SMOOTHED PARTICLE GALERKIN FORMULATION FOR SIMULATING PHYSICAL BEHAVIOR IN SOLID MECHANIC

摘要

PROBLEM TO BE SOLVED: To provide a method and a system for conducting numerical simulation of structural behavior in solid mechanic using smoothed particle Galerkin formulation.SOLUTION: A meshfree model representing a physical domain defined by a plurality of particles is received in a computer system. Each particle is configured for material properties of portion of the physical domain it represents. A smoothed displacement field of the physical domain subject to defined boundary condition is obtained by conducting a time-marching simulation using the meshfree model based on smoothed particle Galerkin formulation. The smoothed displacement field is derived from a set of smoothed meshfree shape functions that satisfies linear polynomial reproduction condition. The set of smoothed meshfree shape functions is constructed by convex meshfree approximation scheme and configured to avoid calculation of second order derivatives. The set of smoothed meshfree shape functions is a combination of regular meshfree shape function and a displacement smoothing function for the particles.