【摘要】 采用Laplace插值构造近似场函数,代入弹性力学边值问题的变分弱形式,由变分原理推导出自然单元法的离散控制方程。运用线弹性断裂力学理论,分析了有限板单边I型裂纹的应力强度因子和有限板拉剪复合裂纹的扩展,给出了分析线弹性断裂力学问题的自然单元法。数值计算结果表明了方法的正确性和有效性。更多还原

【Abstract】 The natural element method,which is based on the Laplace interpolation,is given for the calculation of the stress intensity factors and the simulation of the crack propagation.The Laplace interpolation,which is based on the Voronoi diagram and its dual Delaunay tessellation,is used to approximate the trial function.The discrete governing equation is developed by using the variation principle.By using the theory of linear elastic fracture mechanics,the analysis of stress intensity factors and crack propagation is given for the finite plates with a single edge crack and with a mixed-mode crack in tensile-shear state,respectively.Numerical examples reveal the effectiveness and the advantages of the present method.更多还原