An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer

Gennaro Vitucci; Ivan Argatov; Gennady Mishuris

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arXiv · 1511.09379

An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer

Gennaro Vitucci·Ivan Argatov·Gennady Mishuris

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Abstract

In the present paper, an asymptotic model is constructed for the short-time deformation of an articular cartilage layer modeled as transversely isotropic, transversely homogeneous (TITH) biphasic material. It is assumed that the layer thickness is relatively small compared with the characteristic size of the normal surface load applied to the upper surface of the cartilage layer, while the bottom surface is assumed to be firmly attached to a rigid impermeable substrate. In view of applications to articular contact problems it is assumed that the interstitial fluid is not allowed to escape through the articular surface.

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Gennaro Vitucci, Ivan Argatov, Gennady Mishuris. 2015-11-09. An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer. https://arxiv.org/abs/1511.09379

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