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The Theory of Composites.
~
Ciarlet, P. G.
The Theory of Composites.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The Theory of Composites.
作者:
Milton, Graeme W.
其他作者:
Ciarlet, P. G.
出版者:
Cambridge :Cambridge University Press,2002.
面頁冊數:
749 p.
標題:
Composite materials.
電子資源:
Click here to view book
ISBN:
9780511613357 (electronic bk.)
The Theory of Composites.
Milton, Graeme W.
The Theory of Composites.
[electronic resource]. - Cambridge :Cambridge University Press,2002. - 749 p.
Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; List of figures; Preface; 1 Introduction; 2 Some equations of interest and numerical approaches to solving them; 3 Duality transformations in two-dimensional media; 4 Translations and equivalent media; 5 Some microstructure-independent exact relations; 6 Exact relations for coupled equations; 7 Assemblages of spheres, ellipsoids, and other neutral inclusions; 8 Tricks for generating other exactly solvable microgeometries; 9 Laminate materials; 10 Approximations and asymptotic formulas
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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511613357 (electronic bk.)Subjects--Topical Terms:
196714
Composite materials.
Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: TA418.9.C6 M58 2002eb
Dewey Class. No.: 620.118
The Theory of Composites.
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Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; List of figures; Preface; 1 Introduction; 2 Some equations of interest and numerical approaches to solving them; 3 Duality transformations in two-dimensional media; 4 Translations and equivalent media; 5 Some microstructure-independent exact relations; 6 Exact relations for coupled equations; 7 Assemblages of spheres, ellipsoids, and other neutral inclusions; 8 Tricks for generating other exactly solvable microgeometries; 9 Laminate materials; 10 Approximations and asymptotic formulas
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11 Wave propagation in the quasistatic limit12 Reformulating the problem of finding effective tensors; 13 Variational principles and inequalities; 14 Series expansions for the fields and effective tensors; 15 Correlation functions and how they enter series expansions; 16 Other perturbation solutions; 17 The general theory of exact relations and links between effective tensors; 18 Analytic properties; 19 Y -tensors; 20 Y -tensors and effective tensors in ele
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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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Iserles, A.
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http://dx.doi.org/10.1017/CBO9780511613357
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