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.
出处
《佳木斯大学学报（自然科学版）》
CAS
2008年第4期433-436,共4页
Journal of Jiamusi University：Natural Science Edition
关键词
虚边界元法
各向异性
板
应力集中
virtual boundary element method
anisotropy
plate
stress concentration
