三维无单元法模拟岩体裂纹扩展  

Simulation of rock fracture propagation by three-dimensional element-free method

作　　者：马泽玲[1] 黄永东[1] 

机构地区：[1]北方民族大学信息与计算科学学院,银川750021

出　　处：《华中师范大学学报（自然科学版）》2010年第2期236-239,273,共5页Journal of Central China Normal University：Natural Sciences

基　　金：教育部科学技术研究重点项目(209152);北方民族大学科研资助项目(2007y046)

摘　　要：针对岩体结构的复杂性,尤其是裂纹扩展这个岩土工程数值分析中的难点问题,采用无单元滑动最小二乘法来构造位移函数,该方法不需要划分网格,能较好地模拟岩体等介质中的裂纹传播,不仅可以保证计算精度和收敛性,而且可以减少计算难度.文中首先介绍了无单元法的基本思想和程序设计思路,重点推导了三维岩体的无单元计算公式和编制了三维无单元程序,计算了一坝体的位移和应力.For the complexity of rock structure, in particular, the difficult problem that is fracture propagation in numerical analysis of geotechnical engineering. We use moving least-squares of element-free method to construct the displacement function. This method doesn＇t need mesh and can well simulate the fracture propagation of rock etc. This method not only can ensure the accuracy and convergence, but also can reduce the computational difficulty. Firstly, this article introduces the basic idea of element-free method and procedures for designing ideas. Particularly, we derive the three-dimensional rock of element-free formula and procedure, calculating the displacement and stress of a dam .

关 键 词：无单元法 岩体 裂纹扩展 坝体 

分 类 号：O347.4[理学—固体力学]