Topology Optimization in Structural Mechanics

1. Front Matter

   Pages ii-vii

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2. Aims, Scope, Basic Concepts and Methods of Topology Optimization

   • G. I. N. Rozvany

   Pages 1-55

3. Topology Optimization of Discrete Structures

   • W. Achtziger

   Pages 57-100

4. The Homogenization Method for Topology and Shape Optimization

   • G. Allaire

   Pages 101-133

5. Topology and Shape Optimization Procedures Using Hole Positioning Criteria

   • H. A. Eschenauer, A. Schumacher

   Pages 135-196

6. Reduction and Expansion Processes in Topology Optimization

   • U. Kirsch

   Pages 197-206

7. Singular and Local Optima in Layout Optimization

   • U. Kirsch

   Pages 207-215

8. Reanalysis Models for Topology Optimization

   • U. Kirsch

   Pages 217-226

9. Reanalysis Models for Topology Optimization

   • U. Kirsch

   Pages 227-235

10. Topology and Reinforcement Layout Optimization of Disk, Plate, and Shell Structures

    • L. A. Krog, N. Olhoff

    Pages 237-322

Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization.

• mechanics
• structural mechanics
• topology

• Essen University, Germany

  G. I. N. Rozvany

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