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

作　　者：Lingyun YOU Kezhen YAN Jianhong MAN Nengyuan LIU 

机构地区：[1]College of Civil Engineering,Hunan University,Changsha 410082,China [2]Department of Civil and Environmental Engineering,Michigan Technological University,Houghton,MI 49931,USA

出　　处：《Frontiers of Structural and Civil Engineering》2020年第3期632-645,共14页结构与土木工程前沿（英文版）

基　　金：This study was funded by the National Natural Science Foundation of China(Grant Nos:51278188,50808077,and 51778224);Project of Young Core Instructor Growth from Hunan Province of China;the financial support from the China Scholarship Council(CSC)under No.201606130003

摘　　要：A better understanding of the mechanical behavior of the multilayered structure under extermal loading is the most important item for the structural design and the risk asssment.The objective of this study are to propose and develop an analytical solution for the mechanical behaviors of multi-layered structure generated by axisy mmetric 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 goveming 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-Lcgendre 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.

关 键 词：multi-layered structure Hankel transformation anisotropic transversely isotropic interlayer condition Gauss-Legendre quadrature 

分 类 号：O17[理学—数学]