Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.
Felix Ernesti
Effektive Rissenergie FFT-basierte Homogenisierungsmethoden Phasenfeld-Bruchmechanik Minkowski-Tensoren Fast-Marching-Methoden Effective crack energy FFT-based computational homogenization Phase-field fracture Minkowski tensors Fast marching methods