Thermodynamics
Thermodynamics includes a theoretical and an applied part. The applied thermodynamics aims for calculating the temperature distribution in a continuum body. We will study this approach for macroscopic and microscopic systems. The difference between macros
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		    Bilen Emek Abali
 
 Computational Reality Solving Nonlinear and Coupled Problems in Continuum Mechanics
 
 Advanced Structured Materials Volume 55
 
 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
 
 Bilen Emek Abali
 
 Computational Reality Solving Nonlinear and Coupled Problems in Continuum Mechanics
 
 123
 
 Bilen Emek Abali Berlin Germany
 
 ISSN 1869-8433 Advanced Structured Materials ISBN 978-981-10-2443-6 DOI 10.1007/978-981-10-2444-3
 
 ISSN 1869-8441
 
 (electronic)
 
 ISBN 978-981-10-2444-3
 
 (eBook)
 
 Library of Congress Control Number: 2016948788 © 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
 
 “Herhangi bir kişinin, yaşadıkҫa mutlu, bahtiyar olması iҫin gerekli olan şey, kendisi iҫin değil, kendisinden sonra gelecekler iҫin ҫalışmaktır.” Any individual shall not work themselves but the future generations into success, in order to gain happiness in their own life. M.K. Atatürk (Yücel Dergisi, 02/1935)
 
 Preface
 
 Engineers may have different aims and abilities; however, they have a common task: modeling and solving a physical system. In reality, the systems are complex and can only be modeled by nonlinear and coupled equations. Nowadays, even laptops are capable of solving such equations numerically. Therefore, an engineer can model and solve such problems numerically, just by using a laptop. The underlying work balances between two extremes: being a programmer without duty and being a theoretician without any useful results. The first one, let me call them a pro, is able to write an efficient code but pro lacks the knowledge of the governing eq		
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