Extending the theory of creep to viscoplasticity

Journal of Pressure Vessel Technology, Transactions of the ASME

Volumn 116, Issue 1, 1994, Pages 67-75

  Freed, A D ^a   Walker, K P ^b   Verrilli, M J ^a  

^a NASA GLENN RESEARCH CENTER   (United States)

^b Engineering Science Software Inc   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COPPER; COPPER ALLOYS; CREEP; PLASTICITY; VISCOPLASTICITY;

CHARACTERIZATION; CODES (SYMBOLS); COMPUTATION THEORY; COPPER; COPPER ALLOYS; CREEP; EFFICIENCY; ELASTICITY; KINETIC THEORY; MATHEMATICAL MODELS; STRAIN; STRESSES;

COMPUTATIONAL EFFICIENCY; HYPERBOLIC RELATIONSHIP; INELASTICITY; KINETICS EQUATION; POWER LAW RELATIONSHIP; STEADY STATE;

VISCOPLASTICITY;

EID: 0028375186     PISSN: 00949930     EISSN: 15288978     Source Type: Journal    
DOI: 10.1115/1.2929560     Document Type: Article

References (44)

1. Materials Properties Manual, 1986, Vol. 3, 4th Edition, Rockwell International, Rocketdyne Division, Canoga Park, CA.
2. Aifantis, E. C., 1986, “On the Structure of Single Slip and its Implications for Inelasticity,” eds., J. Gittus et al., Large Deformations of Solids, Elsevier, Amsterdam, Holland, pp. 283-325.
3. Argon, A. S., and Bhattacharya, A. K., 1987, “Primary Creep in Nickel: Experiments and Theory,” Acta Metallurgica, Vol. 35, pp. 1499-1514.
4. Argon, A. S., and Takeuchi, S., 1981, “Internal Stresses in Power-LawCreep,” Acta Metallurgica, Vol. 29, pp. 1877-1884.
5. Armstrong, P. J., and Frederick, C. O., 1966, “A Mathematical Representation of the Multiaxial Bauschinger Effect,” Central Electric Generating Board, Berkeley Nuclear Laboratories, Report RD/B/N731.
6. Ashby, M. F., 1972, “A First Report on Deformation-Mechanism Maps,” Acta Metallurgica, Vol. 20, pp. 887-897.
7. Barrett, C. R., and Sherby, O. D., 1964, “Steady-State Creep Characteristics of Polycrystalline Copper in the Temperature Range 400° to 950°C,” Trans. AIME, Vol. 230, pp. 1322-1327.
8. Cadek, J., 1987, “The Back Stress Concept in Power Law Creep of Metals: A Review,” Materials Science Engineering, Vol. 94, pp. 79-92.
9. Chaboche, J.-L., 1977, “Viscoplastic Constitutive Equations for the Description of Cyclic and Anisotropic Behavior of Metals,” Buiietin Academy of Pol. Science, Series Science Technol., Vol. 25, pp. 39-48.
10. Chaboche, J.-L., and Rousselier, G., 1983, “On the Plastic and Viscosplastic Constitutive Equations,” ASME Journal of Pressure Vessel Technology, Vol. 105, pp. 153-158.
11. Conway, J. B., Stentz, R. H., and Berling, J. T., 1975, “High-Temperature, Low-Cycle Fatigue of Copper-Base Alloys for Rocket Nozzles; Part I-Data Summary for Materials Tested in Prior Programs,” NASA CR-134908, Nov.
12. Dafalias, Y. F., and Popov, E. P., 1975, “A Model of Nonlinearly Hardening Materials for Complex Loading,” Acta Mech., Vol. 21, pp. 173-192.
13. Dorn, J. E., 1954, “Some Fundamental Experiments on High Temperature Creep,” Journal of Mechanics and Physics of Solids, Vol. 3, pp. 85-116.
14. Feltham, P., and Meakin, J. D., 1959, “Creep in Face-Centered Cubic Metals With Special Reference to Copper,” Acta Metallurgica, Vol. 7, pp. 614-627.
15. Freed, A. D., 1988, “Thermoviscoplastic Model With Application to Copper,” NASA TP-2845, Dec.
16. Freed, A. D., and Verrilli, M. J., 1988, “A Viscoplastic Theory Applied to Copper,” NASA TM-100831, eds., G. Cailletaud, et al., The Inelastic Behaviour of Solids: Models and Utilization, Proc. MECAMAT, Besançon, France, pp. 27-39.
17. Freed, A. D., and Walker, K. P., 1990, “Steady-State and Transient Zener Parameters in Viscoplasticity: Drag Strength versus Yield Strength,” (NASA TM -102487), Applied Mechanics Review, Vol. 43, No, 5, Pt. 2, pp. S328-S337.
18. Freed, A. D., and Walker, K. P., 1993a, “Viscoplasticity With Creep and Plasticity Bounds,” International Journal of Plastic,-Vol. 9, pp. 213-242.
