The Theory of Composites Graeme W. Milton

ISBN: 9780521781251

Published: May 6th 2002

Hardcover

719 pages


Description

The Theory of Composites  by  Graeme W. Milton

The Theory of Composites by Graeme W. Milton
May 6th 2002 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 719 pages | ISBN: 9780521781251 | 3.28 Mb

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 hasMoreThe 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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