Hyperplasticity: From Micro to Macro
A simple model is presented in which the hyperplasticity approach is used to develop a model at the micro-scale, with energy and dissipation terms then being integrated over a Representative Volume Element to deduce the macroscopic response. Strong kineti
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Pasquale Giovine Paolo Maria Mariano Giuseppe Mortara Editors
Views on Microstructures in Granular Materials
Advances in Mechanics and Mathematics Advances in Continuum Mechanics Volume 44
Series Editors Paolo Maria Mariano, University of Florence Richard D. James, University of Minnesota Constantine M. Dafermos, Brown University
More information about this subseries at http://www.springer.com/series/16097
Pasquale Giovine • Paolo Maria Mariano Giuseppe Mortara Editors
Views on Microstructures in Granular Materials
Editors Pasquale Giovine Department of Civil, Energy, Environment, and Materials Engineering (DICEAM) University ‘Mediterranea’ of Reggio Calabria Reggio Calabria, Italy
Paolo Maria Mariano Department of Civil and Environmental Engineering University of Florence Firenze, Italy
Giuseppe Mortara Department of Civil, Energy, Environment, and Materials Engineering (DICEAM) University of Reggio Calabria Reggio Calabria, Italy
ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISSN 2524-4639 ISSN 2524-4647 (electronic) Advances in Continuum Mechanics ISBN 978-3-030-49266-3 ISBN 978-3-030-49267-0 (eBook) https://doi.org/10.1007/978-3-030-49267-0 Mathematics Subject Classification: 74L10, 74M25, 74A20, 74A60, 74E20, 76T25, 74L50, 70F35, 70F99 © Springer Nature Switzerland AG 2020 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, expressed 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. This book is published under the imprint Birkhäuser, www.birkhauser-science.com, by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Views on Microstructures in Granular Materials: Preface
Granular materials are sets of thousands to millions of individual particles—grains with a diameter greater than one micron—each able to move independently of the neighboring particles, unless the environment forces the
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