A semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation

Abstract The explosive welding process is an extreme-deformation problem that involves shock waves, large plastic deformation, and fragmentation around the collision point, which are extremely challenging features to model for traditional mesh-based methods. In this work, a particle-based Godunov algorithm under semi-Lagrangian reproducing kernel particle method (SL-RKPM) introduced into volumetric strain energy accurately embed key physics in absence of mesh or grid, shown also ensure conservation linear momentum. For stability, deformation-dependent anisotropic support update proposed, capture excessive flow material separation. A quasi-conforming nodal integration adopted avoid need updating conforming cells tedious extreme deformations. It proposed formulation effectively captures shocks, jet formation, smooth-to-wavy interface morphology transition with good agreement experimental results.