Numerical Methods in Contact Mechanics (PDF)

Computational contact mechanics is a broad topic which brings
together algorithmic, geometrical, optimization and numerical
aspects for a robust, fast and accurate treatment of contact
problems.

This book covers all the basic ingredients of contact and
computational contact mechanics: from efficient contact detection
algorithms and classical optimization methods to new developments
in contact kinematics and resolution schemes for both sequential
and parallel computer architectures. The book is self-contained and
intended for people working on the implementation and improvement
of contact algorithms in a finite element software.

Using a new tensor algebra, the authors introduce some original
notions in contact kinematics and extend the classical formulation
of contact elements. Some classical and new resolution methods for
contact problems and associated ready-to-implement expressions are
provided.

Contents:

1. Introduction to Computational Contact.

2. Geometry in Contact Mechanics.

3. Contact Detection.

4. Formulation of Contact Problems.

5. Numerical Procedures.

6. Numerical Examples.

About the Authors

Vladislav A. Yastrebov is a postdoctoral-fellow in Computational
Solid Mechanics at MINES ParisTech in France. His work in
computational contact mechanics was recognized by the CSMA award
and by the Prix Paul Caseau of the French Academy of Technology and
Electricité de France.