E-Book Overview
Explore a Unified Treatment of the Finite Element Method The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite Element Analysis: Thermomechanics of Solids presents a unified treatment of the finite element method in theremomechanics, from the basics to advanced concepts. An Integrated Presentation of Critical Technology As in the first edition, the author presents and explicates topics in a way that demonstrates the highly unified structure of the finite element method. The presentation integrates continuum mechanics and relevant mathematics with persistent reliance on variational and incremental-variational foundations. The author exploits matrix-vector formalisms and Kronecker product algebra to provide transparent and consistent notation throughout the text. Nearly twice as long as the first edition, this second edition features: § Greater integration and balance between introductory and advanced material § Increased number of fully solved examples § Selected developments in numerical methods, detailing accelerating computations in eigenstructure extraction, time integration, and stiffness matrix triangularization § More extensive coverage of the arc length method for nonlinear problems § Expanded and enhanced treatment of rotating bodies and buckling Provides Sophisticated Understanding of Capabilities and Limitations This new edition of a popular text includes significant illustrative examples and applications, modeling strategies, and explores a range of computational issues. Written by a professor with years of practical engineering and instructional experience, the book provides a strong foundation for those requiring a sophisticated understanding of the method’s capabilities and limitations.
E-Book Content
Second Edition
FINITE ELEMENT ANALYSIS Thermomechanics of Solids
ß 2008 by Taylor & Francis Group, LLC.
ß 2008 by Taylor & Francis Group, LLC.
Second Edition
FINITE ELEMENT ANALYSIS Thermomechanics of Solids David W. Nicholson
Boca Raton London New York
CRC Press is an imprint of the Taylor & Francis Group, an informa business
ß 2008 by Taylor & Francis Group, LLC.
CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2008 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-13: 978-1-4200-5095-0 (Hardcover) This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www. copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC) 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provid