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  3. The Theory of Composites
  • This book is no longer available to purchase from Cambridge Core
  • Cited by 953
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2002
Online ISBN:
9780511613357
DOI:
https://doi.org/10.1017/CBO9780511613357
Subjects:
Mathematics, Computational Science, Fluid Dynamics and Solid Mechanics, Mathematical Modeling and Methods
Series:
Cambridge Monographs on Applied and Computational Mathematics (6)
Information

Book description

Some of the greatest scientists including Poisson, Faraday, Maxwell, Rayleigh, and Einstein have contributed to the theory of composite materials. Mathematically, it 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 last five decades (and particularly in the last three decades) has dramatically increased our understanding of the relationship between the properties of the constituent materials, the underlying microstructure of a composite, and the overall effective (electrical, thermal, elastic) moduli which 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 2002 book surveys these exciting developments at the frontier of mathematics.

Reviews

' … does the job in a splendid manner that will make i the reference book on composite materials for a long time. It is difficult to give a complete account of such an impressive book … I obviously strongly recommend this book, which should soon become the main reference in the field of composite materials.'

Source: MathSciNet

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