Extention and validation of a hybrid particle-finite element method for hypervelocity impact simulation

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

“…Wall clock times are increased for all three problem sizes and associated processor counts, by an average factor of one third. This result is not surprising, since the finite element related portion of the computation is relatively inexpensive [22], while most of the particle related computations are performed in two sequential routines: one loops over all neighbour particles to determine the density, the second loops again over all neighbour particles to compute the particle interaction forces. The effect of introducing the non-holonomic density calculation developed here is to eliminate the first of these two routines.…”

“…The preceding formulation combines a true Lagrangian description of material strength effects with a general particle based model of contact-impact dynamics, and has been validated in simulations of impact experiments conducted at velocities ranging from one to ten kilometers per second [22]. 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.…”

Hypervelocity impact computations with finite elements and meshfree particles

“…As an alternate approach, Fahrenthold and Shivarama [12] perform Lagrangian hypervelocity computations by a hybrid scheme in which particles and elements are used simultaneously over the entire material domain. Particles compute the compressive volumetric response, while elements compute the deviatoric response and the tensile volumetric response.…”

An ellipsoidal particle–finite element method for hypervelocity impact simulation

“…The relatively simple dissipative constitutive models assumed here are described in this section. The plasticity model is adapted from Fahrenthold and Horban [25], and represents the simplest possible accommodation of the isochoric deformation constraint (21).…”

“…The final section presents two example problems, showing good agreement of simulations performed using the model developed here to published data for three dimensional impact experiments. Additional validation work, for simulations performed using a spherical kernel, are described by Fahrenthold and Shivarama [21], who also provide details on the numerical implementation and test results showing numerical convergence and good parallel speedup.…”