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Smooth-Particle-Hydrodynamics is gaining popularity for the simulation ofsolids subjected to machining, wear, and impacts. Its attractiveness is due toits abilities to simulate problems involving large deformations resulting fromthe absence of mesh, recent improvements in stability conferred by thedevelopment of Total-Lagrangian version of SPH (TLSPH), but also itsavailability in the open-source software LAMMPS. This implementation features adamage model similar to the `pseudo-spring' method which creates instabilitieswhen used for the simulation of ductile materials. In this contribution, wepresent a new damage and failure model for TLSPH suitable for ductilematerials. In this implementation, not only the constitutive equations but alsothe TLSPH approximation are modified in order to take into account the changein material properties as well as the presence of discontinuities due to theinitiation and growth of damage. This new approach is accompanied by theimplementation of the Cockroft-Latham, Johnson-Cook, andGurson-Tvergaard-Needleman damage criteria. The predictive capabilities of theimplementation of this new damage model are then tested and compared againstboth experimental and results of Finite Element simulations.

A damage and failure implementation for the simulation of ductile solids with Total-Lagrangian Smooth Particle Hydrodynamics