An adhesive contact problem for an incompressible non-homogeneous elastic halfspace
In this paper, we examine the axisymmetric adhesive contact problem for a rigid circular plate and an incompressible elastic halfspace where the linear elastic shear modulus varies exponentially with depth. The analytical solution of the mixed boundary value problem entails a set of coupled integral...
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| Veröffentlicht in: | Acta mechanica 2015-02, Vol.226 (2), p.249-265 |
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| creator | Selvadurai, A. P. S. Katebi, A. |
| description | In this paper, we examine the axisymmetric adhesive contact problem for a rigid circular plate and an incompressible elastic halfspace where the linear elastic shear modulus varies exponentially with depth. The analytical solution of the mixed boundary value problem entails a set of coupled integral equations that cannot be solved easily by conventional integral transform techniques proposed in the literature. In this paper, we adopt a computational scheme where the contact normal and contact shear stress distributions are approximated by their discretized equivalents. The consideration of compatibility of deformations due to the indentation by a rigid indenter in adhesive contact gives a set of algebraic equations that yield the discretized equivalents of the contacts stresses and the axial stiffness of the medium. |
| doi_str_mv | 10.1007/s00707-014-1171-8 |
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The consideration of compatibility of deformations due to the indentation by a rigid indenter in adhesive contact gives a set of algebraic equations that yield the discretized equivalents of the contacts stresses and the axial stiffness of the medium.</description><identifier>ISSN: 0001-5970</identifier><identifier>EISSN: 1619-6937</identifier><identifier>DOI: 10.1007/s00707-014-1171-8</identifier><identifier>CODEN: AMHCAP</identifier><language>eng</language><publisher>Vienna: Springer Vienna</publisher><subject>Adhesion ; Adhesives ; Algebra ; Axisymmetric ; Boundary value problems ; Classical and Continuum Physics ; Contact ; Contact stresses ; Control ; Dynamical Systems ; Engineering ; Engineering Thermodynamics ; Equivalence ; Heat and Mass Transfer ; Indenters ; Mathematical analysis ; Mechanics ; Modulus of elasticity ; Solid Mechanics ; Theoretical and Applied Mechanics ; Vibration</subject><ispartof>Acta mechanica, 2015-02, Vol.226 (2), p.249-265</ispartof><rights>Springer-Verlag Wien 2014</rights><rights>COPYRIGHT 2015 Springer</rights><rights>Springer-Verlag Wien 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c487t-5c045ba81bfc39b47438d4c0672bff166d7799bfdfda21d3f8bfa7513338e2983</citedby><cites>FETCH-LOGICAL-c487t-5c045ba81bfc39b47438d4c0672bff166d7799bfdfda21d3f8bfa7513338e2983</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00707-014-1171-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00707-014-1171-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Selvadurai, A. 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| subjects | Adhesion Adhesives Algebra Axisymmetric Boundary value problems Classical and Continuum Physics Contact Contact stresses Control Dynamical Systems Engineering Engineering Thermodynamics Equivalence Heat and Mass Transfer Indenters Mathematical analysis Mechanics Modulus of elasticity Solid Mechanics Theoretical and Applied Mechanics Vibration |
| title | An adhesive contact problem for an incompressible non-homogeneous elastic halfspace |
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