical data and to assess its efficiency in solving complex SMA problems.

Keywords： shape memory alloy thermo-mechanical coupling superplasticity shape memory effect