有限覆盖径向点插值法及其在土工问题中的应用  

The radial point-interpolation method based on finite covers and its applications to geotechnics

作　　者：栾茂田[1] 樊成[1] 黎勇[1] 杨庆[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室

出　　处：《岩土力学》2006年第12期2143-2148,共6页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.50172022);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[1998]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Kroneckerδ-函数属性,方便了位移边界条件的处理。在简要阐述了这种方法基本原理的基础上,将该方法用用于地基附加应力计算分析,结果证明本文方法精度高,方法简单有效。Both the finite-cover technique and radial point-interpolation method are integrated together to develop an element-free radial point-interpolation procedure based on finite covers which takes both advantages of these two types of numerical methods. The shape functions constructed by the proposed method have the property of Kronecker δ-function which made the essential boundary conditions 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 KRONECKER δ-属性 

分 类 号：TB115[理学—数学]