The studies on shape memory alloys show their much extended application field. Nowadays, many researches are carried out to solve constitutive equations of various models of SMAs. In this research, a macro-scale, phenomenological constitutive model for SMAs is used in conjunction with energy balance equations to study the evolution of temperature and deformation profiles seen in SMA wires under specific thermal and mechanical boundary conditions. In this way, the general fully-coupled thermomechanical formula for resistive heating of an SMA wire-initial detwined martensite leads to strain recovery on heating is used and numerical results are obtained with use of “Meshless” method. Comparisons have been made between the results predicted by proposed EFG method and available reference solutions in the literature, generated either analytically or numerically. A good agreement is obtained between the achieved results and the literature.

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