Anisotropic damage effect tensors for the symmetrization of the effective stress tensor

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 1, 1997, Pages 106-110

  Voyiadjis, G Z ^a   Park, T ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; KINEMATICS; MATRIX ALGEBRA; STRESSES; TENSORS;

CONTINUUM DAMAGE MECHANICS; CURRENT STRESS TENSOR; SYMMETRIC EFFECTIVE STRESS TENSOR;

CONTINUUM MECHANICS;

EID: 0031098959     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2787259     Document Type: Article

References (23)

1. Betten, J., 1983, “Damage Tensors in Continuum Mechanics,” Journal of Mécanique Théorique et Appliquée, Vol. 2, No. 1, pp. 13-32.
2. Chaboche, J. L., 1979, “Le concept de contrainte effective appliqué à l’élasticité et à la viscoplasticité en présence d’un endommagement anisotrope,” Colooque Euromech 115, Villard de Lans, June.
3. Chaboche, J. L., 1981, “Continuum Damage Mechanics—A Tool to Describe Phenomena Before Crack Initiation,” Nuclear Engineering and Design, Vol. 64, pp. 233-247.
4. Chaboche, J. L., 1988a, “Continuum Damage Mechanics: Part I—General Concepts,” ASME Journal of Applied Mechanics, Vol. 55, pp. 59-64.
5. Chaboche, J. L., 1988b, “Continuum Damage Mechanics: Part II—Damage Growth, Crack Initiation, and Crack Growth,” ASME Journal of Applied Mechanics, Vol. 55, pp. 65-72.
6. Cordebois, J. P., and Sidoroff, F., 1982, “Anisotropic Damage in Elasticity and Plasticity,” Journal de Mécanique Théorique et Appliquée, Numéro Spécial, pp. 45-60.
7. Ju, J. W., 1990, “Isotropic and Anisotropic Damage Variables in Continuum Damage Mechanics,” Journal of Engineering Mechanics, Vol. 116, No. 12, pp. 2764-2770.
8. Kachanov, L. M., 1958, “On the Creep Fracture Time,” Izv. Adad. Nauk. USSR Otd. Tekh., Vol. 8, pp. 26-31.
9. Krajcinovic, D., 1983, “Constitutive Equations for Damaging Materials,” ASME Journal of Applied Mechanics, Vol. 50, pp. 335-360.
10. Krajcinovic, D., 1985, “Continuous Damage Mechanics Revisited: Basic Concepts and Definitions,” ASME Journal of Applied Mechanics, Vol. 52, pp. 829-834.
11. Krajcinovic, D., and Foneska, G. U., 1981, “The Continuum Damage Theory for Brittle Materials,” ASME Journal of Applied Mechanics, Vol. 48, pp. 809-834.
12. Lee, H., Li, G., and Lee, S., 1986, “The Influence of Anisotropic Damage on the Elastic Behavior of Materials,” International Seminar on Local Approach of Fracture, Moret-sur-Loing, France, June, pp. 79-90.
13. Lemaitre, J., 1985, “A Continuous Damage Mechaics Model of Ductile Fracture,” ASME Journal of Engineering Materials and Technology, Vol. 107, No. 42, pp. 83-89.
14. Lemaitre, J., 1986, “Local Approach of Fracture,” Engineering Fracture Mechanics, Vol. 25, No. 5-6, pp. 523-537.
15. Lu, T. J., and Chow, C. L., 1990, “On Constitutive Equations of Inelastic Solids With Anisotropic Damage,” Theoretical and Applied Fracture Mechanics, Vol. 14, pp. 187-218.
16. Murakami, S., 1983, “Notion of Continuum Damage Mechanics and Its Application to Anisotropic Creep Damage Theory,” Journal of Engineering Materials and Technology, Vol. 105, pp. 99-105.
17. Murakami, S., 1988, “Mechanical Modeling of Material Damage,” ASME Journal of Applied Mechanics, Vol. 55, pp. 280-286.
18. Murakami, S., and Ohno, N., 1980, “A Continuum Theory of Creep and Creep Damage,” Creep in Structures, A. R. S. Ponter and D. R. Hayhurst, eds., IUTAM 3rd Symposium, Leichester, U.K., Sept. 8-12, Springer-Verlag, New York, pp 422-443.
19. Sidoroff, F., 1979, “Description of Anisotropic Damage Application to Elasticity,” Mechanical Behavior of Anisotropic Solids (No. 295 Comportement Mecha-nique Des Solides Anisotropes), J.-P. Boehler, ed., Martinus Nijhoff, Dordrecht, The Netherlands.
20. Sidoroff, F., 1980, “Description of Anisotropic Damage Application to Elasticity,” Physical Non-Linearities in Structural Analysis (IUTAM Series), J. Huit and J. Lemaitre, eds., Springer-Verlag, New York, pp. 237-244.
21. Voyiadjis, G. Z., and Kattan, P. I., 1992, “A Plasticity-Damage Theory for Large Deformation of Solids, Part I: Theoretical Formulation,” International Journal of Engineering Science, Vol. 30, No. 9, pp. 1089-1108.
22. Voyiadjis, G. Z., and Park, T., 1995, “Local and Interfacial Damage Analysis of Metal Matrix Composites,” International Journal of Engineering Science, Vol 33, No. 11, pp. 1595-1621.
23. Voyiadjis, G. Z., and Venson, A. R., 1995, “Experimental Damage Investigation of a SiC-Ti Aluminide Metal Matrix Composite,” International Journal of Damage Mechanics, Vol. 4. No. 4, Oct., pp. 338-361.