文档介绍：Fracture Mechanics
Inverse Problems and Solutions
by
H. D. BUI
École Polytechnique
Department of Mechanics
Palaiseau, France
and
Research & Development Division,
Electricité de France,
Clamart, France
A . Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-4836-X (HB)
ISBN-13 978-1-4020-4836-4 (HB)
ISBN-10 1-4020-4837-8 (e-book)
ISBN-13 978-1-4020-4837-1 (e-book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Printed on acid-free paper
All Rights Reserved
© 2006 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
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Printed in herlands.
This book is dedicated to the memory of my beloved parents
Contents
Preface xiii
Notations xvii
Color plates xxi
1 Deformation and Fracture 1
Deformation 2
Geometric transforms 2
Small strain 3
conditions 4
Stress 5
Elasticity 6
Constitutive laws 6
Tonti’s diagram in elasticity 7
Plasticity 10
Experimental yield surfaces 10
Prandtl-Reuss equations 13
Generalized standard materials 17
Fracture 18
Introduction to fracture mechanics 18
Stress intensity factors 19
On the physics of separation 21
Different types of fracture 23
Brittle fracture criterion 28
2 Energetic Aspects of Fracture 29
Griffith’s theory of fracture 29
Some expressions of G in quasi-statics 31
Irwin’s formula 32
Barenblatt’s cohesive force model 34
Berry’s interpretation of energies 35
Stability analysis of multiple cracks 37