辛奇异元方法与含裂纹结构加固问题分析  

A method of symplectic singular element and its application for reinforcement of cracked structures

作　　者：徐新生[1] 胡俊林[1] 贾宏志[1] 周震寰[1] 吴宇飞[2] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024 [2]香港城市大学土木及建筑工程系

出　　处：《计算力学学报》2013年第S1期58-61,83,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11072054);辽宁省博士启动基金计划(20121017);国家973项目(2009CB724302)资助项目

摘　　要：本文借助于辛体系本征解展开原理和辛共轭正交关系,提出一种辛奇异元模型。并结合有限元软件形成一种新的数值方法和对含裂纹结构分析思路。其最大优势在于:直接给出裂纹的应力强度因子;不受单元网格密度的局限;不受路径的影响。利用该奇异元对含裂纹结构加固问题进行分析,发现了一些特殊的规律。为含裂纹结构加固技术提供依据。Based on the expansion of symplectic eigensolutions and symplectic relations of adjoint orthonormalization,a model of symplectic singular element is presented in this paper.Combining with finite element software,a numerical method is formed for analysis of cracked structures.Advantages of the method are that stress intensity factors can be obtained directly,and the density localization of finite element mesh and the path of limit do not affect the numerical value of the factor.For reinforcement problem of cracked structures is discussed and analyzed.Some new rules are revealed in numerical results for reinforcement technique.

关 键 词：辛体系 奇异元 裂纹 结构 加固 

分 类 号：O346.1[理学—固体力学]