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肖莎, 岳中琦. 倾斜层状地基的精准边界元方法及其应用[J]. 岩土工程学报. DOI: 10.11779/CJGE20240005
引用本文: 肖莎, 岳中琦. 倾斜层状地基的精准边界元方法及其应用[J]. 岩土工程学报. DOI: 10.11779/CJGE20240005
Precise boundary element method for non-horizontally layered foundations and its applications[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240005
Citation: Precise boundary element method for non-horizontally layered foundations and its applications[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240005

倾斜层状地基的精准边界元方法及其应用

Precise boundary element method for non-horizontally layered foundations and its applications

  • 摘要: 本文发展了一种新型边界元法,精准计算基础载荷作用下倾斜层状地基附加应力和沉降。该边界元法采用作者最新发展的横观各向同性层状材料基本解,8结点等参单元离散加载域及其附近区域的边界,6结点无穷单元离散远场边界。引入结点位于单元内部的不连续单元,消除边界积分方程自由项系数的求解困难,给出离散边界积分方程中非奇异和奇异积分的数值计算方法。数值验证表明发展的数值方法具有很高的计算精度和效率。算例分析详细揭示了层状岩土材料各向异性和倾斜分层对弹性场的影响。

     

    Abstract: This paper develops the new boundary element method (BEM) for accurately calculating additional stresses and settlements in non-horizontally layered foundations. The proposed BEM utilizes the fundamental solutions of multilayered solids with transverse isotropy (TI) under point-concentrated loads. Eight-noded isoparametric elements are used to discretize a core region around the traction area whereas six-noded infinite elements are used to discretize a far-field region beyond the traction area. To avoid calculating the coefficient of the free term for the source point at the strike line between the boundary and material interface, the discontinuous isoparametric and infinite elements with nodes located within elements are positioned near the strike lines. Numerical methods for non-singular and various singular integrals in the discretized boundary integral equations are developed. Numerical verification shows that the present BEM has very high accuracy and computational efficiency. Numerical examples illustrate the effects of anisotropy and non-horizontal layered structures of the foundations on the elastic fields in detail.

     

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