Damage and Healing Mechanics of Materials

Metals and Metal Matrix Composites

1st Edition - June 1, 2025
Authors: George Z. Voyiadjis, Peter I. Kattan
Language: English
Hardback ISBN:
9 7 8 - 0 - 4 4 3 - 2 9 0 6 0 - 2
eBook ISBN:
9 7 8 - 0 - 4 4 3 - 2 9 0 6 1 - 9

Damage and Healing Mechanics of Materials: Metals and Metal Matrix Composites covers the fundamentals of damage mechanics, with various damage models presented coupled with elasti… Read more

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Damage and Healing Mechanics of Materials: Metals and Metal Matrix Composites covers the fundamentals of damage mechanics, with various damage models presented coupled with elastic and elasto-plastic behavior. Experimental investigations and the related data for damage in composite materials are included, as are computational modeling and simulation methods for investigating damage and healing in various materials and structures. Healing mechanics using both scalars and more general theory based on tensor notations are discussed, as are applications of damage mechanics. Undamageable materials, the generalized method of cells, phase field modeling, cyclic plasticity concepts, and more are all also covered.

1. Introduction

PART I: Isotropic Damage Mechanics - Scalar Formulation

2. Uniaxial Tension in Metals

3. Uniaxial Tension in Elastic Metal Matrix Composites

4. Uniaxial Tension in Elasto-Plastic Metal Matrix Composites: Vector Formulation of the Overall Approach

PART II: ANISOTROPIC DAMAGE MECHANICS - TENSOR FORMULATION

5. Damage And Elasticity in Metals

6. Damage And Plasticity in Metals

7. Metal Matrix Composites - Overall Approach

8. Metal Matrix Composites - Local Approach

9. Equivalence of the Overall and Local Approaches

10. Metal Matrix Composites - Local and Interfacial Damage

11. Symmetrization of the Effective Stress Tensor

12. Experimental Damage Investigation

13. High Cyclic Fatigue Damage for Uni-Directional Metal Matrix Composites

14. Anisotropic Cyclic Damage-Plasticity Models for Metal Matrix Composites

Part III: Advanced Topics in Damage Mechanics

15. Damage in Metal Matric Composites Using the Generalized Methods of Cells

16. The Kinematics of Damage for Finite-Strain Elasto-Plastic Solids

17. A Coupled Anisotropic Damage Model for the Inelastic Response of Composite Materials

Part IV: Damage Mechanics with Fabric Tensors

18. Damage Mechanics with Fabric Tensors

19. Continuum Approach to Damage Mechanics of Composite Materials with Fabric Tensors

20. Micromechanical Approach to Damage Mechanics of Composite Materials with Fabric Tensors

21. Experimental Study and Fabric Tensor Quantification of Micro-Crack Distributions in Composite Materials

Part V: Introduction to Healing Mechanics

22. Mechanics of Damage, Healing, Damageability, and Integrity of Materials

23. Introduction to the Mechanics and Design of Undamageable Materials

24. The Theory of Elastic Undamageable Materials

25. Governing Differential Equations for the Mechanics of Undamageable Materials

26. Continuum Damage-Healing Mechanics with Introduction to New Healing Variables

27. A Theory of Anisotropic Healing and Damage Mechanics of Materials

Part VI: Applications of Damage Mechanics

28. Damage Model for Lithium-Ion Batteries with Experiments and Simulation

29. Phase-Field Based Nonlocal Anisotropic Damage Mechanics Model

30. Fatigue Damage Analysis of Double-Lap Bolted Joints Considering the Effects of Hole Cold Expansion and Bolt Clamping Force

31. Fatigue and Fretting Fatigue Life Prediction of Double Lap-Bolted Joints Using a Continuum Damage Mechanics Based Approach

32. Analysis of the Fatigue Damage Evolution of Notch Specimens with Consideration of Cyclic Plasticity

George Z. Voyiadjis

Dr. Voyiadjis is a Member of the European Academy of Sciences, and Foreign Member of both the Polish Academy of Sciences, and the National Academy of Engineering of Korea. George Z. Voyiadjis is the Boyd Professor at the Louisiana State University, in the Department of Civil and Environmental Engineering. This is the highest professorial rank awarded by the Louisiana State University System. He is also the holder of the Freeport-MacMoRan Endowed Chair in Engineering. He joined the faculty of Louisiana State University in 1980. He is currently the Chair of the Department of Civil and Environmental Engineering. He holds this position since February of 2001. He also served from 1992 to 1994 as the Acting Associate Dean of the Graduate School. He currently also serves since 2012 as the Director of the Louisiana State University Center for GeoInformatics (LSU C4G; http://c4gnet.lsu.edu/c4g/ ). 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. Dr. Voyiadjis’ research has been performed on developing numerical models that aim at simulating the damage and dynamic failure response of advanced engineering materials and structures under high-speed impact loading conditions. This work will guide the development of design criteria and fabrication processes of high performance materials and structures under severe loading conditions. Emphasis is placed on survivability area that aims to develop and field a contingency armor that is thin and lightweight, but with a very high level of an overpressure protection system that provides low penetration depths. The formation of cracks and voids in the adiabatic shear bands, which are the precursors to fracture, are mainly investigated. He has two patents, over 332 refereed journal articles and 19 books (11 as editor) to his credit. He gave over 400 presentations as plenary, keynote and invited speaker as well as other talks. Over sixty two graduate students (37 Ph. D.) completed their degrees under his direction. He has also supervised numerous postdoctoral associates. Voyiadjis has been extremely successful in securing more than $30.0 million in research funds as a principal investigator/investigator from the National Science Foundation, the Department of Defense, the Air Force Office of Scientific Research, the Department of Transportation, National Oceanic and Atmospheric Administration (NOAA), and major companies such as IBM and Martin Marietta.

Affiliations and expertise

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

Peter I. Kattan

Peter I. Kattan has a PhD in Civil Engineering from Louisiana State University. He 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

Visiting Professor, Louisiana State University in Baton Rouge, Louisiana., USA

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