Scalar Damage and Healing Mechanics

1st Edition - October 3, 2022
Imprint: Elsevier
Authors: George Z. Voyiadjis, Peter I. Kattan
Language: English
Paperback ISBN:
9 7 8 - 0 - 1 2 - 8 2 3 3 3 9 - 9
eBook ISBN:
9 7 8 - 0 - 1 2 - 8 2 3 6 1 7 - 8

Scalar Damage and Healing Mechanics outlines the latest cutting-edge research in the field of scalar damage and healing mechanics, providing step-by-step insight on how to use sc… Read more

Purchase options

BLOOM INTO SPRING SAVINGS

Save up to 25% on books and eBooks!

Shop now

Institutional subscription on ScienceDirect

Request a sales quote

Scalar Damage and Healing Mechanics outlines the latest cutting-edge research in the field of scalar damage and healing mechanics, providing step-by-step insight on how to use scalar damage variables in various modeling scenarios. Additionally, the book discusses the latest advances in healing mechanics, covering the evolution of healing and damage, small damage and small healing, healing processes in series and in parallel, super healing, and the thermodynamics of damage and healing. Coupled systems, in which damage triggers self-healing as well as a decoupled system where healing occurs after damage is identified by external detection, are also discussed.

Readers are additionally introduced to fundamental concepts such as effective stress, damage evolution, plane stress damage decomposition, and other damage processes that form the basis for a better understanding of the more advanced chapters.

Cover image
Title page
Table of Contents
Copyright
Dedication
About the authors
Preface
Chapter 1. Effective stress
1.1. Hypothesis of elastic strain equivalence
1.2. Hypothesis of elastic energy equivalence
1.3. Exercises
Chapter 2. Damage evolution
2.1. Damage evolution equations
2.2. Illustrative example
2.3. Exercises
Chapter 3. Decomposition of the damage variable
3.1. The decomposition process
3.2. Exercises
Chapter 4. Other decomposition issues
4.1. Introduction
4.2. Decomposition of the damage variable
4.3. Approximate formula for the decomposition
4.4. Other decomposition issues
4.5. Final conclusion
4.6. Exercises
Chapter 5. Other damage variables
5.1. Other scalar damage variables
5.2. Stresses and strains
5.3. Exercises
Chapter 6. Damage in composite materials – Overall approach
6.1. Overall approach
6.2. Exercises
Chapter 7. Damage in composite materials – Local approach
7.1. Local approach
7.2. Equivalence of the two approaches
7.3. Exercises
Chapter 8. Complex damage variables
8.1. Mathematical formulation
8.2. First approach
8.3. Second approach
8.4. Conclusion
8.5. Exercises
Chapter 9. Damage described in terms of stiffness degradation
9.1. Schematic formulation
9.2. Illustrative examples
9.3. Exercises
Chapter 10. Damage described in terms of area reduction
10.1. Schematic formulation
10.2. Illustrative examples
10.3. Exercises
Chapter 11. Damage and healing mechanics
11.1. Introduction
11.2. Scalar healing variables
11.3. Hypothesis of elastic strain equivalence for damage and healing variables
11.4. Hypothesis of elastic energy equivalence for damage and healing variables
11.5. Hypothesis of elastic strain equivalence for damage and healing stresses
11.6. Hypothesis of elastic energy equivalence for damage and healing stresses
11.7. Conclusion
11.8. Exercises
Chapter 12. Evolution of damage and healing
12.1. Damage and healing evolution equations
12.2. Evolution laws based on the first set of damage and healing variables
12.3. Evolution laws based on the second set of damage and healing variables
12.4. Coupling and uncoupling of damage and healing processes
12.5. Results and discussion
12.6. Conclusion
12.7. Exercises
Chapter 13. Small damage and small healing
13.1. Issues of small damage and small healing
13.2. Exercises
Chapter 14. Healing processes in series and in parallel
14.1. Basic equations
14.2. Exercises
Chapter 15. Thermodynamics of damage and healing
15.1. Introduction
15.2. Thermodynamic framework
15.3. Exercises
Chapter 16. Undamageable materials–1
16.1. Analysis and design of an undamageable material
16.2. Higher-order strain energy forms
16.3. Conclusion
16.4. Exercises
Chapter 17. Undamageable materials–2
17.1. Higher-order strain energy forms
17.2. Elastic stiffness equations
17.3. Exercises
Chapter 18. Super healing
18.1. Review of damage/healing mechanics
18.2. Introduction to super healing
18.3. Exercises
Chapter 19. Singularity formation
19.1. Basic mathematical formulation
19.2. Exercises
Chapter 20. Stages of the damage process
20.1. The nature of the damage process
Chapter 21. Independent and dependent damage processes
21.1. Exercises
Chapter 22. Special damage processes described mathematically
22.1. Exercises
Chapter 23. Damage in graphene, carbon nanotubes, and lithium ion batteries
23.1. Basic formulation
23.2. Basic formulation using the hypothesis of elastic strain equivalence
23.3. Basic formulation using the hypothesis of elastic energy equivalence
23.4. Elastic stiffness degradation damage variable and surface area damage variable
23.5. Exercises
Chapter 24. Logarithmic and exponential damage
24.1. The logarithmic damage variable
24.2. Additional damage variables
24.3. An exponential damage variable
24.4. Exercises
Chapter 25. Integrity and damageability
25.1. Integrity variable
25.2. Damageability variable
25.3. Integrity versus damageability
25.4. Exercises
Chapter 26. Unhealable damage and undamageable integrity
26.1. Exercises
Chapter 27. Nonlinear healing
27.1. Scalar formulation
27.2. Quadratic healing
27.3. Concept of unhealable damage
27.4. Comparison of healing models
27.5. Exercises
Chapter 28. Stages of the healing process
28.1. Dissection of the healing process
28.2. Exercises
Chapter 29. Integrity field
29.1. Fundamental equations
29.2. Illustrative example
29.3. Approximation of the integrity field
29.4. Exercises
Chapter 30. Healing field
30.1. Fundamental equations
30.2. Exercises
Chapter 31. Small damage in composite materials
31.1. Scalar damage variable used
31.2. Damage evolution
31.3. Mechanics of small damage
31.4. Exercises
Chapter 32. Composition of damage variables
32.1. Basic concept and examples
32.2. Exercises
Index

