Application of a kinematic hardening viscoplasticity model with thresholds to the residual stress relaxation

International Journal of Plasticity

Volumn 13, Issue 10, 1997, Pages 785-807

  Chaboche, J L ^a   Jung, O ^b  

^a ONERA   (France)

^b SNECMA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; HARDENING; KINEMATICS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; RESIDUAL STRESSES; SHOT PEENING; STRESS RELAXATION; THERMAL EFFECTS;

CYCLIC SERVICE LOADS;

VISCOPLASTICITY;

EID: 0031340873     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(97)00066-1     Document Type: Article

References (56)

1. Armstrong, P. J. and Frederick, C. O. (1966) A mathematical representation of the multiaxial Bauschinger effect. CEGB Report RD/B/N73 1, Central Electricity Generating Board.
2. Blanchard, P. and Lemoine, P. (1988) Constitutive modeling of 17-12 Mo SPH stainless steel behavior at high temperature. ASME J. Pressure Vessel Tech. 110, 51.
3. Bower, A. F. (1989) Cyclic hardening properties of hard-drawn copper and rail steel. J. Mechs Phys. Solids 37(4), 455-470.
4. Chaboche, J. L. (1989a) A new constitutive framework to describe limited ratchetting effects. Plasticity'89, Tsu, Japan, A. S. Khan and M. Tokuda eds, Pergamon, 211-214.
5. Chaboche, J. L. (1989b) Un nouveau schéma d'écrouissage cinématique à surfaces mémoires discrètes. La Rech. Aérosp. 4, 49-69 (editions in French and English).
6. Chaboche, J. L. (1991) On some modifications of kinematic hardening to improve the description of ratchetting effects. Int. Journal of Plasticity 7, 661-678.
7. Chaboche, J. L. (1993) Cyclic viscoplastic constitutive equations, parts I and II. ASME J. of Applied Mechanics 60, 813-828.
8. Chaboche, J. L. (1994) Modelling of ratchetting: evaluation of various approaches. Eur. J. of Mechanics 13(4), 501-518.
9. Chaboche, J. L. (1996) Thermodynamic formulation of constitutive equations and application to the viscoplasticity and viscoelasticity of metals and polymers. Int. J. Solids Structures (in press).
10. Chaboche, J. L. and Nouailhas, D. (1989) Constitutive Modelling of Ratchetting Effects, parts I and II. ASME J. Eng. Mat. Tech. 111, 384-392, 409-416.
11. Chaboche, J. L., Dang Van, K., and Cordier, G. (1979) Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel, SMIRT-5, Division L, Berlin.
12. Chaboche, J. L., Nouailhas, D., Pacou, D. and Paulmier, P. (1991) Modelling of the cyclic response and ratchetting effects on Inconel 718 alloy. Eur. J. Mech., A/Solids 10(1), 101-121.
13. Chaboche, J. L., El Mayas, N. and Paulmier, P. (1995) Modélisation thermodynamique des phénomènes de viscoplasticité, restauration et vieillissement. C. R. Acad. Sci. Paris 320(II), 9-16.
14. De Bussac, A. and Lautridou, J. C. (1994) N. T. SNECMA no. 60366.
15. Freed, A. D. and Walker, K. P. (1990) Model development in viscoplastic ratchetting. NASA-TM-102509.
16. Freed, A. D. and Walker, K. P. (1993) Viscoplasticity with creep and plasticity bounds. Int. J. of Plasticity 9, 213-242.
17. Freed, A. D., Chaboche, J. L. and Walker, K. P. (1991) A viscoplastic theory with thermodynamic considerations. Acta Mech. 90, 155-174.
18. Germain, P., Nguyen, Q. S. and Suquet, P. (1983) Continuum Thermodynamics. ASME J. of Appl. Mech. 50, 1010-1020.
19. Goodman, A. M. (1983) Developement of constitutive equations for computer analysis of stainless steel components. 3 int. seminar on inelastic analysis and life prediction in high temperature environment, Chicago.
20. Guechichi, H., Castex, L., Frelat, J. and Inglebert, G. (1986) Predicting residual stresses due to shot-peening. 10e Journée nationale sur le grenaillage de précontrainte, Paris.
21. Halpen, B. and Nguyen, Q. S., (1975) Sur lés matériaux Standard Généralisés,. J. Méc., 14(1), 39-63
22. Hassan, T. and Kyriakides, S., (1992) Ratchetting in cyclic plasticity, Part I: uniaxial behavior. 8(1), 91-116
23. Jiang, Y. and Sehitoglu, H. (1994) Multiaxial cyclic ratchetting under multiple step loading. Int. J. Plasticity 10(8), 849-870.
24. Krempl, E. (1994) The second law ofthermodynamics and the viscoplasticity theory based on overstress (VBO). RPI Report MML 94-4.
25. Krempl, E. and Yao, D. (1987) The viscoplasticity theory based on overstress applied to ratchetting and cyclic hardening. In Low-Cycle Fatigue and Elastoplastic Behaviour of Materials, ed. K. T. Rie, pp. 35-48. Elsevier, London.
26. Krempl, E., McMahon, J. J. and Yao, D. (1986) Viscoplasticity based on overstress with a differential growth law for the equilibrium stress. Mech. Mater 5, 35-48.
