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Topics in the Mathematical Modelling of Composite Materials (Paperback)

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ISBN 10: 1461273900 / ISBN 13: 9781461273905
Edité par Springer-Verlag New York Inc., United States, 2013
Neuf(s) Etat : New Paperback
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A propos de cet article

Language: English . Brand New Book. Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate- rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the G-closure problem, motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on com- pensated compactness ; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu- lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of gap in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate. Softcover reprint of the original 1st ed. 1997. N° de réf. du libraire LIB9781461273905

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Détails bibliographiques

Titre : Topics in the Mathematical Modelling of ...

Éditeur : Springer-Verlag New York Inc., United States

Date d'édition : 2013

Reliure : Paperback

Etat du livre :New

A propos de ce titre

Synopsis :

Andrej V. Cherkaev and Robert V. Kohn In the past twenty years we have witnessed a renaissance of theoretical work on the macroscopic behavior of microscopically heterogeneous mate­ rials. This activity brings together a number of related themes, including: ( 1) the use of weak convergence as a rigorous yet general language for the discussion of macroscopic behavior; (2) interest in new types of questions, particularly the "G-closure problem," motivated in large part by applications of optimal control theory to structural optimization; (3) the introduction of new methods for bounding effective moduli, including one based on "com­ pensated compactness"; and (4) the identification of deep links between the analysis of microstructures and the multidimensional calculus of variations. This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. As a result it has received attention and support from numerous scientific communities, including engineering, materials science, and physics as well as mathematics. There is by now an extensive literature in this area. But for various reasons certain fundamental papers were never properly published, circu­ lating instead as mimeographed notes or preprints. Other work appeared in poorly distributed conference proceedings volumes. Still other work was published in standard books or journals, but written in Russian or French. The net effect is a sort of "gap" in the literature, which has made the subject unnecessarily difficult for newcomers to penetrate.

Synopsis:

A collection of research papers dealing with the macroscopic behaviour of microscopically hetergenous materials. The papers have been previously published in French or Russian as "hidden literature". This volume provides English translations of these works.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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