Topology Optimization

Theory, Methods, and Applications

  • Martin P. Bendsøe
  • Ole Sigmund

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Martin P. Bendsøe, Ole Sigmund
    Pages 1-69
  3. Martin P. Bendsøe, Ole Sigmund
    Pages 71-158
  4. Martin P. Bendsøe, Ole Sigmund
    Pages 159-220
  5. Martin P. Bendsøe, Ole Sigmund
    Pages 221-259
  6. Martin P. Bendsøe, Ole Sigmund
    Pages 261-303
  7. Martin P. Bendsøe, Ole Sigmund
    Pages 305-318
  8. Back Matter
    Pages 319-370

About this book


The topology optimization method solves the basic engineering problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material. This edition has been substantially revised and updated to reflect progress made in modelling and computational procedures. It also encompasses a comprehensive and unified description of the state-of-the-art of the so-called material distribution method, based on the use of mathematical programming and finite elements. Applications treated include not only structures but also MEMS and materials.


Applied Mechanics Engineering Design Materials Mathematical Optimization Structural Structures Topological Topology design finite element method microelectromechanical system (MEMS) optimization programming

Authors and affiliations

  • Martin P. Bendsøe
    • 1
  • Ole Sigmund
    • 2
  1. 1.Department of MathematicsTechnical University of DenmarkLyngbyDenmark
  2. 2.Department of Mechanical Engineering, Solid MechanicsTechnical University of DenmarkLyngbyDenmark

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07698-5
  • Online ISBN 978-3-662-05086-6
  • Buy this book on publisher's site