摘要
提出了一种用无单元法模拟弹性体中三维不连续面的处理方法。该法采用可视准则来处理不连续面对高斯点影响域的隔离作用并考虑不连续面两表面的相互作用对整体平衡方程组的贡献。为此,推导了不连续面对整体平衡方程组的贡献方程,研究了模拟不连续面实际接触状态的非线性迭代算法。在上述基础上,编制了模拟三维不连续面的无单元法程序。最后,应用上述方法和程序对一含裂纹的立方体进行了受力分析,结果表明该方法和程序是合理可行的。
A treatment technique for modeling 3D discontinuous interfaces in elastic bodies by the element-free Galerkin method is presented. In this technique, the isolation effect of discontinuous interface on domain of influence for a Gauss point is dealt by visibility criterion, and contribution of reciprocity between the two faces of discontinuous interface to the system of equilibrium equations is considered. The contributive equation of discontinuous interface to the system of equations is derived and nonlinear iterative algorithms for simulating the contact state of a discontinuous interface are studied. An element-free analysis program for simulation of three-dimensional discontinuous interfaces is developed on basis of the aforesaid discussion. Finally, the program is applied to analyze a cracked cube under the action of well-distributed stress. The result shows that the method and program are reliable and feasible.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2004年第18期3127-3131,共5页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金(59909004)
中国博士后科学基金(2002031100)资助项目。
关键词
数值分析
无单元法
裂纹
隔离
三维不连续面
Computer simulation
Cracks
Galerkin methods
Iterative methods
Numerical analysis
Three dimensional
Visibility
