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改进的数值流形算法在复杂裂纹模拟分析中的应用
引用本文:李恩璞,李小双.改进的数值流形算法在复杂裂纹模拟分析中的应用[J].路基工程,2014,0(1):16-21.
作者姓名:李恩璞  李小双
作者单位:1.1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
基金项目:国家科技支撑计划项目(2011BAB08801)
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。

关 键 词:复杂裂纹    流形方法    物理覆盖系统    J积分
收稿时间:2019-11-06

Application of Improved Numerical Manifold Method in Simulation Analysis of Complex Crack
Authors:LI Enpu  LI Xiaoshuang
Affiliation:1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, School of Civil Engineering, Tongji University, Shanghai 200092, China; 2. Yunnan Phosphate Chemical Group Co. , Ltd. , Kunming 650600, China)
Abstract: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.
Keywords:complex crack  numerical manifold method  physical cover system  J integration
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