A macroscale, phase-field model for shape memory alloys with non-isothermal effects

A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along a fixed direction; a Ginzburg-Landau approach to the martensitic phase transition is applied by setting in a thermodynamical consistent framework a scalar order parameter, coupled with the balance of linear momentum equation and the heat equation. The model has been implemented within a finite-element framework and a number of numerical tests are presented which investigate the mechanical behaviour of the model under different conditions; the results obtained are analysed in relation to experimental evidences available in literature