Numerical simulation of thermomechanical behaviours of shape memory alloys via a non-linear mesh-free Galerkin formulation

AbstractA new computational approach is developed based on the meshfree method for the numerical simulation of shape memory alloys. A thermomechanical constitutive model is used to describe the complex material response. The incremental displacementbased meshfree formulation is constructed in a total Lagrangian description by employing the moving least square shape function and rate form of the shape memory alloy constitutive model in the variational equations. This meshfree formulation is not only applicable to large deformation problems, but also accounts for both stress and thermally induced phase transformation. Moreover, the newly developed meshfree codes can deal with complex loading paths and multiple temperature cycles in numerical simulation. The performance of the proposed meshfree scheme for the simulation of shape memory alloys is demonstrated in several numerical examples. Copyright 2005 John Wiley & Sons, Ltd.

Numerical simulation of thermomechanical behaviours of shape memory alloys via a non-linear mesh-free Galerkin formulation Academic Article