Statistical Evaluation of Local Stress by Three-Dimensional Polycrystalline Material at Elevated Temperature

The present paper presents the Voronoi tessellation algorithm in the three dimensional geometry together with the mesh subdivision algorithm using first order tetrahedron element (4 nodes) and second order tetrahedron element (10 nodes). The elasticity tensors are assumed to include isotropic material and anisotropic material of FCC or BCC crystal. The employed finite element formulation is based on the updated Lagrange type, and the selective numerical integration scheme is used in the present analysis. The obtained numerical examples includes the effects of employed finite elements on local stress, and also the statistical variation around mean value is investigated for the isotropic material and the anisotropic materials having different anisotropy ratio A in elastic range. The inelastic analysis at elevated temperature is also carried out for the anisotropic materials in order to investigate ability of modeling.