Nonlinear Analysis Of Reinforced Concrete Medium Plate By Meshless Method

Element-free Galerkin method developed in recent years as a numerical method, calculation of force by the international academic circles attention. It uses moving least squares method to construct the shape function, from the energy functional of the weak variational form of the governing equations, and using penalty method to impose essential boundary conditions, to obtain the numerical solution of partial differential equations. Different from the finite element method, the approximate function of the law is based on a series of discrete points, without even the node into the cell, the finite element method to overcome the dependence on the unit; In addition, high precision, easy post-processing etc.Element-free Galerkin method based on moving least squares math. With the moving least square method to construct the shape function, just in solving a series of nodes arranged in the region, no unit, so the structural fracture, deformation, crack propagation and other engineering problems of the analysis, has many advantages. But the moving least squares approximation is not necessarily accurate by calculating the points, except the right to use the singular function. Therefore, the essential boundary conditions and concentrated loads imposed by the complexity of dealing with change; but compared to the benefits of this approach is negligible. Present element-free Galerkin method are concentrated in linear elastic material, or a simple case of nonlinear load material.This article will use the incremental form of free Galerkin method, nonlinear elastic plate reinforced concrete, plastic analysis, a combination of Darwin-Pecknold constitutive model and the Kupfer failure criterion of strength and will in the finite element in application of sophisticated calculations to introduce a layered plate element-free Galerkin Method.