A meshfree particle method with stress points and its applications at the nanoscale

In this paper, a meshfree particle method with the stress point integration scheme is studied. It has been shown that this meshfree particle method with Lagrangian kernel can provide a stable method. A finite element mapping technique is introduced to insert stress points and to calculate volumes associated with particles/stress points so that the triangulation and the Voronoi diagram can be avoided. This meshfree particle method can be used for nanoscale simulations via the implementation of the Cauchy-Born rule. It can also be coupled with molecular dynamics based on the bridging domain coupling technique.