The Theory of Composites

[struceng]

The Theory of Composites

Author: Graeme Walter Milton
Edition: illustrated
Publisher: Cambridge University Press, 2002
ISBN: 0521781256, 9780521781251
Length: 719 pages
Pdf: 10.8 Mb
Pdf Quality Condition: 9 points (over 10)

The theory of composite materials is the study of partial differential equations with rapid oscillations in their coefficients. Although extensively studied for more than a hundred years, an explosion of ideas in the past four decades has dramatically increased our understanding of the relationship among the properties of the constituent materials, the underlying microstructure of a composite, and the overall effective moduli that govern the macroscopic behavior. This renaissance has been fueled by the technological need for improving our knowledge base of composites, by the advance of the underlying mathematical theory of homogenization, by the discovery of new variational principles, by the recognition of how important the subject is to solving structural optimization problems, and by the realization of the connection with the mathematical problem of quasiconvexification. This book surveys these exciting developments at the frontier of mathematics and presents many new results.

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