Analysis of dynamic response of two-dimensional orthotropic layered media with imperfect interfaces between layers

•An algorithm is proposed to analyze the Green's functions of two-dimensional layered media.•The dynamic displacement and stress responses of two-dimensional layered media are obtained.•The orthotropic property of layered media is considered.•The imperfect interface between the adjacent layers...

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Bibliographic Details
Published in:Applied Mathematical Modelling Vol. 101; pp. 171 - 194
Main Authors: Yang, Linqing, Guo, Chengchao, Cao, Dingfeng, Han, Zejun, Wang, Fuming
Format: Journal Article
Language:English
Published: New York Elsevier Inc 01.01.2022
Elsevier BV
Subjects:
Algorithms
Displacement
Domains
Dynamic response
Equations of state
Fourier transform
Fourier transforms
Imperfect interface
Interfaces
Interlayers
Layered medium
Media
Orthotropic
Plane strain
Precise integration algorithm
Two dimensional analysis
Wavelengths
Fourier transform
Layered medium
Orthotropic
Precise integration algorithm
Imperfect interface
ISSN:0307-904X, 1088-8691, 0307-904X
Online Access:Get full text
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Summary:•An algorithm is proposed to analyze the Green's functions of two-dimensional layered media.•The dynamic displacement and stress responses of two-dimensional layered media are obtained.•The orthotropic property of layered media is considered.•The imperfect interface between the adjacent layers is considered.•An extensive parameter analysis is conducted on the imperfect interface of the layered media. Although solving the dynamic response of layered media has always been a major concern in the engineering field, the problem of interlayer contact of layered media has seldom been addressed in the related studies. Thus, this paper proposes an algorithm to analyze the dynamic displacement and stress responses of two-dimensional layered media with imperfect interfaces between layers at an arbitrary point under time-harmonic loads. The Fourier transform was used to convert the dynamic equation of the generalized plane strain problem from the frequency-spatial domain to the frequency-wavenumber domain. In addition, combined with the introduction of dual variables, an integration algorithm with high precision was employed to solve the state equation. Based on the displacement response in the frequency-wavenumber domain, the dynamic displacement and stress responses at an arbitrary point were obtained using the inverse Fourier transform. This algorithm not only considers the transverse isotropic properties of layered media but also considers the contact problem at the interface between the adjacent layers of the layered media with different properties. In addition, the harmonic load can be applied to both the surface and inside of the medium. The accuracy of the proposed algorithm was verified by comparing the calculated data with the numerical results, and the influence of the imperfect interface parameters on the dynamic response of layered media was analyzed in detail. Finally, the mechanism of the impact of the imperfect interface between the layers on the dynamic displacement and stress responses of layered media was examined.
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ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2021.07.033