Self-Consistent Methods for Composites Vol.1: Static Problems
The book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of
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SOLID MECHANICS AND ITS APPLICATIONS Volume 148 Series Editor:
G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada N2L 3GI
Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity.
For a list of related mechanics titles, see final pages.
Self-Consistent Methods for Composites Vol.1: Static Problems
by
S.K. KANAUN Instituto TecnolÓgico y de Estudios Superiores de Monterrey, Campus Estado de México, México and
V.M. LEVIN Instituto Mexicano del Petroleo, México
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4020-6663-4 (HB) ISBN 978-1-4020-6664-1 (e-book) Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
Printed on acid-free paper
c 2008 Springer Science + Business Media B.V.
No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
Contents
1.
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.
An elastic medium with sources of external and internal stresses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.1 Medium with sources of external stresses . . . . . . . . . . . . . . . . . . 2.2 Medium with sources of internal stresses . . . . . . . . . . . . . . . . . . . 2.3 Discontinuities of elastic fields in a medium with sources of external and internal stresses . . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Elastic fields far from the sources . . . . . . . . . . . . . . . . . . . . . . . . . 2.5 Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3.
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