Isogeometric analysis of coupled thermo-mechanical phase-field models for shape memory alloys using distributed computing

A variational formulation and numerical implementation of the phase-field models for shape memory alloys using distributed computing are reported in the paper. The numerical implementation is based on the isogeometric analysis framework, constituting the rich NURBS basis functions. The phase field models are developed using the strain based order parameter and the Ginzburg-Landau theory. The fourth order fully coupled thermo-mechanical 2D and 3D models are solved with the isogeometric finite element methodology in the distributed computing environment. The weak scaling performance studies on the 2D model demonstrate current challenges and open a way for future improvements.