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在文献中,本文作者研究了正交各向异性平面问题边界元素法的有关基本理论和计算公式,在上述工作的基础上,本文进一步研究各向异性平面问题边界邻域的应力分析。 当采用边界元素法分析应力时,由于边界积分的奇异性,边界邻域应力的计算结果往往存在一定误差。为解决此问题,本文提出一个基于修正余能原理的所谓边境元素,包括四节点边境元素、八节点边境元素和三节点边境元素等。在边界元素法求解的基础上,进一步利用本文所述边境元素法,得到了非常满意的计算结果。
In the literature, the author studied the basic theory and calculation formula of the boundary element method of the orthotropic planar problem. Based on the above work, this paper further studies the stress analysis of the boundary neighborhood of the anisotropic planar problem. When the boundary element method is used to analyze the stress, the calculation results of the stress in the neighborhood of the boundary tend to be inaccurate due to the singularity of the boundary integral. To solve this problem, this paper proposes a so-called border element based on the principle of modified residual energy, including four-node border elements, eight-node border elements and three-node border elements. Based on the solution of the boundary element method, this paper also makes use of the border element method described in this article and obtains very satisfactory results.