Show simple item record Vitucci, Gennaro Mishuris, Gennady 2017-04-20T22:07:16Z 2017-04-20T22:07:16Z 2017-04-12
dc.identifier.citation Vitucci , G & Mishuris , G 2017 , ' Three-dimensional contact of transversely isotropic transversely homogeneous cartilage layers : A closed-form solution ' European Journal of Mechanics - A/Solids , vol 65 , pp. 195-204 . DOI: 10.1016/j.euromechsol.2017.04.004 en
dc.identifier.issn 0997-7538
dc.identifier.other PURE: 11251388
dc.identifier.other PURE UUID: 3b2bce70-b31a-48e3-8f08-fa1b7677e777
dc.identifier.other Scopus: 85018644592
dc.description This is the author accepted manuscript. The final version is available from Elsevier via en
dc.description.abstract Inhomogeneity and anisotropy play a crucial role in attributing articular cartilage its properties. The frictionless contact involves two thin biphasic transversely isotropic transversely homogeneous (TITH) cartilage layers firmly attached onto rigid substrates and shaped as elliptic paraboloids of different radii. Using asymptotic techniques, a solution to the deformation problem of such material has been recently obtained extending previous ones referred to homogeneous materials. The layer itself is thin in comparison with the size of the contact area and the observed time is shorter than the hydrogel characteristic time. The emerging three-dimensional contact problem is solved in closed-form and numerical benchmarks for constant and oscillating loads are given. The results are shown in terms of contact pressure and approach of the bones. The latter is derived to be directly proportional to the contact area. Existing experimental data are reinterpreted in view of the current model formulation. Comparisons are made with existing solutions for homogeneous biphasic materials in order to underline the functional importance of inhomogeneity in spreading the contact pressure distribution across the contact area. Particular attention is paid to the applicability of the retrieved formulas for interpreting measurements of in vivo experiments. Future directions are also prospected en
dc.language.iso eng
dc.relation.ispartof European Journal of Mechanics - A/Solids en
dc.rights en
dc.subject articular cartilage en
dc.subject contact mechanics en
dc.subject transversely isotropic transversely homogeneous en
dc.subject biphasic biological tissue en
dc.subject asymptotic analysis en
dc.title Three-dimensional contact of transversely isotropic transversely homogeneous cartilage layers : A closed-form solution en
dc.type /dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article en
dc.description.version authorsversion en
dc.contributor.institution Department of Mathematics en
dc.description.status Peer reviewed en 12-04-20

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