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Anisotropy of multi-layered structure with sliding and bonded interlayer conditions

Frontiers of Structural and Civil Engineering volume 14, pages 632–645 (2020)Cite this article

Abstract

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.

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Acknowledgements

This study was funded by the National Natural Science Foundation of China (Grant Nos: 51278188, 50808077, and 51778224) and Project of Young Core Instructor Growth from Hunan Province of China. The first author also acknowledges the financial support from the China Scholarship Council (CSC) under No.201606130003. The authors are sincerely grateful for their financial support. The views and findings of this study represent those of the authors and may not reflect those of NSFC, Hunan University, and CSC.

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Authors and Affiliations

  1. College of Civil Engineering, Hunan University, Changsha, 410082, China

    Lingyun You, Kezhen Yan, Jianhong Man & Nengyuan Liu

  2. Department of Civil and Environmental Engineering, Michigan Technological University, Houghton, MI, 49931, USA

    Lingyun You

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  1. Lingyun You
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Correspondence to Kezhen Yan.

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You, L., Yan, K., Man, J. et al. Anisotropy of multi-layered structure with sliding and bonded interlayer conditions. Front. Struct. Civ. Eng. 14, 632–645 (2020). https://doi.org/10.1007/s11709-020-0617-4

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  • DOI: https://doi.org/10.1007/s11709-020-0617-4

Keywords

  • multi-layered structure
  • Hankel transformation
  • anisotropic
  • transversely isotropic
  • interlayer condition
  • Gauss-Legendre quadrature

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