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  • © 2006

Computational Contact Mechanics

Authors:

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  • At the cutting edge of an area of significant (and growing) interest in computational mechanics

  • Covers the theoretical background of simulations and discusses modern numerical simulation methods

  • For the second edition, illustrative simplified approaches and new formulations are added

  • Includes supplementary material: sn.pub/extras

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eBook
USD 189.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-32609-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 249.99
Price excludes VAT (USA)
Hardcover Book
USD 249.99
Price excludes VAT (USA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xii
  2. Introduction

    • Peter Wriggers
    Pages 1-10
  3. Introduction to Contact Mechanics

    • Peter Wriggers
    Pages 11-29
  4. Continuum Solid Mechanics and Weak Forms

    • Peter Wriggers
    Pages 31-56
  5. Contact Kinematics

    • Peter Wriggers
    Pages 57-67
  6. Constitutive Equations for Contact Interfaces

    • Peter Wriggers
    Pages 69-108
  7. Contact Boundary Value Problem and Weak Form

    • Peter Wriggers
    Pages 109-156
  8. Discretization of the Continuum

    • Peter Wriggers
    Pages 157-182
  9. Discretization, Small Deformation Contact

    • Peter Wriggers
    Pages 183-224
  10. Discretization, Large Deformation Contact

    • Peter Wriggers
    Pages 225-307
  11. Solution Algorithms

    • Peter Wriggers
    Pages 309-364
  12. Thermo-mechanical Contact

    • Peter Wriggers
    Pages 365-389
  13. Beam Contact

    • Peter Wriggers
    Pages 391-409
  14. Back Matter

    Pages 473-518

About this book

This is the second edition of the valuable reference source for numerical simulations of contact mechanics suitable for many fields like civil engineering, car design, aeronautics, metal forming, or biomechanics.

Boundary value problems involving contact are of great importance in industrial applications in engineering such as bearings, metal forming processes, rubber seals, drilling problems, crash analysis of cars, rolling contact between car tires and the road, cooling of electronic devices... Other applications are related to biomechanical engineering design where human joints, implants or teeth are of consideration. Due to this variety, contact problems are today combined either with large elastic or inelastic deformations including time dependent responses. Thermal coupling also might have to be considered. Even stability behaviour has to be linked to contact.

The topic of computational contact is described in depth providing an up-to-date treatment of different formulations, algorithms and discretisation techniques for contact problems which are established in the geometrically linear and nonlinear range. This book provides the necessary continuum mechanics background which includes the derivation of the contact constraints. Constitutive equations stemming from tribology which are valid at the contact interface are discussed in detail. Discretization schemes for small and finite deformations are discussed in depth. Solid and beam contact is considered as well as contact of unstable systems and thermomechanical contact. The algorithmic side covers a broad range of solution methods. Additionally adaptive discretisation techniques for contact analysis are presented as a modern tool for engineering design simulations.

The present text book is written for graduate, Masters and PhD students, but also for engineers in industry, who have to simulate contact problems in practical application and wish to understand the theoretical and algorithmic background of contact treatment in modern finite element systems.

For this second edition, illustrative simplified examples and new discretisation schemes as well as adaptive procedures for coupled problems are added.

Keywords

  • Adaptive Finite Elements
  • Complex Geometries
  • Finite Elements
  • Numerical Simulations
  • Simulation
  • biomechanics
  • design
  • mechanical engineering
  • mechanics

Reviews

From the reviews of the second edition:

"The book is not simply a monograph reviewing the author’s distinguished research career, but a true textbook covering the research of the major players in computational contact mechanics over the last 25 years and offers an extensive list of references. … If I were given the opportunity to teach an advanced special topics course on finite element methods, I wouldn’t hesitate to use this book. For a researcher … the text provides an excellent review." (David J. Benson, SIAM Review, Vol. 49 (2), 2007)

Authors and Affiliations

  • Institute of Mechanics and Computational Mechanics, University of Hannover, Hannover, Germany

    Peter Wriggers

About the author

Peter Wriggers is the internationally most rocognised German scientist in the field of computer-based structural mechanics.

Bibliographic Information

Buying options

eBook
USD 189.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-32609-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 249.99
Price excludes VAT (USA)
Hardcover Book
USD 249.99
Price excludes VAT (USA)