Handbook of Damage Mechanics: Nano to Macro Scale for Materials and Structures
Edited by George Z. Voyiadjis
Contents
Volume 1
Section I Continuum Damage Mechanics Fundamentals . . . . . . . . 1
1 Some Basic Issues of Isotropic and Anisotropic Continuum
Damage Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
George Z. Voyiadjis, Peter I. Kattan, and Mohammed A. Yousef
2 Undamageable Materials and Damage Processes in Series and
in Parallel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
George Z. Voyiadjis, Peter I. Kattan, and Mohammed A. Yousef
3 Use of Fabric Tensors in Continuum Damage Mechanics of
Solids with Micro-cracks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
George Z. Voyiadjis, Peter I. Kattan, and Ziad N. Taqieddin
4 Evolution of Fabric Tensors in Continuum Damage Mechanics
of Solids with Micro-cracks: Studying the Effects of Length and
Orientation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
George Z. Voyiadjis, Peter I. Kattan, and Ziad N. Taqieddin
Section II Damage for Disordered Materials . . . . . . . . . . . . . . . . . 135
5 Failure Mechanics of Geomaterials . . . . . . . . . . . . . . . . . . . . . . . . 137
Florent Prunier, Franc¸ois Nicot, Richard Wan, Je´roˆme Duriez, and
Fe´lix Darve
6 Fractals and Mechanics of Fracture . . . . . . . . . . . . . . . . . . . . . . . 171
Michael P. Wnuk
7 Lattice and Particle Modeling of Damage Phenomena . . . . . . . . . 203
Sohan Kale and Martin Ostoja-Starzewski
8 Toughening and Instability Phenomena in Quantized Fracture
Process: Euclidean and Fractal Cracks . . . . . . . . . . . . . . . . . . . . . 239
Michael P. Wnuk
9 Two-Dimensional Discrete Damage Models: Discrete Element
Methods, Particle Models, and Fractal Theories . . . . . . . . . . . . . . 273
Sreten Mastilovic and Antonio Rinaldi
10 Two-Dimensional Discrete Damage Models: Lattice and
Rational Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
Antonio Rinaldi and Sreten Mastilovic
Section III Damage in Crystalline Metals and Alloys . . . . . . . . . . . 339
11 Ductile Damage Behavior in Low-Cycle Fatigue for
Polycrystalline Metallic Materials . . . . . . . . . . . . . . . . . . . . . . . . . 341
Akrum Abdul-Latif
12 From Single Crystal to Polycrystal Plasticity: Overview of
Main Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369
Esteban P. Busso
13 Micromechanics for Heterogeneous Material Property
Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 395
Muneo Hori
14 Microstructural Behavior and Fracture in Crystalline Materials:
Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 419
Pratheek Shanthraj and Mohammed A. Zikry
15 Molecular Dynamics Simulations of Plastic Damage in Metals . . . 453
Shijing Lu, Dong Li, and Donald W. Brenner
16 Numerical Applications in Damage Induced Anisotropy in
Low-Cycle Fatigue Modeling for Metals . . . . . . . . . . . . . . . . . . . . 487
Akrum Abdul-Latif
Section IV Damage in Structures . . . . . . . . . . . . . . . . . . . . . . . . . . 513
17 Damage in Prestressed Concrete Structures due to Creep and
Shrinkage of Concrete . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515
Zdeneˇk P. Bazˇant, Mija H. Hubler, and Qiang Yu
18 Damage to Ship Structures Under Uncertainty: Evaluation
and Prediction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565
Dan M. Frangopol and Mohamed Soliman
19 Elasto-dynamic Damage Evaluation of Bridges . . . . . . . . . . . . . . . 589
Zhihai Xiang and Qiuhai Lu
20 Materials Mechanical Characterizations and Structural
Diagnoses by Inverse Analyses . . . . . . . . . . . . . . . . . . . . . . . . . . . . 619
Vladimir Buljak, Giuseppe Cocchetti, Aram Cornaggia,
Tomasz Garbowski, Giulio Maier, and Giorgio Novati
Section V Damage Mechanics in Electronic Packaging . . . . . . . . . 643
21 Adhesion and Failure of Polymer-Metal Interfaces in
Microelectronic Packaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 645
Jianmin Qu
22 Damage Mechanics Unified Constitutive Modeling for
Polymers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 681
Cemal Basaran and Eray Gunel
23 Thermodynamics Theory for Damage Evolution in Solids . . . . . . 721
Cemal Basaran, Shihua Nie, Juan Gomez, Eray Gunel, Shidong Li,
Minghui Lin, Hong Tang, Chengyong Yan, Wei Yao, and Hua Ye
Volume 2
Section VI Damage Mechanics in Metal Forming . . . . . . . . . . . . . 763
24 Damage Prediction in Metal Forming Process Modeling and
