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Nonsmooth Mechanics of Solids

  • Jaroslav Haslinger
  • Georgios E. Stavroulakis

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 485)

About this book

Introduction

Mechanics have played an important role in mathematics, from infinitesimal calculus, calculus of variations, partial differential equations and numerical methods (finite elements). Originally, mechanics treated smooth objects. Technological progress has evoked the necessity to model and solve more complicated problems, like unilateral contact and friction, plasticity, delamination and adhesion, advanced materials, etc. The new tools include convex analysis, differential calculus for convex functions, and subgradients of convex functions and extensions for nonconvex problems. Nonsmooth mechanics is a relatively complex field, and requires a good knowledge of mechanics and a good background in some parts of modern mathematics. The present volume of lecture notes follows a very successful advanced school, with the aim to cover as much as possible all these aspects. Therefore the contributions cover mechanical aspects as well as the mathematical and numerical treatment.

Keywords

Calculus of Variations Extension calculus computational mechanics differential equation finite elements friction knowledge mathematics mechanics model numerical methods partial differential equation plasticity solids

Editors and affiliations

  • Jaroslav Haslinger
    • 1
  • Georgios E. Stavroulakis
    • 2
    • 3
  1. 1.Charles UniversityPragueCzech Republic
  2. 2.Technical University of CreteChaniaGreece
  3. 3.Technical University of BraunschweigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-211-48243-8
  • Copyright Information CISM 2006
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering
  • Print ISBN 978-3-211-48241-4
  • Online ISBN 978-3-211-48243-8
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site
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