IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials

1. Front Matter

   Pages i-xiii

   PDF

2. Level Sets, FEM and Sound

   1. Front Matter

      Pages 1-1

      PDF

   2. Coupling the Level Set Method and the Topological Gradient in Structural Optimization

      • Grégoire Allaire, François Jouve

      Pages 3-12

   3. Parametric Shape and Topology Optimization with Radial Basis Functions

      • Michael Yu Wang, Shengyin Wang

      Pages 13-22

   4. Generalized Shape Optimization Using X-FEM and Level Set Methods

      • Pierre Duysinx, Laurent Van Miegroet, Thibault Jacobs, Claude Fleury

      Pages 23-32

   5. Topology Design of Three-Dimensional Structures Using Hybrid Finite Elements

      • C. S. Jog

      Pages 33-42

   6. Topology Optimization of Vibrating Bi-Material Structures with Respect to Sound Radiation

      • Niels Olhoff, Jianbin Du

      Pages 43-52

3. Classics Revisited

   1. Front Matter

      Pages 53-53

      PDF

   2. Force Fields within Michell-Like Cantilevers Transmitting a Point Load to a Straight Support

      • Cezary Graczykowski, Tomasz Lewiński

      Pages 55-65

   3. Reflections on Truss and Continuum Topology Optimal Designs

      • Pauli Pedersen, Niels L. Pedersen

      Pages 67-76

   4. Some Basic Issues of Topology Optimization

      • George I. N. Rozvany, Vanda Pomezanski, Osvaldo M. Querin, Zsolt Gaspar, Janos Logo

      Pages 77-86

4. Composites and Cellular Structures

   1. Front Matter

      Pages 87-87

      PDF

   2. On Discrete Material Optimization of Laminated Composites Using Global and Local Criteria

      • Jan Stegmann, Erik Lund

      Pages 89-98

   3. Analysis and Continuum Topology Optimization of Periodic Solids with Linearized Elastic Buckling Criterion

      • Miguel Matos Neves

      Pages 99-106

   4. Design of Cellular Structure for Optimum Efficiency of Heat Dissipation

      • Bo Wang, Gengdong Cheng

      Pages 107-116

   5. Layout of Tileable Multistable Structures Using Topology Optimization

      • Jitendra Prasad, Alejandro R. Diaz

      Pages 117-126

   6. Topology Optimization of Dispersion Properties in Optical Fibres

      • Jesper Riishede, Kristian Hougaard

      Pages 127-136

   7. Optimal Design with Small Contrast

      • Grégoire Allaire, Sergio Gutiérrez

      Pages 137-146

   8. Eigenfrequency and Buckling Optimization of Laminated Composite Shell Structures Using Discrete Material Optimization

      • Erik Lund, Jan Stegmann

      Pages 147-156

   9. Effect of Internal Length Scale on Optimal Topologies for Cosserat Continua

      • Massimiliano Gei, Marco Rovati, Daniele Veber

      Pages 157-166

This book contains the refereed and edited versions of papers presented at the IUTAM Symposium on Topological Design Optimization of Structures, - chines and Materials: Status and Perspectives, held at Rungstedgaard, near Copenhagen, Denmark, October 26–29, 2005. The symposium was attended by 74 scientists from 19 countries, and the programme was intensive and - cluded also two evenings for presentations and discussions. It is now more than 15 years ago that the so-called homogenization method was proposed as a basis for computational means to optimize the topology and shape of continuum structures. From initially being capable mainly of treating minimum compliance design we now see the basic material distribution idea of the methodology applied to a wide range of structural and mechanical pr- lems as well as to problems that couple structural response to other physical responses. Also, the method has provided insight for micro-mechanical st- ies, meaning that the method has given feedback to the area which provided impetus to the ?eld of topological design optimization in its creation. Finally, topological design is now an integral part of most FEM software systems and it has become a standard industrial tool in some ?elds. The IUTAM Symposium provided a forum for the exchange of ideas for - ture developments in the area of topological design optimization. This enc- passed the application to ?uid-solid interaction problems, acoustics problems, and to problems in biomechanics, as well as to other multiphysics problems.

• CAM
• Stab
• Steg
• automata
• finite elements
• image processing
• layout
• linear optimization
• mechanics
• optics
• optimization
• programming
• structure

• Technical University of Denmark, Kgs. Lyngby, Denmark

  Martin Philip Bendsøe, Ole Sigmund

• Aalborg University, Aalborg East, Denmark

  Niels Olhoff

Policies and ethics