SPH method simulations for problems involving large deformable elastoplastic bodies

抄録

This research shows some applications of the Smoothed Particles Hydrodynamics method for hyperelastic-plastic materials subjected to collisions. We utilize the total Lagrangian description for particles under the hyperelastic-plastic regime, while change it to the updated Lagrangian description (with non-Newtonian fluid rheology) for particles under very large accumulated plastic deformation. We also developed a simple yet robust contact algorithm, which relies solely on the internal elastic forces due to inertia to generate any bouncing behavior. This contact algorithm generates an intrinsic energy loss during the impact, which the current authors consider to be a convenient inaccuracy. A simple numerical experiment of two colliding spheres is then conducted to assess this impact-generated energy loss, as well as to show that our method is capable of intentionally dissipate the impact energy through plastic deformation. Finally, we show the full capability of the current method in a catastrophic landslide of a soil mass with randomly distributed large rocks boulders inside.