R for Finite Element Analyses of Size-dependent Microscale Structures

This book addresses the static and dynamic analysis of linear elastic size-dependent structures based on the modified couple stress theory. It focuses on establishing the governing equations of the size-dependent structures, deriving the associated finite

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Khameel B. Mustapha

R for Finite Element Analyses of Size-dependent Microscale Structures

SpringerBriefs in Applied Sciences and Technology Computational Mechanics

Series Editors Holm Altenbach, Faculty of Mechanical Engineering, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Sachsen-Anhalt, Germany Lucas F. M. da Silva, Department of Mechanical Engineering, Faculty of Engineering, University of Porto, Porto, Portugal Andreas Öchsner, Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany

These SpringerBriefs publish concise summaries of cutting-edge research and practical applications on any subject of computational fluid dynamics, computational solid and structural mechanics, as well as multiphysics. SpringerBriefs in Computational Mechanics are devoted to the publication of fundamentals and applications within the different classical engineering disciplines as well as in interdisciplinary fields that recently emerged between these areas.

More information about this series at http://www.springer.com/series/8886

Khameel B. Mustapha

R for Finite Element Analyses of Size-dependent Microscale Structures

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Khameel B. Mustapha Department of Mechanical, Materials and Manufacturing Engineering University of Nottingham Malaysia Campus Semenyih, Selangor, Malaysia

ISSN 2191-530X ISSN 2191-5318 (electronic) SpringerBriefs in Applied Sciences and Technology ISSN 2191-5342 ISSN 2191-5350 (electronic) SpringerBriefs in Computational Mechanics ISBN 978-981-13-7013-7 ISBN 978-981-13-7014-4 (eBook) https://doi.org/10.1007/978-981-13-7014-4 Library of Congress Control Number: 2019933203 © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2019 This work is subject to copyright. All rights are solely and exclusively licensed 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. This Springer imprint is published by the registered company Springer Nature Singapo