Table of contents for The theory of composites / Graeme W. Milton.


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1. Introduction
2. Equations of interest and numerical approaches
3. Duality transformations
4. Translations and equivalent media
5. Microstructure independent exact relations
6. Exact relations for coupled equations
7. Assemblages of inclusions
8. Tricks for exactly solvable microgeometries
9. Laminate materials
10. Approximations and asymptotic formulae
11. Wave propagation in the quasistatic limit
12. Reformulating the problem
13. Variational principles and inequalities
14. Series expansions
15. Correlation functions and series expansions
16. Other perturbation solutions
17. The general theory of exact relations
18. Analytic properties
19. Y-tensors
20. Y-tensors and effective tensors in circuits
21. Bounds on the properties of composites
22. Classical variational principle bounds
23. Hashin-Shtrikman bounds
24. Translation method bounds
25. Choosing translations and finding geometries
26. Bounds incorporating three-point statistics
27. Bounds using the analytic method
28. Fractional linear transformations for bounds
29. The field equation recursion method
30. G-closure properties and extremal composites
31. Bounding and quasiconvexification.