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Contact Mechanics of Articular Cartilage Layers

Asymptotic Models

  • Book
  • © 2015

Overview

  • Presents a comprehensive and unifying approach to articular contact mechanics
  • Reviews the asymptotic analysis of the deformational behaviour of thin layers
  • Includes exact solutions for asymptotic models
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 50)

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Table of contents (9 chapters)

Keywords

About this book

This book presents a comprehensive and unifying approach to articular contact mechanics with an emphasis on frictionless contact interaction of thin cartilage layers. The first part of the book (Chapters 1–4) reviews the results of asymptotic analysis of the deformational behavior of thin elastic and viscoelastic layers. A comprehensive review of the literature is combined with the authors’ original contributions. The compressible and incompressible cases are treated separately with a focus on exact solutions for asymptotic models of frictionless contact for thin transversely isotropic layers bonded to rigid substrates shaped like elliptic paraboloids. The second part (Chapters 5, 6, and 7) deals with the non-axisymmetric contact of thin transversely isotropic biphasic layers and presents the asymptotic modelling methodology for tibio-femoral contact. The third part of the book consists of Chapter 8, which covers contact problems for thin bonded inhomogeneous transversely isotropic elastic layers and Chapter 9, which addresses various perturbational aspects in contact problems and introduces the sensitivity of articular contact mechanics.

This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics, and engineers interested and involved in the analysis and design of thin-layer structures.

Authors and Affiliations

  • Department of Mathematics, Aberystwyth University, Aberystwyth, Ceredigion SY23 3BZ, United Kingdom

    Ivan Argatov, Gennady Mishuris

Bibliographic Information

  • Book Title: Contact Mechanics of Articular Cartilage Layers

  • Book Subtitle: Asymptotic Models

  • Authors: Ivan Argatov, Gennady Mishuris

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-20083-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-20082-8Published: 25 June 2015

  • Softcover ISBN: 978-3-319-35644-0Published: 09 October 2016

  • eBook ISBN: 978-3-319-20083-5Published: 15 June 2015

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XVIII, 335

  • Number of Illustrations: 7 b/w illustrations, 46 illustrations in colour

  • Topics: Solid Mechanics, Biomaterials, Solid Mechanics

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