Overview

A rigorous mathematical treatment of the properties of composite materials has been made possible by recent mathematical results in the fields of partial differential equations and the calculus of variations. The progress in the mathematical models for composite media has led to a deeper understanding of the overall behaviour of composite structures and to significant applications in physics and engineering, including a new approach to optimal design problems.Many new, relevant results are presented in this volume, which contains 16 invited papers from the Second Workshop on Composite Media and Homogenization Theory held at the International Centre for Theoretical Physics in Trieste, Italy, from September 20 to October 1, 1993. Topics include homogenization of problems singularly depending on small or large parameters, homogenization of nonlinear problems, optimal bounds for effective moduli, asymptotic analysis of problems in perforated domains, laminate structures in phase transitions, optimal design and relaxation. Mathematicians and engineers interested in mathematical models of composite materials will find this book to be an important reference.

Full Product Details

Author:   Gianni Dal Maso (Sissa, Trieste, Italy) ,  G Dell'antonio (Univ ""La Sapienza"" Rome, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810224578

ISBN 10:   9810224575
Pages:   320
Publication Date:   01 September 1995
Audience:   Professional and scholarly ,  General/trade ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Homogenization and electromagnetic wave propagation in composite media with high conductivity inclusions, M. Artola; homogenization of dynamic problems singularly depending on small parameters, N.S. Bakhvalov and M.E. Eglit; low concentration limit for Dirichlet homogenization problem, A.G. Belyaev and S.M. Kozlov; on the prediction of extremal material properties for the optimal design of topology, shape and material, M.P. Bensoe et al; H-convergence for quasi-linear elliptic equations under natural hypotheses on the correctors, A. Bensoussan et al; increase of power leads to bilateral problems, L. Boccardo and F. Murat; relaxed shape optimization problems with Dirichlet boundary conditions, G. Buttazzo; reducing of optimal design problems to minimal variational problems, A. Cherkaev; on a homogenization problem for the Laplace operator in a partially perforated domain with Neumann condition on holes, W. Jager et al; laminate structures in Martensite, R. James and D. Kinderlehrer; homogenization on Riemannian manifolds, E. Ya Khruslov and L.B. de Monvel; multiscaled approach in homogenization, A.S. Kozlov; relaxation of non-self adjoint problems of optimal material layout, K.A. Lurie; homogenization of nonlinear elliptic and parabolic boundary value problems in perforated domains, I.V. Skrypnik; BMO fields and bounds for nonlinear composite response, J.R. Willis; Lavrentiev phenomenon and homogenization for some variational problems, V.V. Zhikov.

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