A better understanding of the mechanical behavior of the multi-layered structure under external loading is the most important item for the structural design and the risk assessment. The objective of this study are to propose and develop an analytical solution for the mechanical behaviors of multi-layered structure generated by axisymmetric loading, and to investigate the impact of anisotropic layers and interlayer conditions on the multi-layered structure. To reach these objectives, first, according to the governing equations, the analytical solution for a single layer was formulated by adopting the spatial Hankel transform. Then the global matrix technique is applied to achieve the analytical solution of multi-layered structure in Hankel domain. The sliding and bonded interlayer conditions were considered in this process. Finally, the numerical inversion of integral transform was used to solve the components of displacement and stress in real domain. Gauss-Legendre quadrature is a key scheme in the numerical inversion process. Moreover, following by the verification of the proposed analytical solution, one typical three-layered flexible pavement was applied as the computing carrier of numerical analysis for the multi-layered structure. The results have shown that the anisotropic layers and the interlayer conditions significantly affect the mechanical behaviors of the proposed structure.

中文翻译：

---

具有滑动和键合夹层条件的多层结构的各向异性

更好地了解多层结构在外部载荷下的机械性能是结构设计和风险评估的最重要项目。这项研究的目的是为轴对称载荷产生的多层结构的力学行为提出并开发一种解析解决方案，并研究各向异性层和层间条件对多层结构的影响。为了达到这些目的，首先，根据控制方程，通过采用空间汉克尔变换来为单层分析解决方案。然后应用全局矩阵技术实现汉克尔域中多层结构的解析解。在该过程中考虑了滑动和粘结的夹层条件。最后，积分变换的数值反演用于求解实域中的位移和应力分量。高斯-勒格德勒正交是数值反演过程中的关键方案。此外，在对所提出的解析方案进行验证之后，一种典型的三层柔性路面被用作多层结构数值分析的计算载体。结果表明，各向异性层和中间层条件显着影响所提出结构的机械性能。一种典型的三层柔性路面被用作多层结构数值分析的计算载体。结果表明，各向异性层和中间层条件显着影响所提出结构的机械性能。一种典型的三层柔性路面被用作多层结构数值分析的计算载体。结果表明，各向异性层和中间层条件显着影响所提出结构的机械性能。