Generalized coordinate smoothed particle hydrodynamics with an overset method in total Lagrangian formulation

This study proposes a generalized coordinate smoothed particle hydrodynamics (GCSPH) method coupled with an overset using the total Lagrangian formulation for solving large deformation and crack propagation problems. In GCSPH, physical space is decomposed into multiple domains, each of which mapped to avoid singularities as well flexibly change spatial resolution. The SPH particles are then non-uniformly distributed in (e.g., typically boundary-conforming manner) defined uniformly space, similar standard SPH. spaces numerically related by transformation matrices. use non-uniform distributions decreases number particles, thus significantly reducing simulation cost. Three numerical cases: three-dimensional brittle propagation, Taylor impact, plugging failure, presented validate proposed method. results sufficiently accurate compared Furthermore, these also show benefits not only effectively reduces computational cost but eliminates effects arrangement. These advantages allow GCSPH perform high-resolution problems, otherwise costly