The theory of composites
| Titel: | The theory of composites / Graeme W. Milton |
|---|---|
| Verfasser: | |
| Veröffentlicht: | Cambridge [u.a.] : Cambridge Univ. Press, 2002 |
| Umfang: | XXVIII, 719 S. |
| Format: | E-Book |
| Sprache: | Englisch |
| Schriftenreihe/ mehrbändiges Werk: |
Cambridge monographs on applied and computational mathematics ; 6 |
| RVK-Notation: |
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Vorliegende Ausgabe: | Online-Ausg.: 2004. - Online-Ressource. |
| ISBN: | 051104092X (Sekundärausgabe) ; 9780511040924 (Sekundärausgabe) |
| Hinweise zum Inhalt: |
Inhaltsbeschreibung der Sammlung und Zugangshinweise
|
X
- List of figures
- p. xix
- Preface
- p. xxiii
- 1
- Introduction
- p. 1
- 2
- Some equations of interest and numerical approaches to solving them
- p. 19
- 3
- Duality transformations in two-dimensional media
- p. 47
- 4
- Translations and equivalent media
- p. 59
- 5
- Some microstructure-independent exact relations
- p. 75
- 6
- Exact relations for coupled equations
- p. 93
- 7
- Assemblages of spheres, ellipsoids, and other neutral inclusions
- p. 113
- 8
- Tricks for generating other exactly solvable microgeometries
- p. 143
- 9
- Laminate materials
- p. 159
- 10
- Approximations and asymptotic formulas
- p. 185
- 11
- Wave propagation in the quasistatic limit
- p. 221
- 12
- Reformulating the problem of finding effective tensors
- p. 245
- 13
- Variational principles and inequalities
- p. 271
- 14
- Series expansions for the fields and effective tensors
- p. 291
- 15
- Correlation functions and how they enter series expansions
- p. 313
- 16
- Other perturbation solutions
- p. 341
- 17
- The general theory of exact relations and links between effective tensors
- p. 355
- 18
- Analytic properties
- p. 369
- 19
- Y-tensors
- p. 397
- 20
- Y-tensors and effective tensors in electrical circuits
- p. 413
- 21
- Bounds on the properties of composites
- p. 425
- 22
- Classical variational principle bounds
- p. 437
- 23
- Bounds from the Hashin-Shtrikman variational inequalities
- p. 457
- 24
- Bounds using the compensated compactness or translation method
- p. 499
- 25
- Choosing the translations and finding microgeometries that attain the bounds
- p. 529
- 26
- Bounds incorporating three-point correlation functions
- p. 553
- 27
- Bounds using the analytic method
- p. 569
- 28
- Fractional linear transformations as a tool for generating bounds
- p. 603
- 29
- The field equation recursion method
- p. 619
- 30
- Properties of the G-closure and extremal families of composites
- p. 643
- 31
- The bounding of effective moduli as a quasiconvexification problem
- p. 671
- Author index
- p. 699
- Subject index
- p. 711
