Peridynamic modeling of shocks and high-velocity impact with the Johnson-Holmquist-Beissel ceramic model

Abstract

This work presents a meshless, non-ordinary state-based peridynamic approach to the modeling of ceramic materials under high-speed impact loadings. A strain rate-dependent brittle material model, the Johnson-Holmquist-Beissel (JHB) model, is implemented as a peridynamic correspondence model. The approach is validated with previously performed plate impact tests using VISAR data. Simulations of spall and multiple shock wave interactions are presented for plate impact tests. Computational results for the penetration of a bi-layered target by a high-velocity projectile demonstrate the capability of the peridynamic implementation to reproduce material failure. Qualitative and quantitative results show that the current peridynamic approach captures the high strain rate shock response and brittle fracture of ceramic materials. The meshless peridynamic implementation avoids the need for element deletion while allowing large deformation and highly nonlinear material response. An extension of the original JHB model to improve the representation of post-failure material is proposed.