George Z. Voyiadjis

Boyd Professor at the Louisiana State University, in the Department of Civil and Environmental Engineering. Voyiadjis is a Foreign Member of the Academia Europaea, the European Academy of Sciences, and the European Academy of Sciences and Arts. He is a Foreign Member of both the Polish Academy of Sciences, and the National Academy of Engineering of Korea. He is the recipient of the 2008 Nathan M. Newmark Medal of the American Society of Civil Engineers He is a Distinguished Member of the American Society of Civil Engineers; Fellow of the American Society of Mechanical Engineers, the Society of Engineering Science, the American Academy of Mechanics, and the Engineering Mechanics Institute of ASCE; and Associate Fellow of the American Institute of Aeronautics and Astronautics. Voyiadjis’ primary research interest is in plasticity and damage mechanics of metals, metal matrix composites, polymers, and ceramics with emphasis on the theoretical modeling, numerical simulation of material behavior, and experimental correlation. Research activities of particular interest encompass macro-mechanical and micro-mechanical constitutive modeling, experimental procedures for quantification of crack densities, inelastic behavior, thermal effects, interfaces, damage, failure, fracture, impact, and numerical modeling. He has 2 patents, over 364 refereed journal articles, and 23 books (12 as editor) to his credit. He has given over 420 presentations as plenary, keynote, and invited speaker as well as other talks. Over 68 graduate students (39 Ph.D.) completed their degrees under his direction.

Affiliations and expertise

Boyd Professor, Department of Civil and Environmental Engineering, Louisiana State University, USA

Peter I. Kattan

Peter I. Kattan is an Independent Researcher based in Amman, Jordan and has written three books on damage mechanics, one book on finite elements, and one book on composite materials. His research work is currently focused on damage mechanics with fabric tensors and the physical characterization of micro-crack distributions and their evolution. He has published extensively on the theory of plates and shells, constitutive modelling of inelastic materials and damage mechanics. He is currently a Visiting Professor at Louisiana State University in Baton Rouge, Louisiana.

Affiliations and expertise

Independent Researcher; Visiting Professor at Louisiana State University in Baton Rouge, Louisiana, USA

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health