A Nanoscale Meshfree Particle Method with the Implementation of the Quasicontinuum Method

Since meshfree particle methods have advantages on simulating the problems involving extremely large deformations, fractures etc., they become attractive options to be used in the hierarchical multiscale modeling to approximate a large number of atoms. We propose a nanoscale meshfree particle method with the implementation of the quasicontinuum technique in this paper. The intrinsic properties of the material associated with each particle will be sought from the atomic level via the Cauchy-Born rule. The studies of a nano beam and a nano plate with a central crack show that such a hierarchical modeling can be beneficial from the advantages of meshfree particle methods.