提出了采用无网格Galerkin方法来分析非均质材料。无网格伽辽金法 (EFGM)是近些年发展起来的一种数值算法 ,它采用移动的最小二乘法构造形函数 ,从能量泛函的弱变分形式中得到控制方程 ,该法只需节点信息 ,不需将节点连成单元。在积分网格中 ,取高斯点的材料参数来模拟材料特性的变化。算例的结果显示用该法来分析非均质材料得到的结果精度高 ,表明该方法在非均质材料领域有着广阔的应用前景。 A meshless Galerkin method is proposed to analyze heterogeneous materials. The Galerkin method (EFGM) is a numerical algorithm developed in recent years. It uses the moving least square method to construct the shape function and obtains the governing equation from the weakly variable form of the energy functional. Need node information, do not need to connect nodes into units. In the integral grid, take the Gaussian point of the material parameters to simulate changes in material properties. The result of the example shows that this method can be used to analyze heterogeneous materials with high precision, which shows that this method has broad application prospect in the field of heterogeneous materials.