Abstract This paper investigates the static interaction between an eccentricly loaded rectangular rigid foundation and layered transversely isotropic soils. Firstly, the solution of the layered transversely isotropic soils is derived using the analytical layer element method. After decomposing the deformation forms of the rigid rectangular foundation under eccentric loads, we establish the dual integral equations through mixed boundary conditions. Then, the Jacobi orthogonal polynomial and the Bessel function are employed to solve the above dual integral equations, and the static response solution of the rigid rectangular foundation subjected to eccentric loads is obtained through superposition. The results of this study are compared with those obtained from ABAQUS simulation to verify the presented method. Finally, numerical examples are designed to further elucidate the influence of transverse isotropy and stratification of the soils as well as the embedded depth and aspect ratio of foundation on the static response of a rigid rectangular foundation due to eccentric loads.

中文翻译：

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层状横向各向同性土中偏心加载矩形刚性地基的对偶积分方程解

摘要 本文研究了偏心加载矩形刚性地基与层状横向各向同性土之间的静态相互作用。首先，采用解析层元法推导出层状横向各向同性土的解。在对偏心荷载作用下刚性矩形基础的变形形式进行分解后，通过混合边界条件建立对偶积分方程。然后，采用雅可比正交多项式和贝塞尔函数求解上述对偶积分方程，通过叠加得到刚性矩形地基在偏心荷载作用下的静响应解。将本研究的结果与从 ABAQUS 模拟获得的结果进行比较，以验证所提出的方法。最后，