Variational Continuum Multiphase Poroelasticity Theory and Applicati

This book collects the theoretical derivation of a recently presented general variational macroscopic continuum theory of multiphase poroelasticity (VMTPM), together with its applications to consolidation and stress partitioning problems of interest in se

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Roberto Serpieri Francesco Travascio

Variational Continuum Multiphase Poroelasticity Theory and Applications

Advanced Structured Materials Volume 67

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

Roberto Serpieri Francesco Travascio •

Variational Continuum Multiphase Poroelasticity Theory and Applications

123

Francesco Travascio University of Miami Biomechanics Research Laboratory Coral Gables, FL USA

Roberto Serpieri Dipartimento di Ingegneria Università degli Studi del Sannio Benevento Italy

ISSN 1869-8433 Advanced Structured Materials ISBN 978-981-10-3451-0 DOI 10.1007/978-981-10-3452-7

ISSN 1869-8441

(electronic)

ISBN 978-981-10-3452-7

(eBook)

Library of Congress Control Number: 2016960776 © 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. 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, #22-06/08 Gateway East, Singapore 189721, Singapore

To our beloved wives Ilaria and Pamela, to our children Lorenza, Alessandro and Dylan, and to our parents

Foreword

It is a great pleasure to present this nice book in a subject which occupied my studies for a long while. The authors have enthusiastically started a cultural and scientific endeavour which surely deserves a great investment in intelligence and study. Indeed to base the continuum mechanics of porous media on variational principles presents some relevant difficulties of mathematical nature as well as very important issues related to applicability to real-world problems. It has been a pleasure to see how the younger (compared with me) authors have approached the increasingly difficult problems which they met in pursuing their scientific objective and I hope that the dis