岩土力学2012，Vol.33Issue(12)：3795-3800,6.
基于单位分解的扩展径向点插值无网格法
An enriched radial point interpolation meshless method based on partition of unity
摘要
Abstract
An enriched radial point interpolation meshless method(X-RPIM) was presented for the linear elastic fracture problem. In order to represent the discontinuous displacement field along crack face and stress singularity around the crack tip, enriched functions were added in the approximation of traditional radial point interpolation meshless method (RPIM) based on the ideas of partition of unity. The merit of presented method is that the shape functions have the properties of Kronecker 5 functions, which would make the essential boundary be implemented easily. The construction of discontinuous approximation function, the discrete format of governing equation and the evaluated process of the mixed-mode stress intensity factors by using the J integral method are introduced in detail in X-RPIM. The impact for the computational results of stress intensity factors using different integral domains of crack tip is discussed. Analyses of numerical examples demonstrate that the enriched radial point interpolation meshless method can effectively solve fracture problem, and has practical merits for modeling crack growth problem.关键词
单位分解/径向点插值无网格方法/断裂问题/应力强度因子/裂纹扩展Key words
partition of unity/ radial point interpolation meshless method/ fracture problem/ stress intensity factors/ crack growth分类
建筑与水利引用本文复制引用
马文涛,李宁,师俊平..基于单位分解的扩展径向点插值无网格法[J].岩土力学,2012,33(12):3795-3800,6.基金项目
国家自然科学基金(No.10972180). （No.10972180）
