A Meshless Local Petrov-Galerkin (MLPG)Micromechanical Model for Fiber Composites

摘要

In this paper we present the meshless local Petrov-Galerkin (MLPG) formulation for composite materials containing material discontinuities. The treatment of material discontinuity at the interface between the two phases of the composite is presented by means of direct imposition of interface boundary conditions. The MLPG method is used in the micromechanical model for predicting the elastic constants of composite materials. Examples are presented to illustrate the effectiveness of the current method, and the method is validated by comparing the results with available analytical and numerical solutions. The method has potential in micromechanical analysis of textile composites where the meshing of the unit cell has been quite difficult.