基于有限覆盖技术的无网格法在裂纹扩展中的应用  

Meshless Method Based on Finite Covers Technique and its Applications in Crack Expansion

作　　者：樊成[1] 栾茂田[2] 杨庆[2] 

机构地区：[1]大连大学材料破坏力学数值试验研究中心,辽宁大连116622 [2]大连理工大学土木水利学院岩土工程研究所,辽宁大连116024

出　　处：《大连大学学报》2007年第6期5-9,47,共6页Journal of Dalian University

基　　金：国家自然科学基金资助项目(10172022);教育部跨世纪优秀人才培养计划研究基金资助项目(教技函[1999]2号)

摘　　要：将有限覆盖技术与径向点插值方法相结合发展了有限覆盖径向点插值无网格方法,从而综合了数值流形方法与点插值方法的各自优点,能够有效地处理连续与非连续性问题.用该方法构造的形函数具有Kro-neckerδ-函数属性,方便了位移边界条件的处理.本文在简要阐述了这种方法基本原理的基础上,将该方法应用于裂纹扩展分析计算,结果证明了本文方法的有效性.In this paper, both the finite-covers technique and the radial point-interpolation method are integrated together to develop an element-free radial point-interpolation procedure that is based on finite covers technique which takes both advantages of these two types of numerical methods. The shape functions constructed by this proposed method have the property of Kronecker δ -function which made the essential boundary conditions to be easily implemented. The fundamental theory of this procedure is illustrated and numerical analyses of examples show that the proposed procedure is an effective and simple method with higher computational accuracy.

关 键 词：有限覆盖 无网格方法 径向点插值 Kroneckerδ-属性 

分 类 号：TB115[理学—数学] O241[理学—应用数学]