A variational fast Fourier transform method for phase-transforming materials

A fast Fourier transform (FFT) based method is developed to model the pseudo-elastic behavior and shape-memory effect in phase transforming materials. An infinitesimal strain based variational FFT formulation is adapted and enhanced to enable the solution of nonlinear, stress-controlled and thermo-mechanical problems. The capabilities of the method are illustrated by implementing a computational homogenization approach to modeling the...