Optimal Analysis of Structures by Concepts of Symmetry and Regularity

1. Introduction to Symmetry and Regularity
A. Kaveh

2. Introduction to Graph Theory and Algebraic Graph Theory
A. Kaveh

3. Graph Products and Configuration Processing
A. Kaveh

4. Canonical Forms, Basic Definitions and Properties
A. Kaveh

5. Canonical Forms for Combinatorial Optimisation, Nodal Ordering and Graph Partitioning
A. Kaveh

6. Graph Products for Ordering and Domain Decomposition
A. Kaveh

7. Canonical Forms Applied to Structural Mechanics
A. Kaveh

8. Graph Products Applied to the Analysis of Regular Structures
A. Kaveh

9. Graph Products Applied to the Locally Modified Regular Structures Using Direct Methods
A. Kaveh

10. Graph Products Applied to the Regular and Locally Modified Regular Structures Using Iterative Methods
A. Kaveh

11. Group Theory and Applications in Structural Mechanics
A. Kaveh

12. Graph–Group Method for the Analysis of Symmetric-Regular Structures
A. Kaveh

Nyckelord: Engineering, Structural Mechanics, Building Construction, Optimization