© 2014

Topology Optimization in Structural and Continuum Mechanics

  • George I. N. Rozvany
  • Tomasz Lewiński
  • Covering new developments in structural topology optimization

  • For elastic bodies, the layout problems in linear elasticity are discussed

  • Written by recognized authorities in the fields


Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 549)

Table of contents

  1. Front Matter
    Pages i-x
  2. Tomasz Lewiński, Tomasz Sokół
    Pages 87-128
  3. François Jouve
    Pages 129-173
  4. Grzegorz Dzierżanowski, Tomasz Lewiński
    Pages 175-212
  5. Sławomir Czarnecki, Tomasz Lewiński
    Pages 213-257
  6. Niels Olhoff, Bin Niu
    Pages 299-324
  7. Kurt Maute
    Pages 439-456

About this book


The book covers new developments in structural topology optimization. Basic features and limitations of Michell’s truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.


Continuum Mechanics Fluid-structure Interaction Structural Design Structural Mechanics Topology Optimization

Editors and affiliations

  • George I. N. Rozvany
    • 1
  • Tomasz Lewiński
    • 2
  1. 1.Budapest University of Technology and EconomicsBudapestHungary
  2. 2.Warsaw University of TechnologyWarsawPoland

Bibliographic information

  • Book Title Topology Optimization in Structural and Continuum Mechanics
  • Editors George I. N. Rozvany
    Tomasz Lewinski
  • Series Title CISM International Centre for Mechanical Sciences
  • DOI
  • Copyright Information CISM Udine 2014
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-7091-1642-5
  • Softcover ISBN 978-3-7091-1698-2
  • eBook ISBN 978-3-7091-1643-2
  • Series ISSN 0254-1971
  • Series E-ISSN 2309-3706
  • Edition Number 1
  • Number of Pages X, 471
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Solid Mechanics
    Engineering Design
    Theoretical and Applied Mechanics
  • Buy this book on publisher's site
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