The main lines of a Continuum Damage Mechanics Modelling are reviewed, for applications to brittle materials treated as elastic damageable ones.
The proposed damage models consider in the same framework the cases of initially isotropic materials like concrete and anisotropic composites.
Attention is focused on the damage deactivation effects and on the possibility to describe irreversible strains directly associated to the damaging processes without any additional dissipation. Finally, the model is applied to two particular SiC/SiC and C/SiC composites.
Get full access to this article
View all access options for this article.
References
1.
1. Kachanov, L. M.1958. -Times of the Rupture Process under Creep Conditions,"Isv. Akad. Nauk, Old Tekh. Nauk., n°8, pp. 26-31.
2.
2. Kachanov, L. M.1986. "Introduction to Continuum Damage Mechanics,"Martinus Nijhoff Dordrecht, The Netherlands.
3.
3. Hult, J.1979. "Continuum Damage Mechanics. Capabilities, Limitations and Promises,"Mechanisms of Deformation and Fracture, Pergamon, Oxford: pp. 233-347.
5. Lemaitre, J. and J. L. Chaboche. 1985. "Mecanique des Materiaux Solides,"Dunod, Paris: Cambridge Univ. Press, English edition, 1990.
6.
6. Chaboche, J. L.1988. "Continuum Damage Mechanics: Parts I and 11,"ASME J. of Applied Mechanics, 55:59-72.
7.
7. Lemaltre, J.1992. "A Course on Damage Mechanics,"Springer Verlag.
8.
8. Gernain, P.1973. "Cours de Mecanique des Milieux Continus," Tome I, Masson, Pis.
9.
9. Germain, P., Q. S. Nguyen and P. Suquet. 1983. "Continuum Thermodynamics,"ASME J. of Applied Mechanics, 50:1010-1020.
10.
10. Chaboche, J. L. 1977. "Sur l'Utilisation Des Variables D'tat Interne Pour La Description du Comportement Viscoplastique et de la Rupture par Endommagement,"Symposium Franco-Polonais de Rhuologie et Mecanique, Cracovie.
11.
11. Chaboche, J. L.1992. "Damage Induced Anistropy: On the Difficulties Associated with the Active/Passive Unilateral Condition,"Int. J. of Damage Mechanics, 1(2):148-171.
12.
12. Cordebois, J. P. and F. Sidoroff. 1979. "Anisotropie elastique Induite par Endommagement."Colloque Euromech 115, Grenoble, Editions du CNRS, n°295, 1982.
13.
13. Chow, C. L. and J. Wang. 1987. "An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture,"Engineering Fracture Mechanics, 27(5):547-558.
14.
14. Hoenig, A.1979. "Elastic Moduli of a Non Randomly Cracked Body,"Int. J. Solids Structures, 15:137-154.
15.
15. Kachanov, M.1980. "Continuum Model of Medium with Cracks,"J. of Engineering Mechanics Division, ASCE, 106(EM5):1039-1051.
16.
16. Kachanov, M.1993. "Elastic Solids with Many Cracks and Related Problems,"Advances in Applied Mechanics, Vol. 30, Eds. Hutchingson and Wu, Academic Press, p. 259-445.
17.
17. Murakami, S. and N. Ohno. 1980. "A Continuum Theory of Creep and Creep Damage,"3rd IUTAM Symposium on Creep in Stnrctures, Leicester.
18.
18. Murakami, S. and Y. Liu. 1992. "Interrelation between Damage Variables on Continuum Damage Mechanics and Metallographical Parameters in Creep Damage,"Int. J. of Damage Mechanics, 1(2):172-190.
19.
19. Ju, J. W.1990. "Isotropic and Anisotropic Damage Variables in Continuum Damage Mechanics,"J. of Engineering Mechanics, vol. 116, n'12, pp. 2764-2770.
20.
20. Ladeveze, P.1983. "Sur une Theorie de l'Endommagement Anisotrope," Rapport Interne n°34, Laboratoire de Mecanique et Technologie, Cachan.
21.
21. Ladavize, P. 1983. "On an Anisotropic Damage Theory,"Failure Criteria of Structural Media, CNRS Int. Colloquium n°351, Villard-de-Lans, Boehler ed. Balkena, Rotterdam, 1993.
22.
22. Chaboche, J. L. 1979. "Le Concept de Contrainte Effective, Applique a l'lasticite et a la Viscoplasticite en Presence d'un Endommagement Anisotrope,"Col. Euromech 115, Grenoble., Editions du CNRS, n°295, 1982, P. 737-760, English translation by R.A.E. Farnborough, Trans 2039, 1980.
23.
23. Horii, H. and S. Nemat-Nasser. 1983. "Overall Moduli of Solids with Microcracks: Load Induced Anisotropy,"J. Mech. Phys. Solids, 3(2):155-171.
