Computational Contact Mechanics

  • Peter Wriggers

Table of contents

  1. Front Matter
    Pages i-xii
  2. Peter Wriggers
    Pages 1-10
  3. Peter Wriggers
    Pages 11-29
  4. Peter Wriggers
    Pages 31-56
  5. Peter Wriggers
    Pages 57-67
  6. Peter Wriggers
    Pages 69-108
  7. Peter Wriggers
    Pages 109-156
  8. Peter Wriggers
    Pages 157-182
  9. Peter Wriggers
    Pages 183-224
  10. Peter Wriggers
    Pages 225-307
  11. Peter Wriggers
    Pages 309-364
  12. Peter Wriggers
    Pages 365-389
  13. 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.


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

Authors and affiliations

  • Peter Wriggers
    • 1
  1. 1.Institute of Mechanics and Computational MechanicsUniversity of HannoverHannoverGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-32608-3
  • Online ISBN 978-3-540-32609-0
  • Buy this book on publisher's site