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Nonconvex Optimization in Mechanics

Algorithms, Heuristics and Engineering Applications by the F.E.M.

  • E. S. Mistakidis
  • G. E. Stavroulakis

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 21)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Nonconvexity in Engineering Applications

    1. Front Matter
      Pages 1-1
    2. E. S. Mistakidis, G. E. Stavroulakis
      Pages 3-21
  3. Applied Nonconvex Optimization Background

    1. Front Matter
      Pages 23-23
    2. E. S. Mistakidis, G. E. Stavroulakis
      Pages 25-67
  4. Superpotential Modelling and Optimization in Mechanics with and without Convexity and Smoothness

    1. Front Matter
      Pages 69-69
    2. E. S. Mistakidis, G. E. Stavroulakis
      Pages 71-117
    3. E. S. Mistakidis, G. E. Stavroulakis
      Pages 119-158
    4. E. S. Mistakidis, G. E. Stavroulakis
      Pages 159-173
  5. Computational Mechanics. Computer Implementation, Applications and Examples

    1. Front Matter
      Pages 175-175
    2. E. S. Mistakidis, G. E. Stavroulakis
      Pages 177-217
    3. E. S. Mistakidis, G. E. Stavroulakis
      Pages 219-282
  6. Back Matter
    Pages 283-288

About this book

Introduction

Nonconvexity and nonsmoothness arise in a large class of engineering applica­ tions. In many cases of practical importance the possibilities offered by opti­ mization with its algorithms and heuristics can substantially improve the per­ formance and the range of applicability of classical computational mechanics algorithms. For a class of problems this approach is the only one that really works. The present book presents in a comprehensive way the application of opti­ mization algorithms and heuristics in smooth and nonsmooth mechanics. The necessity of this approach is presented to the reader through simple, represen­ tative examples. As things become more complex, the necessary material from convex and nonconvex optimization and from mechanics are introduced in a self-contained way. Unilateral contact and friction problems, adhesive contact and delamination problems, nonconvex elastoplasticity, fractal friction laws, frames with semi­ rigid connections, are among the applications which are treated in details here. Working algorithms are given for each application and are demonstrated by means of representative examples. The interested reader will find helpful references to up-to-date scientific and technical literature so that to be able to work on research or engineering topics which are not directly covered here.

Keywords

algorithm algorithms civil engineering design development engineering mechanics geometry mechanics modeling optimization plasticity

Authors and affiliations

  • E. S. Mistakidis
    • 1
  • G. E. Stavroulakis
    • 2
  1. 1.Institute of Steel Structures, Department of Civil EngineeringAristotle UniversityThessalonikiGreece
  2. 2.Institute of Applied Mechanics, Department of Civil EngineeringCarolo Wilhelmina Technical UniversityBraunschweigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4615-5829-3
  • Copyright Information Springer-Verlag US 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7672-9
  • Online ISBN 978-1-4615-5829-3
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site
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