This book provides an introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one. The aim of the theory is to describe the macroscopic properties of the composite by taking into account the properties of the microscopic structure. The first four chapters cover variational methods for partial differential equations, which is the natural framework of homogenization theory. The text then discusses the homogenization of several kinds of second order boundary value problems. Particular attention is given to the classical examples of the steady and non-steady heat equations, the wave equation and the linearized system of elasticity. All topics are illustrated by figures and numerous examples.
| ISBN: | 9780198565543 |
| Publication date: | 11th November 1999 |
| Author: | Doina Directeur de Recherche, Centre National de la Recherche Scientifique, Directeur de Recherche, Centre Nationa Cioranescu |
| Publisher: | Oxford University Press |
| Format: | Hardback |
| Pagination: | 272 pages |
| Series: | Oxford Lecture Series in Mathematics and Its Applications |
| Genres: |
Analytical mechanics Differential calculus and equations Integral calculus and equations Calculus of variations |