计算力学学报2012，Vol.29Issue(4)：505-510,6.
含裂纹体的单位分解扩展无网格方法
Enriched meshless method based on partition of unity for a body with cracks
摘要
Abstract
Numerical simulation of discontinuities, especially for solving the dynamic cracks, is a hot and difficult problem. The meshless method based only on nodes is very suitable for solving those typical questions. A new method for crack approximation is introduced. Based on the idea of partition of unity, one Heaviside function accounting for the displacement discontinuity along the crack faces and four en- riched functions near the crack tip in order to capture the singularity of the asymptotic crack tip displace- ment fields are enriched in the function of moving least square（MLS） approximation . Then the linear discrete system of equilibrium differential equations is derived by using the Galerkin method and the in- teraction integral method to evaluate the stress intensity factors is presented. Compared with other styles of enriched meshless, one advantage of this methods is that the visibility criterion is not to be used around the crack tip. Therefore,r^1/2 singularity is reproduced very well. The second advantage is that the domain of influence of the nodes not changed by the passage of the crack, holding the equations of spar- sity, leading to rather high computations. Numerical simulations illustrate that the approach can effec- tively model the discontinuities, and it has practical merits.关键词
数值模拟/裂纹体/单位分解/扩展无网格方法/应力强度因子Key words
numerical simulation/discontinuities/partition of unity/enriched meshless method/stressintensity factor分类
数理科学引用本文复制引用
马文涛,师俊平,李宁..含裂纹体的单位分解扩展无网格方法[J].计算力学学报,2012,29(4):505-510,6.基金项目
国家自然科学基金（10972180）资助项目. （）
