It takes the average reader 5 hours and 40 minutes to read Topics in the Mathematical Modelling of Composite Materials by Andrej V. Cherkaev
Assuming a reading speed of 250 words per minute. Learn more
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.
Topics in the Mathematical Modelling of Composite Materials by Andrej V. Cherkaev is 340 pages long, and a total of 85,000 words.
This makes it 115% the length of the average book. It also has 104% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 44 minutes to read Topics in the Mathematical Modelling of Composite Materials aloud.
Topics in the Mathematical Modelling of Composite Materials is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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