An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer. (28th February 2016)

• Record Type: Journal Article
• Authors: Vitucci, G.; Argatov, I.; Mishuris, G.
• Other Names: Sevostianov Igor guestEditor.; Rodriguez‐Ramos Reinaldo guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 9(2017)
• Page Start: 3333
• Page End: 3347
• Publication Date: 2016-02-28
• Subjects: thin layer -- articular cartilage -- asymptotic model -- biphasic inhomogeneous anisotropic material; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3895
• Languages: English
• ISSNs: 0170-4214

Abstract

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 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. Copyright © 2016 John Wiley & Sons, Ltd.