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dc.contributor.author Ivan en_US
dc.contributor.author Gennady en_US
dc.date.accessioned 2012-05-21T15:35:38Z
dc.date.available 2012-05-21T15:35:38Z
dc.date.issued 2012-05-21 en_US
dc.identifier http://dx.doi.org/10.1016/j.mechrescom.2011.07.009 en_US
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_US
dc.identifier.other PURE: 176152 en_US
dc.identifier.other dspace: 2160/7834 en_US
dc.identifier.uri http://hdl.handle.net/2160/7834
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_US
dc.format.extent 4 en_US
dc.relation.ispartof Mechanics Research Communications en_US
dc.subject Rebound indentation test en_US
dc.subject Cartilage layer en_US
dc.subject Viscoelastic contact problem en_US
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_US
dc.contributor.pbl Institute of Mathematics & Physics (ADT) en_US
dc.contributor.pbl Mathematical Modelling of Structures, Solids and Fluids en_US


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