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为解决各向异性介质时域边界元方法中应力计算的问题,建立了各向异性介质时域边界元方法边界点及内点的应力计算方法,并从不同层次对其进行详细考察,其中,对边界点采取在边界上恢复应力张量的方法,对内点采取基于位移解的数值微分方法。应用所建立的应力计算方法,进行了两个算例的计算,结果表明,该计算方法具有较好的精度和稳定性,可用于各向异性介质的动态问题特别是波传播问题应力的分析计算。
In order to solve the problem of stress calculation in the time domain boundary element method of anisotropic media, the stress calculation method of the boundary point and the inner point of the anisotropic media in the time domain boundary element method is established and investigated in detail at different levels. A method of restoring the stress tensor at the boundary is adopted for the boundary point, and the numerical differential method based on the displacement solution is adopted for the inner point. The stress calculation method is used to calculate two examples. The results show that the method has good accuracy and stability and can be used to analyze the dynamic problems of anisotropic media, especially the wave propagation stress .