A creep damage model for initially isotropic materials with different properties in tension and compression

Engineering Fracture Mechanics

Volumn 59, Issue 5, 1998, Pages 623-641

  Betten, J ^a   Sklepus, S ^a   Zolochevsky, A ^a,b  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Damage; Damage induced anisotropy; Different creep in tension and compression; Different damage in tension and compression; Parallel planar mesocracks

Indexed keywords

ANISOTROPY; CREEP; MATHEMATICAL MODELS; STRESS ANALYSIS;

ISOTROPIC MATERIALS;

CRACK PROPAGATION;

EID: 0032010445     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(97)00143-4     Document Type: Article

References (50)

1. Ashby, M. F. and Brown, L. M., Perspectives in Creep Fracture, Pergamon, Oxford, 1983.
2. Basista, M., Rozprawy Inzynierskie, 1988, 36, 707-737.
3. Garofalo, F., Fundamentals of Creep and Creep Rupture in Metals, Macmillan, New York, 1965.
4. Tetelman, A. S. and McEvily, A. J. Jr, Fracture of Structural Materials. Wiley, New York, 1967.
5. Lagneborg, R., Creep: mechanisms and theories. In Creep and Fatigue in High Temperature Alloys, ed. Bressers, J. Elsevier, London, 1981, pp. 41-71.
6. Evans, H. E., Mechanisms of Creep Fracture, Elsevier, London, 1984.
7. Tsai, R. L. and Raj, R., Acta Metallurgica, 1982, 30, 1043-1058.
8. Riedel, H., Fracture at High Temperatures. Springer, Berlin, 1987.
9. Johnson, A. E., Henderson, J. and Mathur, V. D., The Engineer, 1956, 24, 261-265.
10. Trampczynski, W. A., Hayhurst, D. R. and Leckie, F. A., Journal of the Mechanics and Physics of Solids, 1981, 29, 353-374.
11. Hayhurst, D. R., Journal of the Mechanics and Physics of Solids, 1972, 20, 381-390.
12. Hayhurst, D. R., Trampczynski, W. A. and Leckie, F. A., Acta Metallurgica, 1980, 28, 1171-1183.
13. Chen, I. W. and Argon, A. S., Acta Metallurgica, 1981, 29, 1321-1333.
14. Evans, A. G., High temperature failure of ceramics. In Recent Advances in Creep and Fracture of Engineering Materials and Structures, ed. Wilshire, B. and Owen, D. R. J. Pineridge, Swansea, 1982, pp. 53-133.
15. Burger, G. and Wilkinson, D. S., The effect of solute distribution on creep fracture in a Ni alloy. In Time-Dependent Fracture: Proceeding of the Eleventh Canadian Fracture Conference, Ottawa, ed. Krausz, A. S. Martinus Nijhoff, Dordrecht, 1985, pp. 43-52.
16. Krajcinovic, D. and Fonseka, G. U., Transactions of ASME. Journal of Applied Mechanics, 1981, 48, 809-824.
17. Krajcinovic, D., Damage Mechanics, Elsevier, Amsterdam, 1996.
18. Lemaitre, J., Formulation and identification of damage kinetic constitutive equations. In Continuum Damage Mechanics. Theory and Applications (CISM Courses and Lectures, no. 295), ed. Krajcinovic, D. and Lemaitre, J. Springer, Wien, 1987, pp. 37-89.
19. Chaboche, J. L., International Journal of Damage Mechanics, 1992, 1, 148-171.
20. Halm, D. and Dragon, A., International Journal of Damage Mechanics, 1996, 5, 384-402.
21. Tilly, G. P. and Harrison, G. F., Journal of Strain Analysis, 1972, 7, 163-169.
22. Chaboche, J. L., Transactions of ASME. Journal of Applied Mechanics, 1988, 55, 65-72.
23. Chan, K. S., Brodsky, N. S., Fossum, A. F., Bodner, S. R. and Munson, D. E., International Journal of Plasticity, 1994, 10, 623-642.
24. Weiss, J. and Schulson, E. M., Acta Metallurgica et Materialia, 1995, 43, 2303-2315.
25. Davies, P. W. and Dutton, R., Acta Metallurgica, 1966, 14, 38-40.
