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This book focuses on a particular class of models (namely Multi-Mechanism models) and their applications to extensive experimental data base related to different kind of materials. These models (i) are able to describe the main mechanical effects in plasticity, creep, creep/plasticity interaction, ratcheting extra-hardening under non-proportional loading (ii) provide local information (such us local stress/strain fields, damage, ….). A particular attention is paid to the identification process of material parameters. Moreover, finite element implementation of the Multi-Mechanism models is detailed.
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Veröffentlichungsjahr: 2017
Cover
Title
Copyright
Preface
Introduction
1 State of the Art
1.1. Motivation from the microstructure
1.2. Building bricks
1.3. Scale transition rules
1.4. Large deformation
1.5. Brief history of the MM models
2 Model Formulation
2.1. Thermodynamic framework
2.2. Model with various mechanisms and various criteria: the 2M2C model
2.3. Model with various mechanisms and one criterion: the 2M1C model
2.4. Comparison with the unified model
2.5. Isotropic hardening rules
2.6. Kinematic hardening rules
2.7. Computation of the inelastic multipliers
3 Typical MM Responses
3.1. Some MM model variants
3.2. Creep–plasticity interaction
3.3. Rate sensitivity for the 2M2C model
3.4. Stabilized behavior of viscoplastic 2M1C model
3.5. Closed-form solution for ratcheting behavior of the 2M2C model: case of linear kinematic hardening rules
3.6. Ratcheting for 2M1C model
3.7. Ratcheting behavior of the 10M10C model
3.8. Extra-hardening under non-proportional loading
3.9. Static recovery effect
4 Comparison with Experimental Databases
4.1. Inconel 718 [SAÏ 93]
4.2. Deformation mechanisms of Ni–Ti shape memory alloy [ROU 00]
4.3. N18 alloy [SAÏ 04]
4.4. Carbon steel CS1026 [TAL 06]
4.5. Thermo-mechanical behavior of 55NiCrMoV7 [VEL 06]
4.6. 2017 Aluminum alloy
4.7. 304 austenitic stainless steel
4.8. 316 austenitic stainless steel
4.9. Recrystallized Zirconium alloy 4 [PRI 08]
4.10. Semi-crystalline polymers [REG 09b]
4.11. Glassy polymers [JER 14]
4.12. Copper-zinc alloy CuZn27 [TAL 15]
4.13. Ferritic steel 35NiCrMo16 [TAL 15]
4.14. Ferritic steel XC18 [TAL 13a]
4.15. Phase transformation in titanium alloys Ti6AI4V [LON 09]
5 MM Damage-Plasticity Models
5.1. MM models based on the GTN approach
5.2. MM models coupled with CDM theory
5.3. Two plastic mechanisms combined with a damage mechanism
5.4. MM models taking into account volume change (CDM theory)
5.5. Damage behavior of mortar-rubber aggregate mixtures
6 Finite Element Implementation
6.1. Implementations of particular models
6.2. Creep–plasticity interaction in a notched specimen
6.3. FE analysis of plane forging of polycarbonate specimens
6.4. FE simulation of bulging of a 304SS sheet
6.5. FE simulation of PA6 notched specimens
6.6. Finite Element codes
Bibliography
Index
End User License Agreement
Cover
Table of Contents
Begin Reading
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Georges Cailletaud
Kacem Saï
Lakhdar Taleb
First published 2018 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:
ISTE Ltd 27-37 St George’s Road London SW19 4EU UKwww.iste.co.uk
John Wiley & Sons, Inc. 111 River Street Hoboken, NJ 07030 USAwww.wiley.com
© ISTE Ltd 2018The rights of Georges Cailletaud, Kacem Saï and Lakhdar Taleb to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.
Library of Congress Control Number: 2017955720
British Library Cataloguing-in-Publication DataA CIP record for this book is available from the British LibraryISBN 978-1-84821-580-1
It is common to say that each industrial sector relies on the performance of its materials. Examples of this type are multiple, think of the railways (development of rail steels at the end of the 19th Century), civil construction (development of advanced concrete formulations), the space shuttle (composites, carbon–carbon tiles) or aeronautics, where the performance of reactors depends on the maximum temperature supported by the materials in the hottest areas. But in fact, it would be more accurate to say that the performance obtained also depends on knowledge of the material used. An improved knowledge of the material paves the way for a structure design that, in addition to its elegance, has two important aspects: (1) safety improvement, insofar as having a good knowledge of the physical phenomena is better than applying large safety parameters, which often sound like coefficients to hide ignorance; (2) better ecological performance, since weight reduction decreases the fuel consumption of cars or aircrafts.
This modern approach has been greatly facilitated by the tremendous increase in the power of computers and the robustness of the numerical algorithms. Materials are too often forgotten in this process, and engineers’ fear is then to apply the “garbage in, garbage out” proverb when there is such a weak point in the calculation chain. Yet researchers have made considerable progress in the field of material modeling. The time has now come for efforts to popularize the models obtained and to encourage their use by providing examples on materials of current use.
About 50 years after Mandel’s paper on the “Généralisation de la théorie de la plasticité de W. T. Koiter” in Int. J. Solids Struct. (1965), the authors of the present book decided that it was time to gather the most recent results on the field of the so-called multi-mechanism models (MM). After Zarka and his co-workers, they have been active developers of this model class, which was reformulated in a thermodynamic framework, introduced in finite element codes, and adapted for a large number of materials and loading conditions. As a result, they have reached a good level of maturity. They offer a versatile toolbox to develop new constitutive equations for metals, polymers and geomaterials under monotonic or cyclic loading paths.
The implementation of the ideas was rather fast, and it was then time to start writing. This was spread over several years. It gave rise to several discoveries and developments of the models that had remained unexploited in the original versions. It has been enriched by ongoing research, which ensures that the document is fully up to date. Being able to resume the work begun every time a niche was released in the schedule was only possible, thanks to the mutual encouragements that the authors gave each other and to the sincere friendship that now crowns their efforts.
The hope is that the text now meets its readers, that it allows the sharing of results and a certain know-how, and that it is useful for students, researchers and engineers who will have it in hand.
