Spectral Solvers for Multi-Physics Simulations
Please login to view abstract download link
FFT-based spectral methods have been successfully established in micro-mechanics and significant improvements with respect to their performance and stability have been reported in the last decade. However, materials in real environments are subjected to thermo–chemo–mechanical loads and, hence, studying mechanics alone is often not sufficient. Therefore, the spectral approach needs to be enhanced to describe – in addition to the mechanical boundary value problem – fields describing further phenomena such as fracture propagation, temperature evolution, chemical diffusion, and phase transformation. The fundamentals of such a multi-physics framework [1], which is implemented in the Düsseldorf Advanced Materials Simulation Kit (DAMASK) [2], are presented here. Two areas of application are shown in detail: 1) modeling of ductile and brittle fracture using the phase field method for fracture and 2) chemo-mechanical interaction motivated by hydrogen embrittlement. The results demonstrate how such a coupled multi-physics framework allows to investigate a wide range of questions relevant for the design of advanced engineering materials.