19. Freed, A. D., and Walker, K. P., 1993b, “Viscoplastic Model Development With an Eye Towards Characterization,” ASME Journal of Engineering Materials and Technology, submitted for publication.
20. Freed, A. D., Chaboche, J.-L., and Walker, K. P., 1991, “A Viscoplastic Theory with Thermodynamic Considerations,” Acta Mech., Vol. 90, pp. 155- 174.
21. Freed, A. D., Raj, S. V., and Walker, K. P., 1992, “Stress Versus Temperature Dependence of Activation Energies for Creep,” ASME Journal of Engineering Materials and Technology, Vol. 114, pp. 46-50.
22. Garofalo, F., 1963, “An Empirical Relation Defining the Stress Dependence of Minimum Creep Rate in Metals,” Trans. AIME, Vol. 227, pp. 351-356.
23. Jenkins, W. D., and Digges, T. G., 1951, “Creep of Annealed and Cold-Drawn High-Purity Copper,” NBS Journal of Res., Vol. 47, pp. 272-287.
24. Kocks, U. F., Argon, A. S., and Ashby, M. F., 1975, “Thermodynamics and Kinetics of Slip,” eds., B. Chalmers et al., Progress in Materials Science, Vol. 19, Pergamon Press, Oxford, U.K.
25. Landgraf, R. W., Morrow, J., and Endo, T., 1969, “Determination of the Cyclic Stress-Strain Curve,” Journal of Materials, Vol. 4, pp. 176-188.
26. Lewis, J. R., 1970, “Creep Behavior of NARloy Z,” Rockwell International, Rocketdyne Division, Canoga Park, CA, Report MA-SSE-70-902, July.
27. Lowe, T. C., and Miller, A. K., 1983, “The Nature of Directional Strain Softening,” Scripta Metallurgica, Vol. 17, pp. 1177-1182.
28. Lowe, T. C., and Miller, A, K., 1986, “Modeling Internal Stresses in the Nonelastic Deformation of Metals,” ASME Journal of Engineering Materials and Technology, Vol. 108, pp. 365-373.
29. Marquis, D., 1979, “Modélisation et Identification de L’écrouissage Anisotrope des Métaux,” Université Paris, France.
30. McKnight, R. L., 1993, GE Aircraft Engines, Cincinnati, OH, personal communication.
31. Miller, A., 1976, “An Inelastic Constitutive Model for Monotonie, Cyclic, and Creep Deformation,” ASME Journal of Engineering Materials and Technology, Vol. 98, pp. 97-105.
32. von Mises, R., 1913, “Mechanik der festen Körper im plastisch-deformablen Zustand,” Nachr. Ges. Wiss., Gottingen, Math. Phys. Kl., pp. 582-592.
33. Nix, W. D., and Ilschner, B., 1980, “Mechanisms Controlling Creep of Single Phase Metals and Alloys,” eds., P. Haasen et al., Strength of Metals and Alloys, Pergamon Press, Oxford, U.K., pp. 1503-1530.
34. Odqvist, F. K. G., 1974, Mathematical Theory of Creep and Creep Rupture, 2nd Edition, Oxford University Press, London, U.K.
35. Pahutovä, M., Cadek, J., and Rys, P., 1971, “High Temperature Creep of Copper,” Phil. Magazine, Vol. 23, pp. 509-517.
36. Phillips, A., 1986, “A Review of Quasistatic Experimental Plasticity and Viscoplasticity,” International Journal of Plastics, Vol. 2, pp. 315-328.
37. Prager, W., 1949, “Recent Developments in the Mathematical Theory of Plasticity,” Journal of Applied Physics, Vol. 20, pp. 235-241.
38. Raj, S. V., and Langdon, T. G., 1989, “Creep Behavior of Copper at Intermediate Temperatures-I. Mechanical Characteristics,” Acta Metallurgica, Vol. 37, pp. 843-852.
39. Sherby, O. D., and Burke, P. M., 1968, “Mechanical Behavior of Crystalline Solids at Elevated Temperature,” eds., B. Chalmers and W. Hume-Rothery, Progress in Materials Science, Vol. 13, Pergamon Press, Oxford, U.K., pp. 325- 390.
40. Sherby, O. D., and Weertman, J., 1979, “Diffusion-Controlled Dislocation Creep: A Defense,” Acta Metallurgica, Vol. 27, pp. 387-400.
41. Taylor, G. I, 1934, “The Mechanism of Plastic Deformation of Crystals,” Proceedings of the Royal Society, London, Ser. A, Vol. 145, pp. 362-387.
42. Voce, E., 1948, “The Relationship Between Stress and Strain for Homogeneous Deformation,” Journal of Institute of Metals, Vol. 74, pp. 537-562.
43. Zener, C., and Hollomon, J. H., 1944, “Effect of Strain Rate Upon Plastic Flow of Steel,” Journal of Applied Physics, Vol. 15, pp. 22-32.
44. Ziegler, H., 1959, “A Modification of Prager’s Hardening Rule,” Quarterly Applied Mathematics, Vol. 17, pp. 55-65