tailieunhanh - Interaction of Mechanics and Mathematics

With its origins in the theories of continuous distributions of dislocations and of metal plasticity, inhomogeneity theory is a rich and vibrant field of research. The recognition of the important role played by configurational or material forces in phenomena such as growth and remodelling is perhaps its greatest present-day impetus. While some excellent comprehensive works approaching the subject from different angles have been published, the objective of this monograph is to present a point of view that emphasizes the differentialgeometric aspects of inhomogeneity theory. In so doing, we follow the general lines of thought that we have propounded in many publications and presentations over the last two decades. Although. | Interaction of Mechanics and Mathematics Marcelo Epstein Marek Elzanowski Material Inhomogeneities and their Evolution A Geometric Approach With 29 Figures Springer IMM Advisory Board D. Colton USA . R. Knops UK . G. DelPiero Italy . Z. Mroz Poland . M. Slemrod USA . S. Seelecke USA . L. Truskinovsky France IMM is promoted under the auspices of ISIMM International Society for the Interaction of Mechanics and Mathematics . Authors Marcelo Epstein Department of Mechanical Manufacturing Engineering The University of Calgary Calgary Alberta T2N 1N4 Canada mepstein@ Marek ElZanowski Department of Mathematics and Statistics Portland State University 751 Portland Oregon 97207 USA elzanowskim@. Library of Congress Control Number 2007930220 ISSN print edition 1860-6245 ISSN electronic edition 1860-6253 ISBN 978-3-540-72372-1 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved whether the whole or part of the material is concerned specifically the rights of translation reprinting reuse of illustrations recitation broadcasting reproduction on microfilm or in any other way and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9 1965 in its current version and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science Business Media Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names registered names trademarks etc. in this publication does not imply even in the absence of a specific statement that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting by the authors and Integra using a springer IAIj Xmacro package Cover design JWMX Design Heidelberg Printed on acid-free paper SPIN 11534907 89 Integra .