Thermodynamic modeling of creep damage in materials with different properties in tension and compression

International Journal of Solids and Structures

Volumn 37, Issue 24, 2000, Pages 3281-3303

  Voyiadjis, George Z ^a   Zolochevsky, Alexander ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Creep; Damage; Dislocation creep; Nonisothermal processes; Nonproportional loadings; Nucleation; Polycrystalline metals; Thermodynamic modeling

Indexed keywords

ALLOYS; COMPRESSION TESTING; CREEP; FRACTURE MECHANICS; MATHEMATICAL MODELS; METALS; TENSILE TESTING; THERMODYNAMIC PROPERTIES;

DAMAGE MECHANICS; DISLOCATION CREEP; NONISOTHERMAL PROCESSES;

POLYCRYSTALLINE MATERIALS;

CREEP; DAMAGE; THERMODYNAMICS;

EID: 0342803223     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00031-1     Document Type: Article

References (48)

1. Altenbach H., Altenbach J., Zolochevsky A. Erweiterte Deformationsmodelle und Versagenskriterien der Werkstoffmechanik. 1995;Deutscher Verlag für Grundstoffindustrie, Stuttgart.
2. Betten J. Kontinuumsmechanik. 1993;Springer-Verlag, Berlin.
3. Betten J., Sklepus S., Zolochevsky A. A creep damage model for initially isotropic materials with different properties in tension and compression. Engineering Fracture Mechanics. 59:1998;623-641.
4. Boyle J.T., Spence J. Stress Analysis for Creep. 1983;Butterworths, London.
5. Burger G., Wilkinson D.S. The effect of solute distribution on creep fracture in a Ni alloy. Krausz A.S. Time-Dependent Fracture: Proceeding of the Eleventh Canadian Conference. 1985;43-52 Martinus Nijhoff, Dordrecht.
6. Chaboche J.-L. The concept of effective stress applied to elasticity and viscoplasticity in the presence of anisotropic damage. Boehler J.-P. Mechanical Behaviour of Anisotropic Solids. 1982;737-760 Martinus Nijhoff, The Hague.
7. Chaboche J.-L. Continuum damage mechanics: Part 2. ASME Journal of Applied Mechanics. 55:1988;65-72.
8. Chaboche J.-L. Damage induced anisotropy: on the difficulties associated with active/passive unilateral condition. International Journal of Damage Mechanics. 1:1992;148-171.
9. Chaboche J.-L. Development of continuum damage mechanics for elastic solids sustaining anisotropic and unilateral damage. International Journal of Damage Mechanics. 2:1993;311-329.
10. Chaboche J.-L. Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. International Journal of Solids and Structures. 34:1997;2239-2254.
11. Chan K.S., Brodsky N.S., Fossum A.F., Bodner S.R., Munson D.E. Damage-induced nonassociated inelastic flow in rock salt. International Journal of Plasticity. 10:1994;623-642.
12. Chen I.W., Argon A.S. Creep cavitation in 304 stainless steel. Acta Metallurgica. 29:1981;1321-1333.
13. Cocks A.C.F., Leckie F.A. Creep constitutive equations for damaged materials. Wu T.Y., Hutchinson J.W. Advances in Applied Mechanics. vol. 25:1987;183-238 Academic Press, New York.
14. Davies P.W., Dutton R. Cavity growth mechanisms during creep. Acta Metallurgica. 14:1966;38-40.
15. Elber W. Fatigue crack closure under cyclic tension. Engineering Fracture Mechanics. 2:1970;37-45.
16. Evans H.E. Mechanisms of Creep Fracture. 1984;Elsevier Applied Science Publishers, London.
17. Gambarotta L., Lagomarsino S. A microcrack damage model for brittle materials. International Journal of Solids and Structures. 30:1993;177-198.
18. Garofalo F. Fundamentals of Creep and Creep Rupture in Metals. 1965;Macmillan, New York.
19. Halm D., Dragon A. A model of anisotropic damage by mesocrack growth; unilateral effect. International Journal of Damage Mechanics. 5:1996;384-402.
20. Hansen N.R., Schreyer H.L. A thermodynamically consistent framework for theories of elastoplasticity coupled with damage. International Journal of Solids and Structures. 31:1994;359-389.
21. Hansen N.R., Schreyer H.L. Damage deactivation. ASME Journal of Applied Mechanics. 62:1995;450-458.
