局部正交无网格伽辽金法的研究及其在含多裂纹多孔结构中的应用  

Research on local orthogonal element-free Galerkin method and application in multi-crack structure

作　　者：孟广伟[1,2] 周立明[2] 李锋[2] 彭惠芬[2] 沙丽荣[2] 

机构地区：[1]吉林大学汽车动态模拟国家重点实验室,长春130022 [2]吉林大学机械科学与工程学院,长春130022

出　　处：《计算力学学报》2010年第6期989-994,共6页Chinese Journal of Computational Mechanics

基　　金：吉林大学"985工程"资助项目;吉林省科技厅基金(20090540);教育部博士点基金(20060183063)资助项目

摘　　要：通过对无网格法中正交基函数的研究,提出局部正交无网格伽辽金法,局部正交基函数保持原正交基函数的性质,但其导数具有了通式,简洁明了,易于编程实现,计算效率高,并将其应用到求解含多裂纹多孔均匀拉伸板的应力强度因子中,计算结果与用正交无网格伽辽金法和有限元法得到的结果进行比较,证明了局部正交无网格伽辽金法的可行性和正确性。A local orthogonal element-free Galerkin method was proposed in this paper, which based on the research of the orthogonal basis function in the element-free method. The local orthogonal basis function has the same attributes as the primitive orthogonal basis function, but its derivatives have much simpler expressions, it is also convenient to program and has a higher computational efficiency. And it was used to solve the stress intensity factor of a multiple pin holes and cracks plate under uniform tension, the computing results was compared with those obtained by orthogonal element-free Galerkin method and Finite Element Method, which illustrated the correctness and feasibility of the local orthogohal element-free Galerkin method.

关 键 词：局部正交无网格伽辽金法 移动最小二乘 局部正交基函数 应力强度因子 

分 类 号：TB115[理学—数学] O242[理学—应用数学]