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Topology Optimization

Theory, Methods, and Applications

  • Book
  • © 2004

Overview

Authors:
  1. Martin P. Bendsøe

    1. Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

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  2. Ole Sigmund

    1. Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark

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    You can also search for this author in PubMed   Google Scholar

  • One of the most widely read books in the area of structural optimization
  • Describes the state of the art but can also serve as an introduction
  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Topology optimization by distribution of isotropic material

    • Martin P. Bendsøe, Ole Sigmund
    Pages 1-69

  3. Extensions and applications

    • Martin P. Bendsøe, Ole Sigmund
    Pages 71-158

  4. Design with anisotropic materials

    • Martin P. Bendsøe, Ole Sigmund
    Pages 159-220

  5. Topology design of truss structures

    • Martin P. Bendsøe, Ole Sigmund
    Pages 221-259

  6. Appendices

    • Martin P. Bendsøe, Ole Sigmund
    Pages 261-303

  7. Bibliographical notes

    • Martin P. Bendsøe, Ole Sigmund
    Pages 305-318

  8. Back Matter

    Pages 319-370
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Keywords

About this book

"The art of structure is where to put the holes" Robert Le Ricolais, 1894-1977 This is a completely revised, updated and expanded version of the book titled "Optimization of Structural Topology, Shape and Material" (Bends0e 1995). The field has since then developed rapidly with many new contributions to theory, computational methods and applications. This has that a simple editing of Bends0e (1995) had to be superseded by what meant is to a large extent a completely new book, now by two authors. This work is an attempt to provide a unified presentation of methods for the optimal design of topology, shape and material for continuum and discrete structures. The emphasis is on the now matured techniques for the topology design of continuum structures and its many applications that have seen the light of the day since the first monograph appeared. The technology is now well established and designs obtained with the use of topology optimization methods are in production on a daily basis. The efficient use of materials is important in many different settings. The aerospace industry and the automotive industry, for example, apply sizing and shape optimization to the design of structures and mechanical elements.

Reviews

From the reviews of the second edition:

"The book consists of two parts. The first part deals with the topology design within the framework of searching for optimum ‘classical designs’ for isotropic materials … . The second part concentrates on compliance design … . The book is accessible to the novice and expert, alike, and can be used by students, engineers and scientists working in aerospace, automotive, and mechanical and civil engineering." (Stefan Jendo, Zentralblatt MATH, Vol. 1059 (10), 2005)

"This is a ‘practical’ book. Apart from mathematical models, it includes the necessary computational procedures, verified by extensive practical experience. Each section is illustrated by many examples … . The bibliography … represents a rich source for readers who want to study details of particular topics. I find the book to be very useful for … mathematicians, civil and structural engineers, materials scientists and others. … it is a rich source of problem formulations, examples, and computational techniques … ." (Michal Kocvara, Mathematical Reviews, Issue 2005 e)

Authors and Affiliations

  • Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

    Martin P. Bendsøe

  • Department of Mechanical Engineering, Solid Mechanics, Technical University of Denmark, Lyngby, Denmark

    Ole Sigmund

Bibliographic Information

  • Book Title: Topology Optimization

  • Book Subtitle: Theory, Methods, and Applications

  • Authors: Martin P. Bendsøe, Ole Sigmund

  • DOI: https://doi.org/10.1007/978-3-662-05086-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Hardcover ISBN: 978-3-540-42992-0Published: 10 October 2002

  • Softcover ISBN: 978-3-642-07698-5Published: 17 September 2011

  • eBook ISBN: 978-3-662-05086-6Published: 17 April 2013

  • Edition Number: 2

  • Number of Pages: XIV, 370

  • Additional Information: Originally published with the title: Optimization of Structural Topology, Shape, and Material

  • Topics: Mathematical Modeling and Industrial Mathematics, Mechanical Engineering, Topology, Solid Mechanics, Engineering Design, Optimization

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