Scalar Damage and Healing Mechanics

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. 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.

• 1. Effective Stress2. Damage Evolution3. Decomposition of the Damage Variable4. Other Decomposition Issues5. Other Damage Variables6. Damage in Composite Materials - Overall Approach7. Damage in Composite Materials - Local Approach8. Complex Damage Variables9. Damage Described in Terms of Stiffness Degradation10. Damage Described in Terms of Area Reduction11. Damage and Healing Mechanics12. Evolution of Damage and Healing13. Small Damage and Small Healing14. Healing Processes in Series and in Parallel15. Thermodynamics of Damage and Healing16. Undamageable Materials 117. Undamageable Materials 218. Super Healing19. Singularity Formation20. Stages of the Damage Process21. Independent and Dependent Damage Processes22. Special Damage Processes Described Mathematically23. Damage in Graphene, Carbon Nanotubes, and Lithium Ion Batteries24. Logarithmic and Exponential Damage25. Integrity and Damageability26. Unhealable Damage and Undamageable Integrity27. Nonlinear Healing28. Stages of the Healing Process29. Integrity Field30. Healing Field31. Small Damage in Composite Materials32. Composition of Damage Variables