Skip to main content
SpringerLink
Log in

Nonconvex Optimization in Mechanics

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

  • Book
  • © 1998

Overview

Authors:
  1. E. S. Mistakidis

    1. Institute of Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. G. E. Stavroulakis

    1. Institute of Applied Mechanics, Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Nonconvexity in Engineering Applications

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Nonconvexity in Engineering Applications

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 3-21

  3. Applied Nonconvex Optimization Background

    1. Front Matter

      Pages 23-23
      Download chapter PDF

    2. Applied Nonconvex Optimization Background

      • 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
      Download chapter PDF

    2. Convex Superpotential Problems. Variational Equalities and Inequalities

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 71-117

    3. Nonconvex Superpotential Problems. Variational and Hemivariational Inequalities

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 119-158

    4. Optimal Design Problems

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 159-173

  5. Computational Mechanics. Computer Implementation, Applications and Examples

    1. Front Matter

      Pages 175-175
      Download chapter PDF

    2. Computational Mechanics Algorithms

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 177-217

    3. Applications

      • E. S. Mistakidis, G. E. Stavroulakis
      Pages 219-282

  6. Back Matter

    Pages 283-288
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

`... The book is well written and organized. It presents an important contribution to the growing field of nonsmooth, nonconvex computational mechanics and engineering. The large number of algorithms and heuristics for nonsmooth optimization problems and the many examples give a comprehensive overview of this field.'
Pekka Neittaanmaki in Mathematical Reviews, 99b:73032
`... The publication of this book ... is a timely and authoritative introduction to the engineering applications of non-smooth/non-convex mechanics. Written by two relatively young experts in both applied mathematics and mechanics, this book presents both an excellent introduction and comprehensive applications for the wide range of non-smooth/non-convex engineering problems with emphasis on numerical optimization and computational mechanics. ... The publication of this book is definitely an important step in the development of non-smooth/non-convex mechanics ...'
Manohar Kamat, David Yang Gao in Applied Mechanics Reviews, 52:6 (1999)
`... the authors, who are well-known active researchers in the field, should be congratulated for having tackled the above difficult, useful and timely task and for having achieved their goals to a large extent, and very successfully. ... this book represents, in my opinion, a noteworthy addition to the literature on engineering mechanics and on its mathematical and numerical methodologies. It is bound to be very useful to researchers, industrial analysts and graduate students alike, in mechanics of materials and structures.'
Giulio Maier in Meccanica, 34:4 (1999)

Authors and Affiliations

  • Institute of Steel Structures, Department of Civil Engineering, Aristotle University, Thessaloniki, Greece

    E. S. Mistakidis

  • Institute of Applied Mechanics, Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germany

    G. E. Stavroulakis

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation