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Topics in the Mathematical Modelling of Composite Materials

Robert Kohn

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ISBN 10: 1461273900 / ISBN 13: 9781461273905
Published by Springer-Verlag Gmbh Apr 2013, 2013
New Condition: Neu Taschenbuch
From Agrios-Buch (Bergisch Gladbach, Germany)

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Neuware - 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. 321 pp. Englisch. Bookseller Inventory # 9781461273905

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Bibliographic Details

Title: Topics in the Mathematical Modelling of ...

Publisher: Springer-Verlag Gmbh Apr 2013

Publication Date: 2013

Binding: Taschenbuch

Book Condition:Neu

About this title

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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.

Product Description:

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.

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