International Journal for Numerical Methods in Engineering · 2005 · 41 citations · 22 references
EngineeringMechanical EngineeringPhysicsComputational Fluid DynamicsComputational MechanicsFinite Element MethodsComputational ThermomechanicsFinite Element FormulationImpact MechanicsParticle MethodsSolid Mechanics ApplicationsEuler-lagrange EquationsFinite Element Impact SimulationFinite Element ModelingFinite Element SimulationHypervelocity ImpactsImpact ModelingLagrange's EquationsLagrange's Equations Of Motion
Abstract An improved hybrid particle‐finite element method has been developed for the simulation of hypervelocity impact problems. Unlike alternative methods, the revised formulation computes the density without reference to any kernel or interpolation functions, for either the density or the rate of dilatation. This simplifies the state space model and leads to a significant reduction in computational cost. The improved method introduces internal energy variables as generalized co‐ordinates in a new formulation of the thermomechanical Lagrange equations. Example problems show good agreement with exact solutions in one dimension and good agreement with experimental data in a three‐dimensional simulation. Copyright © 2005 John Wiley & Sons, Ltd.
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