Computational micromechanics of porous brittle solids

Porous brittle solids evidence complex mechanical behavior, where localized failure patterns originate from processes on the microstructural level. In order to investigate mechanics of porous solids, we outline a general stochastic and numerical microstructure-based approach. To this end, generate random microstructures by level-cutting Gaussian fields, conduct simulations using material point method. This allows investigating both small large deformation characteristics irregular media segmentation into grains bonds is ambiguous. We demonstrate versatility our approach examining elasticity as function wide range porosities, 20% 80%. Observing that onset can be well described through second work, show stress at follows power law similar elastic modulus. Moreover, propose envelope approximated simple quadratic fitting curve, plastic appears governed an associative flow rule. Finally, reveal transition in mode localization deformation, compaction bands for highly samples shear denser ones.