A note on JKR and DMT theories of contact on a transversely isotropic half-space

Ludovic Espinasse; Leon Keer; Feodor Borodich; Hualong Yu; Q. Jane Wang

doi:10.1016/j.mechmat.2009.08.008

A note on JKR and DMT theories of contact on a transversely isotropic half-space

Ludovic Espinasse, Leon Keer^*, Feodor Borodich, Hualong Yu, Q. Jane Wang

^*Corresponding author for this work

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

16 Scopus citations

Abstract

In this paper the adhesive contact problem for transversely isotropic materials is discussed. A spherical contact on transversely isotropic, adhesive half-space is studied. Solving an equivalent external circular crack problem in a transversely isotropic body, the modified JKR and DMT theories are developed. The results show that the modified JKR and DMT contact theories for transversely isotropic materials have same form as JKR and DMT expressions for isotropic materials, except for the elastic constant K in the formula, which has a different expression for different materials.

Original language	English (US)
Pages (from-to)	477-480
Number of pages	4
Journal	Mechanics of Materials
Volume	42
Issue number	4
DOIs	https://doi.org/10.1016/j.mechmat.2009.08.008
State	Published - Apr 2010

Funding

Thanks are due to the Royal Society for funding the visit of L.M.K. to the University of Cardiff, during which the above work was initiated. F.M.B. and L.M.K. are grateful to the Leverhulme Trust for funding the International Network ADHESINT that enables them to continue their collaboration.

Keywords

Adhesion
DMT
JKR
Transversely isotropic half-space

ASJC Scopus subject areas

Instrumentation
General Materials Science
Mechanics of Materials

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10.1016/j.mechmat.2009.08.008

Cite this

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title = "A note on JKR and DMT theories of contact on a transversely isotropic half-space",

abstract = "In this paper the adhesive contact problem for transversely isotropic materials is discussed. A spherical contact on transversely isotropic, adhesive half-space is studied. Solving an equivalent external circular crack problem in a transversely isotropic body, the modified JKR and DMT theories are developed. The results show that the modified JKR and DMT contact theories for transversely isotropic materials have same form as JKR and DMT expressions for isotropic materials, except for the elastic constant K in the formula, which has a different expression for different materials.",

keywords = "Adhesion, DMT, JKR, Transversely isotropic half-space",

author = "Ludovic Espinasse and Leon Keer and Feodor Borodich and Hualong Yu and {Jane Wang}, Q.",

note = "Funding Information: Thanks are due to the Royal Society for funding the visit of L.M.K. to the University of Cardiff, during which the above work was initiated. F.M.B. and L.M.K. are grateful to the Leverhulme Trust for funding the International Network ADHESINT that enables them to continue their collaboration. ",

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AU - Espinasse, Ludovic

AU - Keer, Leon

AU - Borodich, Feodor

AU - Yu, Hualong

AU - Jane Wang, Q.

N1 - Funding Information: Thanks are due to the Royal Society for funding the visit of L.M.K. to the University of Cardiff, during which the above work was initiated. F.M.B. and L.M.K. are grateful to the Leverhulme Trust for funding the International Network ADHESINT that enables them to continue their collaboration.

PY - 2010/4

Y1 - 2010/4

N2 - In this paper the adhesive contact problem for transversely isotropic materials is discussed. A spherical contact on transversely isotropic, adhesive half-space is studied. Solving an equivalent external circular crack problem in a transversely isotropic body, the modified JKR and DMT theories are developed. The results show that the modified JKR and DMT contact theories for transversely isotropic materials have same form as JKR and DMT expressions for isotropic materials, except for the elastic constant K in the formula, which has a different expression for different materials.

AB - In this paper the adhesive contact problem for transversely isotropic materials is discussed. A spherical contact on transversely isotropic, adhesive half-space is studied. Solving an equivalent external circular crack problem in a transversely isotropic body, the modified JKR and DMT theories are developed. The results show that the modified JKR and DMT contact theories for transversely isotropic materials have same form as JKR and DMT expressions for isotropic materials, except for the elastic constant K in the formula, which has a different expression for different materials.

KW - Adhesion

KW - DMT

KW - JKR

KW - Transversely isotropic half-space

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DO - 10.1016/j.mechmat.2009.08.008

M3 - Article

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JO - Mechanics of Materials

JF - Mechanics of Materials

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ER -

A note on JKR and DMT theories of contact on a transversely isotropic half-space

Abstract

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Keywords

ASJC Scopus subject areas

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