Modelling intergranular and transgranular micro-cracking in polycrystalline materials

摘要: Abstract In this work, a grain boundary formulation for intergranular and transgranular micro-cracking in three-dimensional polycrystalline aggregates is presented. The based on the displacement stress integral equations of solid mechanics it has advantage expressing problem terms variables only. individual grains within morphology are modelled as generally anisotropic linear elastic domains with random spatial orientation. Transgranular assumed to occur along specific cleavage planes, whose orientation space depend upon crystallographic lattice. Both using suitably defined cohesive laws, parameters characterise behaviour two mechanisms. algorithm developed track inter/transgranular history presented discussed. Several numerical tests involving pseudo-3D fully 3D morphologies performed analysed. results show that capable tracking initiation evolution both cracking well their competition, thus providing useful tool study damage micro-mechanics.