摘要:
边界元素法是近年来受到国内外广泛重视并得到迅速发展的一种计算方法。本文系统地研究了正交各向异性平面问题边界元素法的有关基本问题,包括基本解,C矩阵、Gii矩阵和域内应力的表达式等,并在此基础上建立了常值边界元素和线性边界元素的计算公式。所述理论和公式适用于各类边值问题。最后,按本文所述理论和公式计算了含孔正交各向异性板的应力,数值结果与解析解相符甚好。
Abstract:
The present paper is concerned with the application of boundary element method to plane orthotropic elasticity.In this paper,some basic problems of BENI for plane orthotropic clasticity,such as the gencral fundamental solutions,C-matrix,Gii-matrix and the expression of stresses at any internal point,are systematically studisd,Based upon this theory,the formulae of constant boundary element and linear boundary element are established.Finally,to illustrate the correctness and the accuracy of the theory and method mentioned above,the stresses in the orthotropic plates with a hole are calculated.It is found that the results are very consistent with the analytical solutions.
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