document: Three-dimensional periodic Voronoi grain models and micromechanical FE-simulations of a two-phase steel A three-dimensional model is proposed for modeling of microstructures . The model is based on the finite element method with periodic boundary conditions . The Voronoi algorithm is used to generate the geometrical model , which has a periodic grain structure that follows the original boundaries of the Voronoi cells . As an application , the model is used to model a two-phase ferrite/pearlite steel . It is shown that periodic cells with only five grains generate representative stress-strain curves
doc_bio_tags: O B I I I O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O B I O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: periodic voronoi grain models periodic boundary conditions voronoi algorithm geometrical model
abstractive_keyphrases: two-phase steel three-dimensional model micromechanical fem simulations microstructures modeling ferrite-pearlite steel stress-strain curves voronoi tessellation adaptive mesh generator quadtree/octree-based algorithm kinematic constraints computational time