Boundary Element Crystal Plasticity Method

A three-dimensional (3D) boundary element method for small strains crystal plasticity isdescribed. The method, developed for polycrystalline aggregates, makes use of a set of boundaryintegral equations for modeling the individual grains, which are represented as anisotropicelasto-plastic domains. Crystal plasticity is modeled using an initial strains boundary integralapproach. The integration of strongly singular volume integrals in the anisotropic elasto-plasticgrain-boundary equations are discussed. Voronoi-tessellation micro-morphologies are discretizedusing nonstructured boundary and volume meshes. A grain-boundary incremental/iterativealgorithm, with rate-dependent °ow and hardening rules, is developed and discussed. The methodhas been assessed through several numerical simulations, which con¯rm robustness and accuracy.