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Computational Contact Mechanics

  • Book
  • © 2006

Overview

Authors:
  1. Peter Wriggers

    1. Institute of Mechanics and Computational Mechanics, University of Hannover, Hannover, Germany

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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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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xii
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  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. Computation of Critical Points with Contact Constraints

    • Peter Wriggers
    Pages 411-421

  15. Adaptive Finite Element Methods for Contact Problems

    • Peter Wriggers
    Pages 423-471

  16. Back Matter

    Pages 473-518
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Keywords

About this book

Contact mechanics has its application in many engineering problems. No one can walk without frictional contact, and no car would move for the same r- son. Hence contact mechanics has, from an engineering point of view, a long history, beginning in ancient Egypt with the movement of large stone blocks, over ?rst experimental contributions from leading scientists like Leonardo da Vinci andCoulomb, to today’s computational methods. In the past c- tact conditions were often modelled in engineering analysis by more simple boundary conditions since analytical solutions were not present for real world applications. In such cases, one investigated contact as a local problem using the stress and strain ?elds stemming from the analysis which was performed for the entire structure. With the rapidly increasing power of moderncomp- ers, more and more numerical simulations in engineering can include contact constraints directly, which make the problems nonlinear. This book is an account of the modern theory of nonlinear continuum mechanics and its application to contact problems, as well as of modern s- ulation techniques for contact problems using the ?nite element method. The latter includes a variety of discretization techniques for small and large def- mation contact. Algorithms play another prominent role whenrobustand- cient techniques have to be designed for contact simulations. Finally, adaptive methods based on error controlled ?nite element analysis and mesh adaption techniques are of great interest for the reliable numerical solution of contact problems.

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.

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