A 2.5D coupled FE-BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace
A 2.5D coupled FE-BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace
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DOI：
10.1016/j.cma.2010.01.001
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发表时间：
2010-04
影响因子：
7.2
通讯作者：
S. François;M. Schevenels;P. Galvín;G. Lombaert;G. Degrande
中科院分区：
文献类型：
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作者：
S. François;M. Schevenels;P. Galvín;G. Lombaert;G. Degrande
本文提出了一种通用的2.5维有限元-边界元耦合方法，用于计算层状土与具有纵向不变几何形状的结构（如铁路轨道、道路、隧道、大坝和管道）之间的动力相互作用。将经典的2.5维有限元法与一种新的2.5维边界元法相结合。正则化的2.5维边界积分方程推导出，避免了奇异牵引积分的评价。用直接刚度法计算了层状半空间的2.5维绿色函数，并将其用于边界元法中。这避免了网格的自由表面和层界面与边界元，并有效地减少了计算工作量和存储要求。所提出的技术被应用到四个例子：道路上的表面上的半空间，隧道嵌入在层状半空间，堤坝上的半空间和振动隔离屏幕在土壤中。
This paper presents a general 2.5D coupled finite element–boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines. The classical 2.5D finite element method is combined with a novel 2.5D boundary element method. A regularized 2.5D boundary integral equation is derived that avoids the evaluation of singular traction integrals. The 2.5D Green’s functions of a layered halfspace, computed with the direct stiffness method, are used in a boundary element method formulation. This avoids meshing of the free surface and the layer interfaces with boundary elements and effectively reduces the computational efforts and storage requirements. The proposed technique is applied to four examples: a road on the surface of a halfspace, a tunnel embedded in a layered halfspace, a dike on a halfspace and a vibration isolating screen in the soil.