27. Kruch, S., Chaboche, J. L. and Pottier, T. (1995) Two scale viscoplastic and damage analysis of a metal matrix composite. SES/95, 32nd Annual Technical Meeting, New Orleans, LA, 29 October-1 November.
28. Lemaître, J. and Chaboche, J. L. (1985) Mécanique des Matériaux Solides, Dunod, Bordas, Paris. English edn. (1990) Mechanics of Solid Materials, Cambridge University Press.
29. Lesné, O. and Lesne, P. M. (1996) A constitutive model for organic matrix composites C/PMR/15. JNC 10, Paris, 29-31 October.
30. Lowe, T. C. and Miller, A. K. (1984) Improved constitutive equations for modelling strain softening, parts I and II. J. of Engng Materials and Technology 106(4), 337-348.
31. Lu, J. and Flavenot, J. F. (1987) Use a finite element method for the prediction of the shot-peened residual stress relaxation during fatigue. ICSP-3, Garmisch, October 1987, p. 391.
32. Lyoret, A. and Lautridou, J. C. (1993) N. T. SNECMA no. 60310.
33. Marquis, D. (1979) Etude théorique et vérification expérimentale d'un modèle de plasticité cyclique. Thèse 3ème Cycle, Université Paris VI.
34. McDowell, D. L. (1987) An evolution of recent developments in hardening and flow rules for rate-independent, nonproportional cyclic plasticity. J. Appl. Mech., 54, 323-334
35. McDowell, D. L. (1994) Description of non proportional cyclic ratchetting behavior. Eur. J. Mech. 13(5), 593-604.
36. Miller, A. (1976) An inelastic constitutive model for monotonic cyclic and creep deformation. J. of Engng Materials and Technology, Trans. ASME 98(2), 97-105, 106-113.
37. Moosbrugger, J. C. and McDowell, D. L. (1990) A rate-dependent bounding surface model with a generalized image point for nonproportional cyclic plasticity. J. Mech. Phys. Solids 38, 627.
38. Mroz, Z. (1967) On the description ofthe work-hardening. J. Mech. Phys. Solids 15, 163.
39. Mroz, Z. (1981) On generalized kinematic hardening rule with memory of maximal prestress. J. Mech. Appl. 5, 241-260.
40. Mroz, Z. and Rodzik, P. (1996) On multisurface and integral description of anisotropic hardening evolution of metals. Eur. J. Mech., A/Solids 15, 1-28.
41. Nouailhas, D. (1990) Un modèle de viscoplasticité cyclique pour matériaux anisotropes à symétrie cubique. C. R. Acad. Sciences, Paris, 310, Série II, 887-890.
42. Ohno, N. and Wang, J. D. (1991) Transformation of a nonlinear kinematic hardening rule to a multisurface form under isothermal and nonisothermal conditions. Int. Journal of Plasticity 7, 879-891.
43. Ohno, N. and Wang, J. D. (1993) Kinematic hardening rules with critical state of dynamic recovery, Parts I and II, Int. Journal of Plasticity, 9, 375-403.
44. Pélissier Tanon, A., Bernard, J. L., Amzallag, C. and Rabbe, P. (1988) Evaluation of the resistance of type 316 stainless steel against progressive deformation. Low Cycle Fatigue and Life Prediction, Firminy, France. ASTM STP 770. (1982)
45. Pilvin, P. (1988) Identification des paramètres de modèles de comportement. Proc. Int. Sem. Mécamat on the Inelastic Behaviour of Solids: Models and Utilization., Besançon, France, pp. 155-164.
46. Plénard, E. and Fromont C. (1987) Some Mechanical Properties Relevant to Non-linear Elasticity Materials. ICM 5, Beijing.
47. Ramaswamy, V. G., Stouffer, D. C. and Laflen, J. H. (1990) A unified constitutive model for the inelastic response of René 80 at temperatures between 538°C and 982°C. J. Eng. Mater. Technol. 112, 280-286.
48. Thakker, A. B. and Cowles, B. A. (1983) Low strain, long life creep-fatigue of AF2-IDA and INCO 718. NASA-CR-16798.
49. Trampczynski, W. A. and Mroz, Z. (1992) Anisotropic hardening model and its application to cyclic loading, Int. J. Plast., 8, 925-946.
50. Tseng, N. T. and Lee, G. C. (1983) Simple plasticity model of two-surface type. ASCE J. Eng. Mech. 109, 795-810.
51. Voyiadjis, G. Z. and Kattan, P. I. (1990) A generalized eulerian two-surface cyclic plasticity model for finite strain. Acta Mechanica 81, 143-162.
52. Walker, K. P. (1981) Research and development program for non-linear structural modeling with advanced time-temperature dependent constitutive relationships. Report PWA-5700-50, NASA CR-165533.
53. Wang, J. D. and Ohno, N. (1991) Two equivalent forms of nonlinear kinematic hardening: application to non isothermal plasticity. Int. J. of Plasticity 7, 637-650.
54. Zarka, J. and Casier J. (1979) Elastic-plastic response of a structure to cyclic loading: practical rules. Mechanics Today, Vol. 6, eds Nemat-Nasser. Pergamon Press.
55. Zarka, J., Engel, J. J. and Inglebert, G. (1980) On a simplified inelastic analysis of structures. Nuclear Engineering and Design 57, 333-368.
56. Zener, C. and Hollomon, J. H. (1944) Effect of strain rate upon plastic flow of steel. J. Appl. Phys. 15, 22.