An analytical solution for a linear viscoelastic layer loaded with a cylindrical punch: Evaluation of the rebound indentation test with application for assessing viability of articular cartilage

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dc.contributor.author Argatov, Ivan
dc.contributor.author Mishuris, Gennady
dc.date.accessioned 2012-05-21T15:35:38Z
dc.date.available 2012-05-21T15:35:38Z
dc.date.issued 2012-05-21
dc.identifier.citation Argatov , I & Mishuris , G 2012 , ' An analytical solution for a linear viscoelastic layer loaded with a cylindrical punch: Evaluation of the rebound indentation test with application for assessing viability of articular cartilage ' Mechanics Research Communications , vol 38 , no. 8 , pp. 565-568 . , 10.1016/j.mechrescom.2011.07.009 en
dc.identifier.other PURE: 176152
dc.identifier.other dspace: 2160/7834
dc.identifier.uri http://hdl.handle.net/2160/7834
dc.description Argatov I.; Mishuris G. (2011) An analytical solution for a linear viscoelastic layer loaded with a cylindrical punch: Evaluation of the rebound indentation test with application for assessing viability of articular cartilage. Mechanics Research Communications. 38(8),565-568 en
dc.description.abstract A general closed-form solution for the so-called rebound indentation test' is obtained for a cylindrical flat-ended punch indenting a linear viscoelastic layer lying on a rigid substrate. Under the assumption of time-independent Poisson's ratio, we derive closed-form analytical expressions for the contact force (in a displacement controlled regime) and for the indentation displacement (in a load-controlled regime) and we consider in detail the case of standard viscoelastic solid. Our results indicate that the rebound displacement (in other words the indentation displacement in the load-controlled stage) is independent of the relaxed elastic modulus and Poisson's ratio, and also of the layer's thickness. Our analytical solution can be used for layered samples of arbitrary materials exhibiting viscoelastic properties: however, since the rebound indentation test has been recently suggested for assessing the viability of biomedical materials, we have applied our theoretical framework to the identification of materials parameters from experiments on articular cartilage. In this context, we have found a pretty good agreement for the rebound deformation, even until the strain becomes relatively large. en
dc.format.extent 4 en
dc.language.iso eng
dc.relation.ispartof Mechanics Research Communications en
dc.subject Rebound indentation test en
dc.subject Cartilage layer en
dc.subject Viscoelastic contact problem en
dc.title An analytical solution for a linear viscoelastic layer loaded with a cylindrical punch: Evaluation of the rebound indentation test with application for assessing viability of articular cartilage en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1016/j.mechrescom.2011.07.009
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en


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