99,99 €
Mehr erfahren.
- Herausgeber: John Wiley & Sons
- Kategorie: Fachliteratur
- Sprache: Englisch
An introductory approach to the subject of large strains and large displacements in finite elements.
Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced.
This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered.
Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored.
This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding.
- Takes an introductory approach to the subject of large strains and large displacements in finite elements. No prior knowledge of the subject is required.
- Discusses computational methods and algorithms to tackle large strains and teaches the basic knowledge required to be able to critically gauge the results of computational models.
- Contains a large number of easy to follow illustrations, examples and source code details.
- Accompanied by a website hosting code examples.
Sie lesen das E-Book in den Legimi-Apps auf:
Seitenzahl: 396
Veröffentlichungsjahr: 2014
Ähnliche
Large Strain Finite Element Method
A Practical Course
Antonio Munjiza
Queen Mary, University of London
Esteban Rougier
Los Alamos National Laboratory, US
Earl E. Knight
Los Alamos National Laboratory, US
This edition first published 2015© 2015 John Wiley & Sons, Ltd
Registered OfficeJohn Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom
For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com.
The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher.
Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books.
Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and product names used in this book are trade names, service marks, trademarks or registered trademarks of their respective owners. The publisher is not associated with any product or vendor mentioned in this book.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. It is sold on the understanding that the publisher is not engaged in rendering professional services and neither the publisher nor the author shall be liable for damages arising herefrom. If professional advice or other expert assistance is required, the services of a competent professional should be sought.
The Los Alamos National Laboratory strongly supports academic freedom and a researcher’s right to publish; therefore, the Laboratory as an institution does not endorse the viewpoint of a publication or guarantee its technical correctness.
Library of Congress Cataloging-in-Publication Data
Munjiza, Antonio A. Large strain finite element method : a practical course / Antonio Munjiza, Esteban Rougier, Earl E. Knight. pages cm Includes bibliographical references and index.
ISBN 978-1-118-40530-7 (cloth)1. Finite element method. 2. Stress-strain curves. 3. Deformations (Mechanics)–Mathematical models.I. Rougier, Esteban. II. Knight, Earl E. III. Title. QC20.7.F56M86 2015 620.1′1230151825–dc23
2014027705
A catalogue record for this book is available from the British Library.
ISBN: 9781118405307
Antonio Munjiza would like to dedicate this book to Jasna and Boney.
Esteban Rougier would like to dedicate this book to his wife Sole and to his sons Ignacio and Matias.
Earl E. Knight would like to dedicate this book to the love of his life, his best friend and confidante, Cheryl Marie.
Preface
The conventional finite element method is based on the assumption that structural system displacements under load are small and that the structural material does not stretch much under that load. Arguably, the small strain, small displacements-based finite element method is not of much use in modern scientific, engineering and technological applications. Even in classic structural engineering applications, the conventional finite element method is hardly applicable. This shift has occurred because design codes and standards have changed in recent years to include the ultimate limit state, i.e., considerations of structural collapse. As a consequence, one now has to consider both large strains (plastic strains) and large displacements. In other state of the art applications of the finite element method, finite element simulations are increasingly becoming an integral part of the so-called virtual experimentation, examples of these are biological, medical science, material science, process engineering, military and many other applications of the finite element method. In these applications the finite element simulation has to reproduce reality (as opposed to approximating reality), together with possible emergent properties such as flow, damage, failure, collapse, yield, etc.
In this context, not even the higher order theories and their finite element realizations are suitable representations of the physical realities involved. The answer is an exact formulation that encompasses an exact representation of large displacements, large strains, and material properties including anisotropy. Such a theory, when implemented in a finite element software package, must cover 2D solids, 3D solids, and 2.5D shell and membrane static and dynamic simulations.
Theoretical aspects of these formulations were resolved in the 1960s and 1970s. The finite element adaptation of these theoretical formulations has mostly taken place during the 1990s and early years of the 21st century. This work has resulted in a large body of scientific papers that have described it as the next generation of finite element packages. Nevertheless, the subject has remained a mystery for undergraduate students, postgraduate students, practicing engineers and scientist and even for users and developers of finite element software.
This book is written with the key objective of “demystifying” the subject, making it easy for students, engineers and software developers to master the minute details of the finite element method that incorporates large strains, large displacements, and material nonlinearity.
The book is written in such a way that it provides a pathway to master all the method’s related subjects starting with matrices, systems of equations, scalar and vectors and progressing onto tensors of the first order, and tensors of the second order. With this knowledge base in hand, the book provides an engineering-based approach to deformation kinematics that avoids the often confusing mathematical jargon yet concentrates on the physics and uses mathematics only when necessary. At this stage, the reader is made familiar with a generalized framework for developing large strains based nonlinear material laws. This is done without any reference to the finite element method, having in mind, for example, a material modeler whose job is to solely develop material laws.
