An improved generalized particle algorithm that includes boundaries and interfaces

This paper presents an improved generalized particle algorithm (GPA), as well as new boundary and interface algorithms for particle interaction with finite elements and other particles (of different materials). The improved GPA uses a local co‐ordinate system that is aligned with the boundaries and/or interfaces for the determination of the strain rates and forces. This enables the boundary and interface algorithms to be applied in a straightforward manner. It also provides an invariant solution that is independent of the orientation of the global co‐ordinate system. Several examples are presented to illustrate the effects of the various algorithms.