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A comparison of the shock response of the Material Point Method

Ruggirello, Kevin P.; Schumacher, Shane C.

The Lagrangian Material Point Method (MPM) [1, 2] has been implemented into the Eulerian shock physics code CTH [3] at Sandia National Laboratories. Eulerian hydrodynamic methods are useful for large deformation problems, where mesh tangling typically leads to difficulties for Lagrangian finite element methods. However, Eulerian techniques suffer from numerical diffusion due to advection, which can be problematic for many material models requiring the transport of a damage parameter or other state variables that need to remain sharp [4]. The inclusion of the MPM in CTH allows for the accurate simulation of structural response to shock loading in a single framework. This paper presents a comparison of the shock response of the MPM and CPDI to the CTH hydrodynamics code. © Published under licence by IOP Publishing Ltd.