A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY

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dc.contributor.author Walton, Jay R.
dc.contributor.author Zemlyanova, Anna Y.
dc.date.accessioned 2016-09-20T17:21:51Z
dc.date.available 2016-09-20T17:21:51Z
dc.date.issued 2016-03-17
dc.identifier.uri http://hdl.handle.net/2097/33984
dc.description Citation: Walton, J. R., & Zemlyanova, A. Y. (2016). A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY. Siam Journal on Applied Mathematics, 76(2), 618-640. doi:10.1137/15m1044096
dc.description.abstract It has been shown that taking into account surface mechanics is extremely important for accurate modeling of many physical phenomena such as those arising in nanoscience, fracture propagation, and contact mechanics. This paper is dedicated to a contact problem of a rigid stamp indentation into an elastic isotropic semiplane with curvature-dependent surface tension acting on the boundary of the semiplane. Cases of both frictionless and adhesive contact of the stamp with the boundary of the semiplane are considered. Using the method of integral transforms, each problem is reduced to a system of singular integro-differential equations, which is further reduced to one or two weakly singular integral equations. It has been shown that the introduction of the curvature-dependent surface tension eliminates the classical singularities of the order 1/2 of the stresses and strains at the end-points of the contact interval. The numerical solution of the problem is obtained by approximation of unknown functions with Taylor polynomials.
dc.relation.uri https://doi.org/10.1137/15m1044096
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Surface Tension
dc.subject Surface Elasticity
dc.subject Contact Problems
dc.subject Integral
dc.subject Equations
dc.subject Microstructure
dc.title A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY
dc.type Article
dc.date.published 2016
dc.citation.doi 10.1137/15m1044096
dc.citation.epage 640
dc.citation.issn 0036-1399
dc.citation.issue 2
dc.citation.jtitle Siam Journal on Applied Mathematics
dc.citation.spage 618
dc.citation.volume 76
dc.citation Walton, J. R., & Zemlyanova, A. Y. (2016). A RIGID STAMP INDENTATION INTO A SEMIPLANE WITH A CURVATURE-DEPENDENT SURFACE TENSION ON THE BOUNDARY. Siam Journal on Applied Mathematics, 76(2), 618-640. doi:10.1137/15m1044096
dc.contributor.authoreid azem


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This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Except where otherwise noted, the use of this item is bound by the following: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

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