Boussinesq type solution for a viscoelastic thin film on an elastic substrate

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

doi:10.1016/j.ijmecsci.2016.08.009

Boussinesq type solution for a viscoelastic thin film on an elastic substrate

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

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

8 Scopus citations

Abstract

Understanding the deformation of solids under the action of surface loading plays an important role in experimentally characterizing the mechanical behavior of materials. Considering the role of a viscoelastic layer in controlling the deformation of a bilayer structure, we analyze the problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space. The standard linear solid model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact condition 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)	79-92
Number of pages	14
Journal	International Journal of Mechanical Sciences
Volume	117
DOIs	https://doi.org/10.1016/j.ijmecsci.2016.08.009
State	Published - Oct 1 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Ltd

Funding

This work was financially supported by the Ministry of Science and Technology, Taiwan. YFJ is grateful for the support provided by the Fundamental Research Funds for the Central Universities ( 22A201514024 ), China Postdoctoral Science Foundation ( 2015M581544 ), Shanghai Sailing Program ( 16YF1402300 ) and Open Project Program of Wuhan Institute of Technology ( 2015KA01 ).

Funders	Funder number
Shanghai Sailing Program	16YF1402300
China Postdoctoral Science Foundation	2015M581544
Ministry of Science and Technology, Taiwan
Wuhan Institute of Technology	2015KA01
Fundamental Research Funds for the Central Universities	22A201514024

Keywords

Analytical solution
Creep
Elastic material
Layered material
Viscoelastic material

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Aerospace Engineering
Ocean Engineering
Applied Mathematics
General Materials Science
Civil and Structural Engineering

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10.1016/j.ijmecsci.2016.08.009

Cite this

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title = "Boussinesq type solution for a viscoelastic thin film on an elastic substrate",

abstract = "Understanding the deformation of solids under the action of surface loading plays an important role in experimentally characterizing the mechanical behavior of materials. Considering the role of a viscoelastic layer in controlling the deformation of a bilayer structure, we analyze the problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space. The standard linear solid model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact condition 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 = "Analytical solution, Creep, Elastic material, Layered material, Viscoelastic material",

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

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd",

year = "2016",

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doi = "10.1016/j.ijmecsci.2016.08.009",

language = "English",

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T1 - Boussinesq type solution for a viscoelastic thin film on an elastic substrate

AU - Chen, Yu Hsiang

AU - Jia, Yunfei

AU - Yang, Fuqian

AU - Huang, Chien Chao

AU - Lee, Sanboh

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Understanding the deformation of solids under the action of surface loading plays an important role in experimentally characterizing the mechanical behavior of materials. Considering the role of a viscoelastic layer in controlling the deformation of a bilayer structure, we analyze the problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space. The standard linear solid model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact condition 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 - Understanding the deformation of solids under the action of surface loading plays an important role in experimentally characterizing the mechanical behavior of materials. Considering the role of a viscoelastic layer in controlling the deformation of a bilayer structure, we analyze the problem of normal stress acting on the surface of a viscoelastic layer on an elastic half-space. The standard linear solid model is used to describe the deformation behavior of the viscoelastic layer. Two limiting cases are considered for the contact condition 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 - Analytical solution

KW - Creep

KW - Elastic material

KW - Layered material

KW - Viscoelastic material

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M3 - Article

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EP - 92

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

Boussinesq type solution for a viscoelastic thin film on an elastic substrate

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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