Constitutive Modeling and Simulation of Perforation of Targets by Projectiles

Abstract

DOI: 10.2514/1.26011 The effective use of existing finite element codes in the direct simulation of hypervelocity impacts by projectiles is limited by the dependence of the size of localized failure regions on the mesh size and alignment. This gives rise to a nonphysical description of the penetration and perforation processes. A micromechanical constitutive model that couples the anisotropic thermoviscodamage mechanism with the thermohypoelastoviscoplastic deformation is presented here as a remedy to this situation. Explicit and implicit microstructural length-scale measures, which preserve the well-posed nature of the differential equations, are introduced through the use of the viscosity and gradient localization limiters. Simple and robust numerical algorithms for the integration of the constitutive equations are also presented. The proposed unified integration algorithms are extensions of the classical rateindependent return-mapping algorithms to the rate-dependent problems. A simple and direct computational algorithmisalsousedforimplementingthegradient-dependentequations.Thisalgorithmcanbeimplementedinthe existing finite element codes without numerous modifications, compared with the current numerical approaches for integratinggradient-dependent models.Modelcapabilitiesarepreliminarilyillustrated forthedynamiclocalization of inelastic flow in adiabatic shear bands and the perforation of a 12-mm-thick Weldox 460E steel plate by a deformable blunt projectile at various impact speeds.