Abstract This paper presents an integrated, customized routine that uses object-oriented programming and a “super element class” to apply an integrated approach to simulate soil-structure interaction (SSI) problems. The scaled boundary finite element method (SBFEM) and finite element method (FEM) are applied together with the quad tree technique to implement cross-scale modeling for solid elements. Meanwhile, the meshless interface seamlessly connects mismatched and differing sizes of meshes between the soil and the structure, thus allowing cross-scale modeling at the interface level. In addition, through modify the radial point interpolation function (RPIM) and the method of searching supporting nodes, the precision near the boundaries of meshless interface are improved, and circular (cambered) type interfaces can be simulated. Thus, through a coupled Meshless-SBFEM-FEM approach, a fine analysis of soil-structure interaction problem with multilevel cross-scale model can be conducted.

中文翻译：

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一种耦合无网格-SBFEM-FEM 方法用跨尺度模型模拟土壤-结构相互作用

摘要 本文提出了一个集成的、定制的例程，它使用面向对象的编程和“超级元素类”来应用集成方法来模拟土壤结构相互作用 (SSI) 问题。缩放边界有限元法（SBFEM）和有限元法（FEM）与四叉树技术一起应用于实体单元的跨尺度建模。同时，无网格界面无缝连接土壤和结构之间不匹配和不同尺寸的网格，从而允许在界面级别进行跨尺度建模。此外，通过修改径向点插值函数（RPIM）和搜索支撑节点的方法，提高了无网格界面边界附近的精度，可以模拟圆形（弧形）型界面。因此，