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一种自适应影响域半径无网格Galerkin法的应用研究
引用本文:边燕飞,何沛祥,程媛媛.一种自适应影响域半径无网格Galerkin法的应用研究[J].合肥工业大学学报(自然科学版),2009,32(4).
作者姓名:边燕飞  何沛祥  程媛媛
作者单位:合肥工业大学,土木与水利工程学院,安徽,合肥,230009
摘    要:文章在背景积分网格积分方式的基础上,采用基于最小移动二乘近似的一种自适应影响域半径无网格Galerkin法,运用线弹性断裂力学理论,对有限板单边裂纹的应力强度因子进行了分析.由于该方法仅需节点信息,而不需要节点的连接信息,从而避免了有限元方法中的网格重构,大大简化了裂纹扩展的分析过程.数值计算结果表明了该方法的有效性.

关 键 词:无网格Galerkin法  自适应影响域半径  衍射法  应力强度因子

Application of element-free Galerkin method in consideration of self-adaptive radius of influential domain
BIAN Yan-fei,HE Pei-xiang,CHENG Yuan-yuan.Application of element-free Galerkin method in consideration of self-adaptive radius of influential domain[J].Journal of Hefei University of Technology(Natural Science),2009,32(4).
Authors:BIAN Yan-fei  HE Pei-xiang  CHENG Yuan-yuan
Institution:School of Civil and Hydraulic Engineering;Hefei University of Technology;Hefei 230009;China
Abstract:An element-free Galerkin method(EFG) in consideration of the self-adaptive radius of the influential domain is presented based on the background finite element mesh used for quadrature.In the method,the radius of the influential domain is adjusted according to the density of nodes.By using the theory of linear elastic fracture mechanics,the stress intensity factors of finite plates with single edge crack are analyzed.Without the connectivity information of elements,the burdensome remeshing,which is used in ...
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