Development of Johnson–Holmquist–Beissel Model in Discontinuous Deformation Analysis and Its Application in Projectile Penetration

Mohr–Coulomb criteria, which have been employed in discontinuous deformation analysis (DDA), are insufficient for studying the dynamic responses of brittle materials. To better replicate the failure process upon projectile penetration, the parameters in Johnson–Holmquist–Beissel (JHB) constitutive model are redefined utilising DDA’s calculation parameters. And JHB model is further implemented and validated in a self-developed DDA program. The result of the bonding unit test, which is used to validate the constitutive model’s functionality in the programme, is highly congruent with those of the references. To demonstrate the model’s applicability, the proposed JHB-DDA model is utilised to simulate and analyse projectile penetration under various scenarios. Typical factors such as residual velocities after different initial velocity penetrations, damage effects for different projectile nose coefficients (calibre-radius-head, CRH), and target thickness are investigated. The penetration results are in good agreement with the theoretical/numerical solutions in the literature. The developed JHB-DDA model has considerable advantages over LS-DYNA in terms of explicit representation of material damage. Reasonable numerical results demonstrate that the developed JHB-DDA model can be utilised as an effective tool for predicting projectile penetration.