24.
24. Ju, J. W.1989. "On Energy-Based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects,"Int. J. Solids and Structures, 25(7):803-833.
25.
25. Chaboche, J. L.1993. "Development of Continuum Damage Mechanics for Elastic Solids Sustaining Anisotropic and Unilateral Damage,"Int. J. of Damage Mechanics, 2:311-329.
26.
26. Chaboche J. L. 1990. "On the Description of Damage Induced Anisotropy and Active/Passive Effect,"ASME 1990 Winter Annual Meeting, Dallas.
27.
27. Krajcinovic, D. and G. U. Fonseka. 1981. "The Continuous Damage Theory of Brittle Materials, Parts I and II,"J. of Applied Mechanics, ASME, 48:809-824.
28.
28. Ramtani, S.1990. "Contribution i la Modilisation du Comportement Multiaxial du Beton Endommage Avec Description du Caractere Unilateral,"These Univ.Paris VI.
29.
29. Chaboche, J. L.1992. "A New Unilateral Condition for the Description of Material Behaviour with Anisotropic Damage,"C. R. Acad. Sci., Paris, t. 314, serie 11, p. 1395-1401.
30.
30. He, Q. C. and A. Curnier. 1993. "Dissymetric Effect of Damage on Elastic Moduli Tension and Compression,"First forum of Young European Researchers, Liege.
31.
31. Ladeveze, P.1990. "A Damage Approach for Composite Structure: Theory and Identification," in Mechanical Identification of Composites, edited by A. Vautrin and H. Sol. Elsevier Applied Science, p. 44-57.
32.
32. Allix, O., P. Ladaveze, E. Le Dantec and E. Vittecoq. 1990. "Damage Mechanics for Composite Laminates under Complex Loading," Yielding Damage and Failure of Anisotropic Solids, EGF5, edited by J. P. Boheler). Mechanical Engineering Publications, London, p. 551-569.
33.
33. Allix, O., C. Cluzel, A. Gasser and P. Ladeveze. 1993. "Modelisation des Composites Céramique-Ceramique a Différentes Échelles,"Revue des Composites et des Materiaux Advances, vol. 3, n' HS p. 277-297.
34.
34. Perreux, D. and C. Oytana. 1993. "Continuum Damage Mechanics for Microcracked Composites,"Comp. Eng., 3(2):115-122.
35.
35. Baste, S., C. Charcosset and F. Sidoroff. 1989. "Elastic-Plastic Damage Models for Three-Directional Composite Materials,"JNC5, p. 766-776
36.
36. Maire, J. F. 1992. "Etude Theorique et Experimentale du Comportement de Materiaux Composites en Contraintes Planes," these de doctorat, Univ. Besancon.
37.
37. Talreja, R.1985. "Transverse Cracking and Stiffness Reduction in Composite Laminates,"J. Comp. Mater., 19:355-375
38.
38. Chaboche, J. L., P. M. Lesne and J. F. Maire. 1994: "Macroscopic Modeling of Inelastic and Damage Processes with Unilateral Effects in Thermostructural Composite Materials,; Symp. on Damage Mechanics in Composites, ASME Winter Annual Meeting, Chicago: Nov. 1994.
39.
39. Saanouni, K. and P. M. Lesne. 1992: "Sur la Description Phenomenologique des Deformations An elastiques dans les composites endommageables,"C. R. Acad. Sci. Paris, t. 315, serie 11, p. 1165-1170.
40.
40. Hermann, G. and J. Kestin. 1989. "On Thermodynamic Foundation of a Damage Theory in Inelastic Solids," Workshop "Cracking and Damage: Strain Localization or Size Effect,"J. Mazars et Z. P. Bazant eds., Elsevier Applied Science, 228-232.
41.
41. Lesne, P. M. and K. Saanouni. 1993. "Modelisation des Deformations Irreversibles dues a l'Endommagement dans les Materiaux Composites Élastiques Fragiles,"La Recherche Airospatiale, 1993(2):23-37.
42.
42. Lesne, P. M., J. F. Maire and J. L. Chaboche. 1993. "Modelisation macroscopique du Comportement Mecanique des Composites C/SiC a Differentes Temperatures." Rapport Technique no 10/6138RYO31R.
43.
43. Baste, S., R. El Guerjouma and A. Gerard. 1989. "Mesure de l'Endommagement Anisotrope d'un Composite Ceramique-Ceramique par une Methode Ultrasonore."Revue Physique Appiquee, 24:721-731.
44.
44. Baste, S. and R. El Bouazaoui. 1992. "Evaluation de l'Endommagement Anisotrope d'un Composite Carbone-SiC 2D par une Methode Ultrasonore," Conv. de Recherche SEP n°479192.
