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Boundary element analysis for elastic and elastoplastic problems of 2D orthotropic media with stress concentration

机译:应力集中的二维正交各向异性介质弹性和弹塑性问题的边界元分析

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Both the orthotropy and the stress concentration are common issues in modern structural engineering. This paper introduces the boundary element method (BEM) into the elastic and elastoplastic analyses for 2D orthotropic media with stress concentration. The discretized boundary element formulations are established, and the stress formulae as well as the fundamental solutions are derived in matrix notations. The numerical procedures are proposed to analyze both elastic and elastoplastic problems of2D orthotropic media with stress concentration. To obtain more precise stress values with fewer elements, the quadratic isoparametric element formulation is adopted in the boundary discretization and numerical procedures. Numerical examples show that there are significant stress concentrations and different elastoplastic behaviors in some orthotropic media, and some of the computational results are compared with other solutions.Good agreements are also observed, which demonstrates the efficiency and reliability of the present BEM in the stress concentration analysis for orthotropic media.
机译:正交各向异性和应力集中都是现代结构工程中的常见问题。本文将边界元方法(BEM)引入到应力集中的二维正交各向异性介质的弹性和弹塑性分析中。建立离散的边界元公式,并用矩阵符号导出应力公式以及基本解。提出了数值程序来分析带有应力集中的二维正交各向异性介质的弹性和弹塑性问题。为了用更少的元素获得更精确的应力值,边界离散化和数值程序采用了二次等参元素公式。数值算例表明,在某些正交各向异性介质中存在显着的应力集中和不同的弹塑性行为,并且将一些计算结果与其他解决方案进行了比较,还观察到了很好的一致性,这表明了当前BEM在应力集中的效率和可靠性。正交各向异性介质的分析。

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