In this study, the accuracy and generality of stress calculation for a plate containing double holes via Schwarz alternating method was investigated. The original Schwarz alternating method with inverse mapping function shows a good performance in terms of the stress solution for a plate containing two arched holes. However, for a plate containing two holes with corners, evitable error may be produced during the calculation because of the unsatisfying accuracy of inverse mapping function. This error is particularly obvious in the stress calculation for a plate containing two triangular holes. To address the problem, an improved Schwarz alternating method without the consideration of inverse mapping function was proposed in this study. The coordinate transformation of points around hole boundaries is realized by an optimization method instead of the inverse mapping function, which leads to little error during the calculation and thus improves the stress solution accuracy especially for plates containing holes with corners. With the employment of the improved method, the influences of connecting angle and lateral pressure coefficient on stress solutions for plates containing double U-shaped holes were discussed. In addition, DEM simulations were further conducted to study the influence of stress characteristics on the failure patterns of rock mass. The result shows that the hoop stress linearly relates to lateral pressure coefficient in the elastic plate and fractures always initiate around hole boundaries where high stress concentrates.

本研究研究了Schwarz交替法计算含双孔板应力的准确性和通用性。具有逆映射函数的原始 Schwarz 交替方法在包含两个拱形孔的板的应力解方面表现出良好的性能。然而，对于包含两个带角孔的板，由于逆映射函数的精度不令人满意，在计算过程中可能会产生不可避免的误差。这种误差在包含两个三角形孔的板的应力计算中尤为明显。针对这一问题，本研究提出了一种不考虑逆映射函数的改进Schwarz交替方法。孔边界周围点的坐标变换采用优化方法而不是逆映射函数实现，计算误差小，从而提高应力求解精度，特别是对于含有带角孔的板。采用改进方法，讨论了连接角和侧压力系数对含双U形孔板应力解的影响。此外，进一步进行了DEM模拟以研究应力特征对岩体破坏模式的影响。结果表明，环向应力与弹性板中的侧压力系数呈线性关系，裂缝总是在高应力集中的孔边界附近开始。这导致计算过程中的误差很小，从而提高了应力求解精度，特别是对于包含带角孔的板。采用改进方法，讨论了连接角和侧压系数对含双U形孔板应力解的影响。此外，进一步进行了DEM模拟以研究应力特征对岩体破坏模式的影响。结果表明，环向应力与弹性板中的侧压力系数呈线性关系，裂缝总是在高应力集中的孔边界附近开始。这导致计算过程中的误差很小，从而提高了应力求解精度，特别是对于包含带角孔的板。采用改进方法，讨论了连接角和侧压力系数对含双U形孔板应力解的影响。此外，进一步进行了DEM模拟以研究应力特征对岩体破坏模式的影响。结果表明，环向应力与弹性板中的侧压力系数呈线性关系，裂缝总是在高应力集中的孔边界附近开始。讨论了连接角和侧压力系数对含双U形孔板应力解的影响。此外，进一步进行了DEM模拟以研究应力特征对岩体破坏模式的影响。结果表明，环向应力与弹性板中的侧压力系数呈线性关系，裂缝总是在高应力集中的孔边界附近开始。讨论了连接角和侧压力系数对含双U形孔板应力解的影响。此外，进一步进行了DEM模拟以研究应力特征对岩体破坏模式的影响。结果表明，环向应力与弹性板中的侧压力系数呈线性关系，裂缝总是在高应力集中的孔边界附近开始。