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给出了二维正交各向异性结构弹塑性问题的边界元分析方法,包括相应边界积分方程、内点应力公式、边界元求解格式以及弹塑性应力计算方法。在弹塑性分析中,引入了HillTsai屈服准则,采用初应力法和切向预测径向返回法确定实际应力状态。通过具体算例分析了二维正交各向异性结构的弹塑性应力和塑性区分布情况,部分数值结果与已有结果进行了比较,两者基本吻合。结果表明,本文中给出的边界元法可以有效地用于求解二维正交各向异性结构的弹塑性问题。
The boundary element analysis method for two-dimensional elastic-plastic problems of orthotropic structure is given, including the corresponding boundary integral equation, the stress formula of internal point, the solution of boundary element, and the calculation method of elastic-plastic stress. In elasto-plastic analysis, the HillTsai yield criterion is introduced, and the initial stress method and tangential prediction radial return method are used to determine the actual stress state. The elastic-plastic stress and plastic zone distributions of two-dimensional orthotropic structures are analyzed by numerical examples. Some numerical results are compared with the existing ones, and the two are in good agreement. The results show that the boundary element method presented in this paper can be effectively used to solve elasto-plastic problems of two-dimensional orthotropic structures.