An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer
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| Název: | An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer |
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| Autoři: | Vitucci G., Argatov I., Mishuris G. |
| Zdroj: | Mathematical Methods in the Applied Sciences |
| Publication Status: | Preprint |
| Informace o vydavateli: | Wiley, 2016. |
| Rok vydání: | 2016 |
| Témata: | thin layer, 0206 medical engineering, FOS: Physical sciences, Quantitative Biology - Tissues and Organs, asymptotic model, 02 engineering and technology, Condensed Matter - Soft Condensed Matter, Contact in solid mechanics, 03 medical and health sciences, 0302 clinical medicine, FOS: Biological sciences, Soft Condensed Matter (cond-mat.soft), Biomechanics, articular cartilage, biphasic inhomogeneous anisotropic material, Homogenization and oscillations in dynamical problems of solid mechanics, Tissues and Organs (q-bio.TO) |
| Popis: | 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. |
| Druh dokumentu: | Article |
| Popis souboru: | application/xml |
| Jazyk: | English |
| ISSN: | 1099-1476 0170-4214 |
| DOI: | 10.1002/mma.3895 |
| DOI: | 10.48550/arxiv.1511.09379 |
| Přístupová URL adresa: | http://arxiv.org/pdf/1511.09379 http://arxiv.org/abs/1511.09379 https://arxiv.org/pdf/1511.09379 http://ui.adsabs.harvard.edu/abs/2017MMAS...40.3333V/abstract https://onlinelibrary.wiley.com/doi/10.1002/mma.3895 |
| Rights: | Wiley Online Library User Agreement arXiv Non-Exclusive Distribution |
| Přístupové číslo: | edsair.doi.dedup.....90c8c9cfe087e95c5cc21befbb4b0f4c |
| Databáze: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | 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. |
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| ISSN: | 10991476 01704214 |
| DOI: | 10.1002/mma.3895 |