Optimization: Simplified Approaches . . . . . . . . . . . . . . . . . . . . . . 765
Ying-Qiao Guo, Yuming Li, Boussad Abbe`s, Hakim Naceur, and
Ali Halouani
25 Ductile Damage in Metal Forming: Advanced Macroscopic
Modeling and Numerical Simulation . . . . . . . . . . . . . . . . . . . . . . . 815
Khemais Saanouni, Mohamed Hamed, Carl Laberge`re,
and Houssem Badreddine
26 Ductile Failure Modeling: Stress Dependence, Non-locality
and Damage to Fracture Transition . . . . . . . . . . . . . . . . . . . . . . . . 877
M. A. Cesar de Sa, F. M. A. Pires, F. X. C. Andrade, L. Malcher,
and M. R. R. Seabra
27 Micromechanical Models of Ductile Damage and Fracture . . . . . 939
Amine Benzerga
28 Micromechanical Polycrystalline Damage-Plasticity Modeling
for Metal Forming Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 963
Benoit Panicaud, Le´a Le Joncour, Neila Hfaiedh, and
Khemais Saanouni
Section VII Damage Micromechanics of Composite Materials,
and Coupled Elastoplastic Damage-Healing Mechanics of
Granular Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1021
29 Fiber Cracking and Elastoplastic Damage Behavior of Fiber
Reinforced Metal Matrix Composites . . . . . . . . . . . . . . . . . . . . . . 1023
Yu-Fu Ko and Jiann-Wen Woody Ju
30 Micromechanical Elastoplastic Damage Modeling of Evolutionary
Interfacial Arc Debonding for Fiber Reinforced Composites . . . . 1055
Jiann-Wen Woody Ju and Yu-Fu Ko
31 New Strain-Energy Based Coupled Elastoplastic
Damage-Healing Mechanics Accounting for Matric Suction
Effect for Geomaterials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1093
Y. Yuan and Jiann-Wen Woody Ju
32 New Strain-Energy Based Coupled Elastoplastic Two-Parameter
Damage and Healing Models for Geomaterials . . . . . . . . . . . . . . . 1119
Jiann-Wen Woody Ju and K. Y. Yuan
33 Particle-Cracking Modeling of Metal Matrix Composites . . . . . . 1147
Z. Sun, H. T. Liu, and J. W. Ju
34 Particle-Debonding Modeling of Metal-Matrix Composites . . . . . 1163
Z. Sun, H. T. Liu, and J. W. Ju
Section VIII Damage Under Dynamic Loading . . . . . . . . . . . . . . . . 1183
35 Anisotropic Damage for Extreme Dynamics . . . . . . . . . . . . . . . . . 1185
Tomasz Łodygowski and Wojciech Sumelka
36 Plasticity Conditions and Failure Criteria for Quasi-brittle
Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1221
Tomasz Jankowiak and Tomasz Lodygowski
Section IX Experimental Damage Characterization . . . . . . . . . . . . 1253
37 Evaluating Damage with Digital Image Correlation:
Introductory Remarks and Detection of Physical Damage . . . . 1255
Franc¸ois Hild and Ste´phane Roux
38 Evaluating Damage with Digital Image Correlation: B. From
Physical to Mechanical Damage . . . . . . . . . . . . . . . . . . . . . . . . . . . 1277
Franc¸ois Hild and Ste´phane Roux
39 Evaluating Damage with Digital Image Correlation:
Applications to Composite Materials . . . . . . . . . . . . . . . . . . . . . 1301
Franc¸ois Hild, Jean-Noe¨l Pe´rie´, and Ste´phane Roux
Section X Micromechanics of Damage for Laminated
Composites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1323
40 Experimental Methods to Quantify Microdamage and
Microstructure Anomalies in Fiber-Reinforced Polymer
Composites: Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1325
Valeria La Saponara and Rani Elhajjar
41 Modeling Deformation and Damage of Random Fiber
Network (RFN) Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1349
Rickard Ha¨gglund and Per Isaksson
42 Predicting Damage Evolution in Composites with Explicit
Representation of Discrete Damage Modes . . . . . . . . . . . . . . . . . . 1369
D. Yang and B. C. Do
Section XI Nuclear Damage Characterization . . . . . . . . . . . . . . . . 1425
43 Irradiation Damage in Nuclear Power Plants . . . . . . . . . . . . . . . . 1427
Wolfgang Hoffelner
Section XII Recent Trends in Damage and Healing Mechanics . . . 1463
44 Healing, Super Healing, and Other Issues in Continuum
Damage Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1465
George Z. Voyiadjis, Peter I. Kattan, and Navid Mozaffari
45 Thermodynamics of Continuum Damage Healing Mechanics . . . 1493
George Z. Voyiadjis and Amir Shojaei
46 Continuum Damage-Healing Mechanics . . . . . . . . . . . . . . . . . . . . 1515
George Z. Voyiadjis and Amir Shojaei
47 Modeling of Nonlocal Damage Using the Phase Field Method . . . 1541
George Z. Voyiadjis and Navid Mozaffari
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1577