Mathematical Modelling in Solid Mechanics
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphas
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Francesco dell'Isola Mircea Sofonea David Steigmann Editors
Mathematical Modelling in Solid Mechanics
Advanced Structured Materials Volume 69
Series editors Andreas Öchsner, Southport Queensland, Australia Lucas F.M. da Silva, Porto, Portugal Holm Altenbach, Magdeburg, Germany
More information about this series at http://www.springer.com/series/8611
Francesco dell’Isola Mircea Sofonea David Steigmann •
Editors
Mathematical Modelling in Solid Mechanics
123
Editors Francesco dell’Isola Università di Roma “La Sapienza” Roma Italy
David Steigmann Department of Mechanical Engineering UC Berkeley Berkeley, CA USA
Mircea Sofonea LAboratoire de Mathématiques et PhySique Université de Perpignan Via Domitia Perpignan France
ISSN 1869-8433 Advanced Structured Materials ISBN 978-981-10-3763-4 DOI 10.1007/978-981-10-3764-1
ISSN 1869-8441
(electronic)
ISBN 978-981-10-3764-1
(eBook)
Library of Congress Control Number: 2017930168 © Springer Nature Singapore Pte Ltd. 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Preface
Mechanical process involving deformable solids are abundant in industry and everyday life and play an important role in engineering structures and systems. They include a large variety of phenomena and, therefore, the need of using mathematical models (based on fundamental physical principles) that can predict reliably the evolution of deformable bodies under the action of external loads was recognised long time ago. Mathematical models used in Solid Mechanics are usually expressed in terms of partial differential equations, associated to various boundary and initial conditions. Their validity
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