A three-dimensional boundary element model for the analysis of polycrystalline materials at the microscale

摘要

A three-dimensional multi-domain anisotropic boundary element formulation isudpresented for the analysis of polycrystalline microstructures. The formulation is naturallyudexpressed in terms of intergranular displacements and tractions that play an important role inudpolycrystalline micromechanics, micro-damage and micro-cracking. The artificial morphology isudgenerated by Hardcore Voronoi tessellation, which embodies the main statistical features ofudpolycrystalline microstructures. Each crystal is modeled as an anisotropic elastic region and theudintegrity of the aggregate is restored by enforcing interface continuity and equilibrium betweenudcontiguous grains. The developed technique has been applied to the numerical homogenization ofudSiC and the obtained results agree very well with available data.