26. Elber, W., Engineering Fracture Mechanics, 1970, 2, 37-45.
27. Ohji, K. and Kubo, S., Fracture mechanics evaluation of crack growth behavior under creep and creep-fatigue conditions. In High Temperature Creep-Fatigue, ed. Ohtani, R., Ohnami, M. and Inoue, T. Elsevier, London, 1988, pp. 91-113.
28. Choi, G., Acta Metallurgica et Materialia, 1995, 43, 1489-1494.
29. Lemaitre, J., A Course on Damage Mechanics. Springer, Berlin, 1992.
30. Betten, J., Kontinuumsmechanik. Springer, Berlin, 1993.
31. Rabotnov, and Y. N., Creep Problems in Structural Members, North-Holland, Amsterdam, 1969.
32. Zolochevsky, A. A., Creep of isotropic and anisotropic materials with different behaviour in tension and compression. In Creep in Structures, ed. Zyczkovski, M. Springer, Berlin. 1991, pp. 217-220.
33. Altenbach, H., Altenbach, J. and Zolochevsky, A., Erweiterte Deformationsmodelle und Versagenskriterien der Werkstoffmechanik, Deutscher Verlag für Grundstoffindustrie, Stuttgart, 1995.
34. Cocks, A. C. F. and Leckie, F. A., Creep constitutive equations for damaged materials. In Advances in Applied Mechanics, vol. 25, ed. Wu, T. Y. and Hutchinson, J. W. Academic Press, New York, 1987, pp. 183-238.
35. Tvergaard, V., Micromechanics of damage in metals. In Mechanical Behaviour of Materials, ed. Bakker, A. Delft University Press, Delft, 1995, pp. 23-43.
36. Stojimirovic, A. and Krajcinovic, D., Mechanics of Materials, 1990, 10, 73-82.
37. Kachanov, L. M., Introduction to Continuum Damage Mechanics. Martinus Nijhoff, Dordrecht, 1986.
38. Murakami, S. and Ohno, N., A continuum theory of creep and creep damage. In Creep in Structures, ed. Ponter, A. R. S. and Hayhurst, D. R.. Springer, Berlin, 1981, pp. 422-444.
39. Betten, J., Journal de Mécanique Théorique et Appliquée, 1983, 2, 13-32.
40. Chaboche, J. L., The concept of effective stress applied to elasticity and viscoplasticity in the presence of anisotropic damage. In Mechanical Behaviour of Anisotropic Solids, ed. Boehler, J.-P. Martinus Nijhoff, The Hague, 1982, pp. 737-760.
41. Matzenmiller, A. and Sackman, J. L. International Journal of Damage Mechanics, 1994, 3, 71-86.
42. Spencer, A. J. M., Theory of invariants. In Continuum Physics, Vol. 1, ed. Eringen, A. C. Academic Press, New York, 1971, pp. 240-353.
43. Rubanov, V. V., Experimental foundation of the constitutive equations of creep for materials with different behaviour in tension and compression, Ph.D. thesis, Institute of Hydrodynamics, Novosibirsk, 1987.
44. Gorev, B. V., Rubanov, V. V. and Sosnin, O. V., Journal of Applied Mechanics and Technical Physics, 1979, 4, 121-128.
45. Gorev, B. V., Rubanov, V. V. and Sosnin, O. V., Creep of materials with different properties in tension and compression. In Strength of Materials and Structural Members under Multiaxial Loading, ed. Pisarenko, G. S. Naukova Dumka, Kiev, 1978, pp. 223-231.
46. Billington, E. W., International Journal of Solids and Structures, 1985, 21, 355-372.
47. Betten, J., Journal of Rheology, 1981, 25, 565-581.
48. Gorev, B. V., Rubanov, V. V. and Sosnin, O. V., Strength of Materials, 1979, 7, 62-67.
49. Betten, J., Sklepus, S. and Zolochevsky, A., A microcrack description of creep damage in crystalline solids with different behaviour in tension and compression (submitted for publication).
50. Voyiadjis, G. Z. and Zolochevsky, A., Creep theory for transversely isotropic solids sustaining unilateral damage (submitted for publication).