...). At the microlevel, materials consist of grains, which are random in size and shape. Ito and Fuller ( 13 ), Zavattieri and Espinosa ( 15 ), and Jalalahmadi and Sadeghi ( 16 ) showed that the Voronoi diagram can be used to simulate the topology of the material microstructure. Their reasoning for using the Voronoi...

.... Rather, the life distribution is an outcome of numerical simulations performed using statistically generated material microstructures. The microstructures are generated using the process of Voronoi tessellation. Also, the DEM model was further extended ( 92 ) by coupling it with a damage mechanics based...

... are a suitable tool to study the physical behavior of the materials affected by the material microstructure. Variations in normal stress in the y -direction ( σ y ) and orthogonal shear stress ( τ x y ) along the depth for four randomly generated domains...