Topology Optimization in Structural and Continuum Mechanics

1. Structural Topology Optimization (STO) – Exact Analytical Solutions: Part I
George I. N. Rozvany

2. Structural Topology Optimization (STO) – Exact Analytical Solutions: Part II
George I. N. Rozvany, Erika Pinter

3. Some Fundamental Properties of Exact Optimal Structural Topologies
George I. N. Rozvany

4. Validation of Numerical Methods by Analytical Benchmarks, and Verification of Exact Solutions by Numerical Methods
George I. N. Rozvany, Tomasz Sokół

5. A Brief Review of Numerical Methods of Structural Topology Optimization
George I. N. Rozvany

6. On Basic Properties of Michell’s Structures
Tomasz Lewiński, Tomasz Sokół

7. Structural Shape and Topology Optimization
François Jouve

8. Compliance Minimization of Two-Material Elastic Structures
Grzegorz Dzierżanowski, Tomasz Lewiński

9. The Free Material Design in Linear Elasticity
Sławomir Czarnecki, Tomasz Lewiński

10. Introductory Notes on Topological Design Optimization of Vibrating Continuum Structures
Niels Olhoff, Jianbin Du

11. Structural Topology Optimization with Respect to Eigenfrequencies of Vibration
Niels Olhoff, Jianbin Du

12. On Optimum Design and Periodicity of Band-gap Structures
Niels Olhoff, Bin Niu

13. Topological Design for Minimum Dynamic Compliance of Structures under Forced Vibration
Niels Olhoff, Jianbin Du

14. Topological Design for Minimum Sound Emission from Structures under Forced Vibration
Niels Olhoff, Jianbin Du

15. Discrete Material Optimization of Vibrating Laminated Composite Plates for Minimum Sound Emission
Niels Olhoff, Bin Niu

16. Topology Optimization of Diffusive Transport Problems
Kurt Maute

17. Topology Optimization of Flows: Stokes and Navier-Stokes Models
Kurt Maute

18. Topology Optimization of Coupled Multi-Physics Problems
Kurt Maute

19. The Extended Finite Element Method
Kurt Maute

20. Topology Optimization under Uncertainty
Kurt Maute

Avainsanat: Engineering, Structural Mechanics, Engineering Design, Optimization, Theoretical and Applied Mechanics