Multi-Mechanism Modeling of Inelastic Material Behavior

1. Auflage 2018
ISBN: 978-1-84821-580-1
Verlag: Wiley

Buch, Englisch, 288 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 577 g

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.

Autoren/Hrsg.

Cailletaud, Georges

Taleb, Lakhdar

Sai, Kacem

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
• Naturwissenschaften Chemie Physikalische Chemie Elektrochemie, Magnetochemie

Inhaltsverzeichnis

Preface xi

Introduction xiii

Chapter 1. State of the Art 1

1.1. Motivation from the microstructure 1

1.2. Building bricks 6

1.2.1. Criteria 7

1.2.2. Isotropic hardening rules 12

1.2.3. Kinematic hardening rules (KHR) 17

1.2.4. Plastic modulus 19

1.2.5. Viscosity 24

1.3. Scale transition rules 27

1.3.1. General remarks on scale transition rules 27

1.3.2. Scale transition rules for the MM model 29

1.4. Large deformation 30

1.5. Brief history of the MM models 32

Chapter 2. Model Formulation 35

2.1. Thermodynamic framework 35

2.2. Model with various mechanisms and various criteria: the 2M2C model 37

2.3. Model with various mechanisms and one criterion: the 2M1C model 39

2.4. Comparison with the unified model 40

2.5. Isotropic hardening rules 41

2.5.1. Isotropic hardening for models with various mechanisms and one criterion 41

2.5.2. Isotropic hardening for models with various mechanisms and various criteria 43

2.6. Kinematic hardening rules 45

2.6.1. KHR: models with various mechanisms and various criteria 45

2.6.2. KHR: models with various mechanisms and one criterion 46

2.7. Computation of the inelastic multipliers 46

2.7.1. Flow rate for the 2M1C model 47

2.7.2. Flow rates for the 2M2C model 47

Chapter 3. Typical MM Responses 51

3.1. Some MM model variants 51

3.1.1. Initial MM models 51

3.1.2. Updated 2M1C models after [TAL 06] 53

3.1.3. Updated MM models after [SAÏ 07] 53

3.1.4. A general nMnC model 54

3.1.5. Generalization of the 2M1C model 56

3.2. Creep–plasticity interaction 56

3.3. Rate sensitivity for the 2M2C model 58

3.4. Stabilized behavior of viscoplastic 2M1C model 59

3.5. Closed-form solution for ratcheting behavior of the 2M2C model: case of linear kinematic hardening rules 60

3.6. Ratcheting for 2M1C

Über Autor(innen)

Georges Cailletaud is Professor at Mines ParisTech in France, teaching mechanics of materials and structures.

Kacem Saï is Professor of Mechanical Engineering at the School of Engineering (ENI) in Sfax, Tunisia.

Lakhdar Taleb is Professor of Mechanical Engineering at the National Institute of Applied Sciences (INSA) in Rouen, France.