各向异性板应力集中问题最小二乘虚边界元解法  

Least-squares Virtual Boundary Element Method for Solving the Stress Concentration Problem in Anisotropic Plate

作　　者：张志佳[1] 许强[1] 蒋彦涛[1] 

机构地区：[1]同济大学建筑工程系,上海200092

出　　处：《佳木斯大学学报（自然科学版）》2008年第4期433-436,共4页Journal of Jiamusi University：Natural Science Edition

摘　　要：针对各向异性板的应力集中问题,依据虚边界元法的求解思路,以复变函数表达的基本解作为权函数,建立了相应最小二乘虚边界元的数学模式;其可求解正交各向异性或一般各向异性材料的平面问题.文中给出了含圆孔的各向异性板应力集中问题的数值算例;通过与边界元直接法、有限元法的数值比较可知,本文方法的数值结果具有较高的计算精度.此外,相对其它数值方法本文方法对于各向异性板应力集中问题的求解,具有较好的适用性和数值计算的稳定性.Using the fundamental solution of anisotropic plate described with a complex variable function method as weight function, this Paper establishes the least squares virtual boundary element（IS- VBEM） format of general anisotropic problem of plane. So plane problem of orthogonal or general anisotropic material can be solved. Numerical examples of the stress concentration problem in anisotropic plate with a circular hole are presented and the numerical results are compared with those of direct boundary element method and finite element method. The illustration demon- strates that the IS - VBEM has good computing stability and high accuracy in solving stress concentration problems of anisotropic plate.

关 键 词：虚边界元法 各向异性 板 应力集中 

分 类 号：O343.4[理学—固体力学] TB33[理学—力学]