【摘要】 介绍自然单元法(NEM)在处理二维弹性力学问题中的应用.该方法利用求解点的自然邻接点和V orono i结构构造整体近似位移函数,且在求解区域的D e launay三角形子域上采用G a lerk in过程建立整体求解的系统平衡方程,其积分可在背景三角形网格上采用数值积分得到.更多还原

【Abstract】 The application of the Natural Element Method (NEM) to problems in two-dimensional elastostatics is presented.In the Natural Element Method,the whole interpolations are constructed with respect to the natural neighbor nodes and Voronoi tessellation of the given point,and a standard displacement-based Galerkin procedure over the Delaunay triangular sub-domain is used to obtain the discrete system of equilibrium equations.As a result,the numerical integration of the equilibrium equations can be analytically calculated at the triangular quadrature meshes.Excellent agreement with exact(analytical) solutions is obtained,which exemplifies the accuracy and robustness of NEM and suggests its potential application.更多还原