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Numerics of Unilateral Contacts and Friction

Modeling and Numerical Time Integration in Non-Smooth Dynamics

  • Book
  • © 2009

Overview

Authors:
  1. Christian Studer

    1. IMES-Center of Mechanics, ETH Zurich , Zurich, Switzerland

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  • Gives an excellent overview on well established methods in non-smooth mechanics
  • Broad treatment of the subject including modeling, and evaluation of the contact problem, numerical time integration and implementation
  • Closes a gap between highly specialized mathematical literature and engineering application

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 47)

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Table of contents (8 chapters)

  1. Front Matter

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  2. Introduction

    • Christian Studer
    Pages 1-8

  3. Mathematical Preliminaries

    • Christian Studer
    Pages 9-16

  4. Non-Smooth Mechanics

    • Christian Studer
    Pages 17-30

  5. Inclusion Problems

    • Christian Studer
    Pages 31-58

  6. Time-Stepping

    • Christian Studer
    Pages 59-97

  7. Augmented Time-Stepping by Step Size Adjustment and Extrapolation

    • Christian Studer
    Pages 99-127

  8. The dynamY Software

    • Christian Studer
    Pages 129-159

  9. Summary

    • Christian Studer
    Pages 161-164

  10. Back Matter

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Keywords

About this book

Mechanics provides the link between mathematics and practical engineering app- cations. It is one of the oldest sciences, and many famous scientists have left and will leave their mark in this fascinating ?eld of research. Perhaps one of the most prominentscientists in mechanics was Sir Isaac Newton, who with his “laws of - tion” initiated the description of mechanical systems by differential equations. And still today, more than 300 years after Newton, this mathematical concept is more actual than ever. The rising computer power and the development of numerical solvers for diff- ential equations allowed engineersall over the world to predict the behavior of their physical systems fast and easy in an numerical way. And the trend to computational simulation methods is still further increasing, not only in mechanics, but practically in all branches of science. Numerical simulation will probablynot solve the world’s engineering problems, but it will help for a better understanding of the mechanisms of our models.

Reviews

From the reviews:

“The present book is a continuation of results of smooth mechanics to non-smooth mechanics, introduced by Jean Jacques Moreau in the late 1980’s. … The motivation for writing this book is to bring numerical time integrators for the dynamics of non-smooth mechanics. The aim of the author is to close the gap between mathematical theories in non-smooth mechanics and their applications in practice and corresponding software codes. … the book under review represents the interesting contribution to the practical computational mechanics.” (Jiří Nedoma, Mathematical Reviews, Issue 2011 j)

Authors and Affiliations

  • IMES-Center of Mechanics, ETH Zurich , Zurich, Switzerland

    Christian Studer

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