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	The Theory of Composites By: Milton, Graeme W.; Ciarlet, P. G.; Iserles, A.; Kohn, R. V.; Wright, M. H. Published By: Cambridge University Press PDF for Digital Editions Price: $96.00 Available to read online in eb20 (what's this?) PDF for Digital Editions	EBOOK OPTIONS ADD TO CART ADD TO WISHLIST TELL A FRIEND RECEIVE ALERTS
	Although extensively studied for more than a hundred years, an explosion of ideas related to composite materials in the last four decades has dramatically increased our understanding of the relationship between the properties of the constituent materials, the underlying microstructure of a composite, and the overall effective (electrical, thermal, elastic) moduli which govern the macroscopic behavior. This book surveys these exciting developments at the frontier of mathematics and presents many new results.

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Chapter Name	Start Page	End Page	Price	Add to Cart
Cover			$0.00	Included
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1 Introduction	1	18	$4.81
2 Some equations of interest and numerical approaches to solving them	19	46	$7.48
3 Duality transformations in two-dimensional media	47	58	$3.20
4 Translations and equivalent media	59	74	$4.27
5 Some microstructure-independent exact relations	75	92	$4.81
6 Exact relations for coupled equations	93	112	$5.34
7 Assemblages of spheres, ellipsoids, and other neutral inclusions	113	142	$8.01
8 Tricks for generating other exactly solvable microgeometries	143	158	$4.27
9 Laminate materials	159	184	$6.94
10 Approximations and asymptotic formulas	185	220	$9.61
11 Wave propagation in the quasistatic limit	221	244	$6.41
12 Reformulating the problem of finding effective tensors	245	270	$6.94
13 Variational principles and inequalities	271	290	$5.34
14 Series expansions for the fields and effective tensors	291	312	$5.87
15 Correlation functions and how they enter series expansions	313	340	$7.48
16 Other perturbation solutions	341	354	$3.74
17 The general theory of exact relations and links between effective tensors	355	368	$3.74
18 Analytic properties	369	396	$7.48
19 Y -tensors	397	412	$4.27
20 Y -tensors and effective tensors in electrical circuits	413	424	$3.20
21 Bounds on the properties of composites	425	436	$3.20
22 Classical variational principle bounds	437	456	$5.34
23 Bounds from the Hashin-Shtrikman variational inequalities	457	498	$11.22
24 Bounds using the compensated compactness or translation method	499	528	$8.01
25 Choosing the translations and finding microgeometries that attain the bounds	529	552	$6.41
26 Bounds incorporating three-point correlation functions	553	568	$4.27
27 Bounds using the analytic method	569	602	$9.08
28 Fractional linear transformations as a tool for generating bounds	603	618	$4.27
29 The field equation recursion method	619	642	$6.41
30 Properties of the G-closure and extremal families of composites	643	670	$7.48
31 The bounding of effective moduli as a quasiconvexification problem	671	698	$7.48
Author index	699	710	$3.20
Subject index	711	719	$2.40

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