Implementation of Johnson-Holmquist-Beissel model in four-dimensional lattice spring model and its application in projectile penetration

Abstract

• The 4D-LSM is further developed by implementing JHB constitutive model. • The JHB-4D-LSM was verified by modelling Brazilian tests and dynamic spalling tests. • JHB-4D-LSM is applied to study penetration in both thin plate targets and thick B 4 C under various impact velocities. • Good agreement among numerical simulation and numerical/ analytic results demonstrates the capability of JHB-4D-LSM. The imbedded linear constitutive model in four-dimensional lattice spring model (4D-LSM) is not sufficient or accurate enough to solve the dynamic problems with high-speed impacts. In order to produce a more realistic prediction of dynamic fracture process in brittle materials, the capability of four-dimensional lattice spring model (4D-LSM) has been further extended by implementing Johnson-Holmquist-Beissel (JHB) model. This is achieved by defining the micromechanical constitutive model parameters of 4D-LSM through the macro-scale strength parameters in JHB model, with an incremental form of 4D-LSM being developed. The incremental JHB-4D-LSM model is verified by modelling dynamic Brazilian tests and dynamic spalling tests, with good agreement between modelling results by JHB-4D-LSM and theoretical/numerical solutions in literature being obtained. For the demonstration of model application, the proposed JHB-4D-LSM model is applied to simulate and analyse the problems of projectile penetration with various initial impact speeds. Reasonable numerical modelling results indicate that, the proposed JHB-4D-LSM model can be served a promising tool to predict projectile penetration behaviour of brittle materials.