Shock wave induced spall fracture is a complex multiscale phenomenon, and it is a challenge to build a constitutive and computational model that can capture the essential features of the spall fracture. In this work, we present a computational micro-mechanics model to simulate spall fracture by using part of the multiscale micro-mechanics theory proposed the Wright and Ramesh (Wright and Ramesh...

A meshfree method based on the discrete gas-kinetic scheme (DGKS) (called meshfree-DGKS) for simulation of incompressible/compressible flows is proposed in this work. In approach, governing equations are discretized using least squares-based finite difference approach. To simulate compressible problems with discontinuities, virtual mid-points between adjacent nodes, which regarded as Riemann es...

In this paper, conforming finite elements on polygon meshes are developed. Polygonal finite elements provide greater flexibility in mesh generation and are better-suited for applications in solid mechanics which involve a significant change in the topology of the material domain. In this study, recent advances in meshfree approximations, computational geometry, and computer graphics are used to...