改进的数值流形算法在复杂裂纹模拟分析中的应用  

Application of Improved Numerical Manifold Method in Simulation Analysis of Complex Crack

作　　者：李恩璞[1] 李小双[2] 

机构地区：[1]同济大学土木工程学院,岩土及地下工程教育部重点实验室,上海200092 [2]云南磷化集团有限公司,昆明650600

出　　处：《路基工程》2014年第1期16-21,共6页Subgrade Engineering

基　　金：国家科技支撑计划项目(2011BAB08B01)

摘　　要：在利用有限单元法进行复杂裂纹分析时,前处理的网格划分以及裂纹扩展时的网格重构会带来很大困难,而流形方法里定义的两套独立网格可统一求解连续和不连续问题,其前处理需求十分简单,特别适于求解各类裂纹问题。基于新发展的流形方法覆盖系统自动生成算法,采用三角形数学网格和J积分,将数值流形方法应用于各种复杂裂纹应力强度因子的计算和分析求解。数值算例结果表明了方法的有效性和计算精度。When conducting complex crack analysis by FEM, both meshing as preprocess and re-meshing in crack propagation are very difficult. However, due to two separate grids defined by numerical manifold method, any problems, whatever continuous or discontinuous, may be solved with the preprocess is very easy, especially suitable for various crack problems. Based on the automatic generation algorithm of physical cover system in numerical manifold method developed recently, SIFs for various complex cracks are calculated and analyzed by using triangle mathematic mesh and J integration. Numerical calculation examples show the validity and accuracy of the method.

关 键 词：复杂裂纹 流形方法 物理覆盖系统 J积分 

分 类 号：TU323.3[建筑科学—结构工程]