Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces

Abstract A variety of materials, such as polycrystalline ceramics or carbon fiber reinforced polymers, show a pronounced anisotropy in their local crack resistance. We introduce an FFT-based method to compute the effective energy heterogeneous, locally anisotropic materials. Recent theoretical works ensure existence representative volume elements for fracture mechanics described by Francfort–Marigo model. Based on these formulae, algorithms computing random heterogeneous media were proposed, and subsequently improved terms discretization solution methods. In this work, we propose maximum-flow solver materials with material parameters. apply intergranular weak plane structures transversely isotropic