22. Hayakawa K., Murakami S. Thermodynamical modeling of elastic-plastic damage and experimental validation of damage potential. International Journal of Damage Mechanics. 6:1997;333-363.
23. Hayhurst D.R. Creep rupture under multi-axial states of stress. Journal of Mechanics and Physics of Solids. 20:1972;381-390.
24. Hayhurst D.R., Trampczynski W.A., Leckie F.A. Creep rupture under nonproportional loading. Acta Metallurgica. 28:1980;1171-1183.
25. Johnson A.E., Henderson J., Mathur V.D. Combined stress creep fracture of a commercial copper at 250 deg Centigrade. The Engineer. 202:1956;261-265.
26. Kachanov L.M. Time of the rupture process under creep conditions. Izvestiya Akademii Nauk SSSR. Otdelenie Technicheskich Nauk. 8:1958;26-31.
27. Krajcinovic D. Continuum damage mechanics revisited: basic concepts and definitions. ASME Journal of Applied Mechanics. 52:1985;829-834.
28. Krajcinovic D. Damage Mechanics. 1996;Elsevier Science, Amsterdam.
29. Lemaitre J. A Course on Damage Mechanics. 1992;Springer-Verlag, Berlin.
30. Lemaitre J., Chaboche J.-L. Mechanics of Solid Materials. 1990;Cambridge University Press, Cambridge.
31. Lubarda V.A., Krajcinovic D. Damage tensors and the crack density distribution. International Journal of Solids and Structures. 30:1993;2859-2877.
32. Lubarda V.A., Krajcinovic D., Mastilovic S. Damage model for brittle elastic solids with unequal tensile and compressive strengths. Engineering Fracture Mechanics. 49:1994;681-697.
33. Matzenmiller A., Sackman J.L. On damage induced anisotropy for fiber composites. International Journal of Damage Mechanics. 3:1994;71-86.
34. Mou Y.H., Han R.P.S. Damage evolution in ductile materials. International Journal of Damage Mechanics. 5:1996;241-258.
35. Murakami S., Ohno N. A continuum theory of creep and creep damage. Ponter A.R.S., Hayhurst D.R. Creep in Structures. 1981;422-444 Springer-Verlag, Berlin.
36. Ohji K., Kubo S. Fracture mechanics evaluation of crack growth behavior under creep and creep-fatigue conditions. Ohtani R., Ohnami M., Inoue T. High Temperature Creep-Fatigue. 1988;91-113 Elsevier Applied Science, London.
37. Onat E.T., Leckie F.A. Representation of mechanical behavior in the presence of changing internal structure. ASME Journal of Applied Mechanics. 55:1988;1-10.
38. Rabotnov Yu.N. On the equation of state for creep. Koiter W.T. Prager Anniversary Volume. 1963;307-315 McMillian, New York.
39. Rabotnov Yu.N. Creep Problems in Structural Members. 1969;North-Holland, Amsterdam.
40. Rashid M.M. A multiaxial constitutive model for creep cavitation damage in metals. Recent Advances in Damage Mechanics and Plasticity. AMD-Vol.132/MD-Vol.30:1992;219-234 ASME, New York.
41. Riedel H. Fracture at High Temperatures. 1987;Springer-Verlag, Berlin.
42. Rubanov, V.V., 1987. Experimental foundation of the constitutive equations of creep for materials with different behavior in tension and compression. Ph.D. thesis, Institute of Hydrodynamics, Novosibirsk
43. Spencer A.J.M. Theory of invariants. Eringen A.C. Continuum Physics. vol. 1:1971;240-353 Academic Press, New York.
44. Tetelman A.S., McEvily A.J. Jr. Fracture of Structural Materials. 1967;John Wiley, New York.
45. Tilly G.P., Harrison G.F. A comparison between the tensile and compressive creep behaviour of an 11 per cent chromium steel. Journal of Strain Analysis. 7:1972;163-169.
46. Tvergaard V. Micromechanics of damage in metals. Bakker A. Mechanical Behaviour of Materials. 1995;23-43 Delft University Press, Delft.
47. Zolochevskii A.A. Allowance for differences in strain resistance in the creep of isotropic and anisotropic materials. Journal of Applied Mechanics and Technical Physics. 23:1982;591-596.
48. Zolochevsky A.A. Creep of isotropic and anisotropic materials with different behaviour in tension and compression. Zyczkovski M. Creep in Structures. 1991;217-220 Springer-Verlag, Berlin.