An ellipsoidal particle–finite element method for hypervelocity impact simulation

Abstract

A number of coupled particle-element and hybrid particle-element methods have been developed

Impact Mechanics and High-Energy Absorbing Materials: Review

“…These methods, however, are subject to tensile instability and numerical fracture problems. Shivarama and Fahrenthold (2004) suggest a hybrid particle-finite-element method, which avoids tensile stability and numerical fracture problems and eliminates the requirement for special treatment of particle-to-element contact-impact. A modified version of this hybrid particle-finite-element formulation is proposed in Park and Fahrenthold (2005).…”

Numerical Simulation of Impact Effects on Multilayer Fabrics

“…In recent years a number of coupled particle-element and hybrid particle-element methods have been introduced, in an attempt to combine the best features of finite element methods and particle methods, in a unified numerical formulation. One such approach is the hybrid particle-element formulation developed by the first author and coworkers [1,2]. This formulation employs particles and elements in tandem.…”

A kernel free particle‐finite element method for hypervelocity impact simulation

“…The results of Shivarama and Fahrenthold [21] allow in the present case Lagrange's equations to take the canonical forṁ…”

“…The alternative mixed method of Fahrenthold and co-workers [21] is based on a hybrid particle-finite element formulation. This method in not subject to tensile instability and numerical fracture problems and eliminates the requirement for special treatment of particleto-element contact-impact.…”

“…In the hypervelocity impact regime, where large strain plasticity, perforation, fragmentation, melting, and complex multi-structure contact-impact effects are often present, this formulation provides a particular combination of advantageous features not offered by alternative numerical methods. The present paper describes an improved hybrid particle-finite element method, modifying the formulation of Ravishankar and Fahrenthold [21] in two respects. First, the density is determined by integrating nonholonomic constraints imposed on the system level thermomechanical model.…”