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Article: Nonlinear contact force law for spherical indentation of FGM coated elastic substrate: An extension of Hertz’s solution

TitleNonlinear contact force law for spherical indentation of FGM coated elastic substrate: An extension of Hertz’s solution
Authors
KeywordsContact force law
Coated materials
Functionally graded material (FGM)
Rough surface
Spherical indentation
Issue Date2020
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal of Solids and Structures, 2020, v. 191-192, p. 550-565 How to Cite?
AbstractThis paper develops a nonlinear contact force law for the indentation of an elastic substrate with thin functionally graded material (FGM) coating by a rigid smooth sphere. The nonlinear contact force law is explicitly expressed in form of extended Hertz’s solution with a correction factor, which is related to the coating thickness, radius of the indenter, contact interference and the modulus ratio. The explicit expres- sion of the correction factor for arbitrary coating modulus gradation can be determined statistically with extensive numerical results. For computational efficiency and accuracy, an analytical contact model based on multilayered half space is developed and the associated mixed boundary value problem is converted to a Fredholm integral equation of the second kind. This model discretizes the thin FGM coating into n dissimilar and fully bonded sub-layers. Each sub-layer is a homogeneous elastic seam of finite thick- ness and constant elastic modulus and Poisson’s ratio. Variation of the coating elastic properties along the thickness direction is accurately approximated by the multilayered system. The non-linear contact force laws in closed-form are specifically given for both linear and exponential modulus gradations. The load-displacement relations predicted by these force laws are shown to be in exact agreement with the numerical results from the Fredholm integral equation. Additionally, this nonlinear contact force law for FGM coating is further incorporated into the Greenwood and Williamson model, which provides a feasible and effective way for modeling the contact of FGM coated rough surfaces.
Persistent Identifierhttp://hdl.handle.net/10722/287349
ISSN
2019 Impact Factor: 3.213
2015 SCImago Journal Rankings: 1.597

 

DC FieldValueLanguage
dc.contributor.authorCHEN, XW-
dc.contributor.authorYue, ZQ-
dc.date.accessioned2020-09-22T02:59:42Z-
dc.date.available2020-09-22T02:59:42Z-
dc.date.issued2020-
dc.identifier.citationInternational Journal of Solids and Structures, 2020, v. 191-192, p. 550-565-
dc.identifier.issn0020-7683-
dc.identifier.urihttp://hdl.handle.net/10722/287349-
dc.description.abstractThis paper develops a nonlinear contact force law for the indentation of an elastic substrate with thin functionally graded material (FGM) coating by a rigid smooth sphere. The nonlinear contact force law is explicitly expressed in form of extended Hertz’s solution with a correction factor, which is related to the coating thickness, radius of the indenter, contact interference and the modulus ratio. The explicit expres- sion of the correction factor for arbitrary coating modulus gradation can be determined statistically with extensive numerical results. For computational efficiency and accuracy, an analytical contact model based on multilayered half space is developed and the associated mixed boundary value problem is converted to a Fredholm integral equation of the second kind. This model discretizes the thin FGM coating into n dissimilar and fully bonded sub-layers. Each sub-layer is a homogeneous elastic seam of finite thick- ness and constant elastic modulus and Poisson’s ratio. Variation of the coating elastic properties along the thickness direction is accurately approximated by the multilayered system. The non-linear contact force laws in closed-form are specifically given for both linear and exponential modulus gradations. The load-displacement relations predicted by these force laws are shown to be in exact agreement with the numerical results from the Fredholm integral equation. Additionally, this nonlinear contact force law for FGM coating is further incorporated into the Greenwood and Williamson model, which provides a feasible and effective way for modeling the contact of FGM coated rough surfaces.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr-
dc.relation.ispartofInternational Journal of Solids and Structures-
dc.subjectContact force law-
dc.subjectCoated materials-
dc.subjectFunctionally graded material (FGM)-
dc.subjectRough surface-
dc.subjectSpherical indentation-
dc.titleNonlinear contact force law for spherical indentation of FGM coated elastic substrate: An extension of Hertz’s solution-
dc.typeArticle-
dc.identifier.emailYue, ZQ: yueqzq@hku.hk-
dc.identifier.authorityYue, ZQ=rp00209-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.ijsolstr.2019.12.016-
dc.identifier.scopuseid_2-s2.0-85077756402-
dc.identifier.hkuros314172-
dc.identifier.volume191-192-
dc.identifier.spage550-
dc.identifier.epage565-
dc.publisher.placeUnited Kingdom-

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