Contact Mechanics of Articular Cartilage Layers

Asymptotic Models

  • Ivan Argatov
  • Gennady Mishuris

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

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Ivan Argatov, Gennady Mishuris
    Pages 1-18
  3. Ivan Argatov, Gennady Mishuris
    Pages 99-147
  4. Ivan Argatov, Gennady Mishuris
    Pages 203-228
  5. Ivan Argatov, Gennady Mishuris
    Pages 229-259
  6. Ivan Argatov, Gennady Mishuris
    Pages 261-291
  7. Ivan Argatov, Gennady Mishuris
    Pages 293-330
  8. Back Matter
    Pages 331-335

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.


Articular Contact Asymptotic Modeling Biphasic Material Cartilage Layers Elliptical contact Frictionless Contact SeTransversely Isotropic Sensitivity Analysis Thin Layers Tibio-Femoral Contact

Authors and affiliations

  • Ivan Argatov
    • 1
  • Gennady Mishuris
    • 2
  1. 1.Department of Mathematics, Aberystwyth University, AberystwythCeredigion SY23 3BZUnited Kingdom
  2. 2.Department of Mathematics, Aberystwyth University, AberystwythCeredigion SY23 3BZUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-20082-8
  • Online ISBN 978-3-319-20083-5
  • Series Print ISSN 1869-8433
  • Series Online ISSN 1869-8441
  • Buy this book on publisher's site