Overview:Topics in the Mathematical Modelling of Composite Materials - Progress in Nonlinear Differential Equations and Their Applications 31 - 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 materials. 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 "compensated 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, circulating 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.

This book is on page /0fb06c92acf561788291222b8bb2eff7/book/1603728814-9781461273905. It was written by the following authors: Robert Kohn, Andrej V. Cherkaev. Book Topics in the Mathematical Modelling of Composite Materials - Progress in Nonlinear Differential Equations and Their Applications 31, which can be read online, published by the company: Springer-Verlag New York Inc.. Other books on similar topics can be found in sections: Science, Technology, Medicine. The book was published on 2012-10-13. It has 321 pages and is published in Paperback format and weight 516 g. File for download Topics in the Mathematical Modelling of Composite Materials - Progress in Nonlinear Differential Equations and Their Applications 31 has PDF format and is called topics-in-the-mathematical-modelling-of-composite-materials-progress-in-nonlinear-differential-equations-and-their-applications-31.pdf. Other books you can download below. Our poumm.fr site is not responsible for the content of PDF files.


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