Boussinesq problem of a Burgers viscoelastic layer on an elastic substrate

Yu Hsiang Chen; Yunfei Jia; Fuqian Yang; Chien Chao Huang; Sanboh Lee

doi:10.1016/j.mechmat.2015.03.011

Boussinesq problem of a Burgers viscoelastic layer on an elastic substrate

Yu Hsiang Chen, Yunfei Jia, Fuqian Yang, Chien Chao Huang, Sanboh Lee

Chemical and Materials Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Viscoelastic problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space is analyzed. The Burgers (four elements) model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact conditions between the viscoelastic layer and the elastic substrate; one is perfect bonding, and the other is frictionless contact. Using the Hankel transform, analytical expressions of the displacement and stress components in the bilayer structure are derived. The numerical results illustrate the effect of the layer thickness and the mechanical properties of materials on the surface displacement at the center of the loading zone.

Original language	English
Pages (from-to)	27-39
Number of pages	13
Journal	Mechanics of Materials
Volume	87
DOIs	https://doi.org/10.1016/j.mechmat.2015.03.011
State	Published - Aug 1 2015

Bibliographical note

Funding Information:
This work was financially supported by the Ministry of Science and Technology, Taiwan.

Publisher Copyright:
© 2015 Published by Elsevier Ltd.

Keywords

Burgers model
Surface displacement
Surface loading
Viscoelastic layer

ASJC Scopus subject areas

Instrumentation
Materials Science (all)
Mechanics of Materials

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10.1016/j.mechmat.2015.03.011

Cite this

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title = "Boussinesq problem of a Burgers viscoelastic layer on an elastic substrate",

abstract = "Viscoelastic problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space is analyzed. The Burgers (four elements) model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact conditions between the viscoelastic layer and the elastic substrate; one is perfect bonding, and the other is frictionless contact. Using the Hankel transform, analytical expressions of the displacement and stress components in the bilayer structure are derived. The numerical results illustrate the effect of the layer thickness and the mechanical properties of materials on the surface displacement at the center of the loading zone.",

keywords = "Burgers model, Surface displacement, Surface loading, Viscoelastic layer",

author = "Chen, {Yu Hsiang} and Yunfei Jia and Fuqian Yang and Huang, {Chien Chao} and Sanboh Lee",

note = "Funding Information: This work was financially supported by the Ministry of Science and Technology, Taiwan. Publisher Copyright: {\textcopyright} 2015 Published by Elsevier Ltd.",

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doi = "10.1016/j.mechmat.2015.03.011",

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T1 - Boussinesq problem of a Burgers viscoelastic layer on an elastic substrate

AU - Chen, Yu Hsiang

AU - Jia, Yunfei

AU - Yang, Fuqian

AU - Huang, Chien Chao

AU - Lee, Sanboh

PY - 2015/8/1

Y1 - 2015/8/1

N2 - Viscoelastic problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space is analyzed. The Burgers (four elements) model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact conditions between the viscoelastic layer and the elastic substrate; one is perfect bonding, and the other is frictionless contact. Using the Hankel transform, analytical expressions of the displacement and stress components in the bilayer structure are derived. The numerical results illustrate the effect of the layer thickness and the mechanical properties of materials on the surface displacement at the center of the loading zone.

AB - Viscoelastic problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space is analyzed. The Burgers (four elements) model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact conditions between the viscoelastic layer and the elastic substrate; one is perfect bonding, and the other is frictionless contact. Using the Hankel transform, analytical expressions of the displacement and stress components in the bilayer structure are derived. The numerical results illustrate the effect of the layer thickness and the mechanical properties of materials on the surface displacement at the center of the loading zone.

KW - Burgers model

KW - Surface displacement

KW - Surface loading

KW - Viscoelastic layer

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DO - 10.1016/j.mechmat.2015.03.011

M3 - Article

AN - SCOPUS:84927920532

SN - 0167-6636

VL - 87

SP - 27

EP - 39

JO - Mechanics of Materials

JF - Mechanics of Materials

ER -

Boussinesq problem of a Burgers viscoelastic layer on an elastic substrate

Abstract

Bibliographical note

Keywords

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