Friction Modelling in Particle-to-Particle Contact

Abstract

Previous work developed a particle-to-particle contact algorithm to treat frictionless sliding between two bodies discretised by SPH particles without the requirement to construct surfaces or approximate a surface normal. This algorithm was then extended to contact between finite element and SPH domains and has subsequently been extensively applied to a range of problems. This paper extends the particle-to-particle contact algorithm to include a friction model to broaden the applicability of the contact algorithm. A simple friction model based on a Coulomb formulation has implemented. This generates a lateral contact force between individual particle pairs, with the friction force vector being orthogonal to the local contact force vector. 2D and 3D sensitivity studies show that the friction model works effectively with the overall contact algorithm.