Modeling of cyclic ratchetting plasticity, part i: Development of constitutive relations

Journal of Applied Mechanics, Transactions ASME

Volumn 63, Issue 3, 1996, Pages 720-725

  Jiang, Y ^a,b   Sehitoglu, H ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b University of Nevada   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746053227     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2823355     Document Type: Article

References (44)

1. Abdel-Raouf, H., Topper, T. H., and Plumtree, A., 1977, “Cyclic Plasticity and Masing Behaviour in Metals and Alloys,” Fracture. 1977, ICF4, Vol. 2, Waterloo, Canada, pp. 1207-1215.
2. Armstrong, P. J., and Frederick, C. O., 1966, “A Mathematical Representation of the Multiaxial Bauschinger Effect,” Report RD/B/N 731, Central Electricity Generating Board.
3. Bayerlein, M., Christ, H.-J., and Mughrabi, H., 1987, “A Critical Evaluation of the Incremental Step Test,” Low Cycle Fatigue and Elasto-Plastic Behaviour of Materials, Rie, ed., Elsevier, Amsterdam, pp. 149-154.
4. Benallal, A., and Marquis, D., 1987, “Constitutive Equations for Nonproportional Elastio-Viscoplasticity,” ASME Journal of Engineering Materials and Technology, Vol. 109, pp. 326-336.
5. Bower, A. F., 1989, “Cyclic Hardening Properties of Hard-Drawn Copper and Rail Steel,” Journal of Mechanics and Physics of Solids, Vol. 37, pp. 455-470.
6. Bruhns, O. T., and Pape, A., 1989, “A Three Surface Model in Nonproportional Cyclic Plasticity,” Proceedings of International Conference on Constitutive Laws for Engineering Materials, Chonqing, China, Fan, and Murakami, eds., Vol. 2, Pergamon, pp. 703-708.
7. Chaboche, J. L., Dang Van, K., and Cordier, G., 1979, “Modelization of the Strain Memory Effect on the Cyclic Hardening of 316 Stainless Steel,” Structural Mechanics in Reactor Technology, Transactions of the Fifth International Conference on Structural Mechanics in Reactor Technology, Div. L, Berlin, Lll/3.
8. Chaboche, J. L. 1989a, “A New Kinematic Hardening Rule with Discrete Memory Surfaces,” Rech. Aerosp., No. 4, pp. 49-69.
9. Chaboche, J. L., 1989b, “A New Constitutive Framework to Describe Limited Ratchetting Effects,” Plasticity '89, Pergamon, pp. 211-214.
10. Chaboche, J. L., 1991, “On Some Modifications of Kinematic Hardening to Improve the Description of Ratchetting Effects,” International Journal of Plasticity, Vol. 7, pp. 661-678.
11. Chaboche, J. L., and Nouailhas, D., 1989a, “Constitutive Modeling of Ratchetting Effects—Part I: Experimental Facts and Properties of the Classical Models,” ASME Journal of Engineering Materials and Technology, Vol. 3, pp. 384-392.
12. Chaboche, J. L., and Nouailhas, D., 1989b, “Constitutive Modeling of Ratchetting Effects—Part II: Possibilities of Some Additional Kinematic Rules,” ASME Journal of Engineering Materials and Technology, Vol. 3, pp. 409-416.
13. Chaboche, J. L., Nouailhas, D., Pacou, D., and Paulmier, P., 1991, “Modeling of the Cyclic Response and Ratchetting Effects on Inconel-718 Alloy,” European Journal of Mechanics, A/Solids, Vol. 10, pp. 101-121.
14. Clement, G., and Guionnet, C., 1985, “Analysis of Biaxial Experiments on 316 Steels at Elevated Temperature,” Trans. SMIRT8, Vol. 1, Brussels, Belgium.
15. Drucker, D. C., and Palgen, L., 1981, “On Stress-Strain Relations Suitable for Cyclic and Other Loading,” ASME Journal of Applied Mechanics, Vol. 48, pp. 479-485.
16. Ellyin, F., 1985, “Effect of Tensile-Mean-Strain on Plastic Strain Energy and Cyclic Response,” ASME Journal of Engineering Materials and Technology, Vol. 107, pp. 119-125.
17. Garud, Y. S., 1981, “Multiaxial Fatigue of Metals,” Ph.D Dissertation, Mechanical Engineering, Stanford University.
18. Garud, Y. S., 1991, “Notes on Cyclic Dependent Ratchetting under Multiaxial Loads Including Bauschinger Effect and Non-Linear Strain Hardening,” Transactions of the 11th International Conference on Stiuctural Mechanics in Reactor Technology, Tokyo, Japan, Shibata, ed., Vol. L, pp. 511-518.
19. Hashiguchi, K., 1993a, “Fundamental Requirements and Formulation of Elas-toplastic Constitutive Equations with Tangential Plasticity,” International Journal of Plasticity, Vol. 9, pp. 525-549.
20. Hashiguchi, K., 1993b, “Mechanical Requirements and Structures of Cyclic Plasticity Models,” International Journal of Plasticity, Vol. 9, pp. 721-748.
21. Hassan, T., and Kyriakides, S., 1992, “Ratchetting in Cyclic Plasticity, Part I: Uniaxial Behavior/’ International Journal of Plasticity, Vol. 8, pp. 91-116.
22. Hassan, T., Corona, E., and Kyriakides, S., 1992, “Ratchetting in Cyclic Plasticity, Part II: Multiaxial Behavior,” International Journal of Plasticity, Vol. 8, pp. 117-146.
23. Inoue, T., Ohno, N., Suzuki, A., and Igari, T., 1989, “Evaluation of Inelastic Constitutive Models under Plastic-Creep Interaction for 2 Cr-lMo Steel at 600°C,” Nuclear Engineering and Design, Vol. 114, pp. 295-309.
24. Iwan, W. D., 1967, “On a Class of Models for the Yielding Behaviour of Continuous and Composite Systems,” ASME Journal of Applied Mechanics, Vol. 34, pp. 612-617.
25. Jhansale, H. R., 1975, “A New Parameter for the Hysteric Stress-Strain Behavior of Metals,” ASME Journal of Engineering Materials and Technology, Vol. 97, pp. 33-38.
26. Jiang, Y., 1993, “Cyclic Plasticity with an Emphasis on Ratchetting,” Ph.D Dissertation, Department of Mechanical Engineering, University of Illinois at Urbana-Champaign.
27. Jiang, Y., and Sehitoglu, H., 1994a, “Cyclic Ratchetting of 1070 Steel under Multiaxial Stress State,” International Journal of Plasticity, Vol. 10, No. 5, pp. 579-608.
28. Jiang, Y., and Sehitoglu, H., 1994b, “Multiaxial Cyclic Ratchetting under Multiple Step Loading,” International Journal of Plasticity, Vol. 10, No. 8, pp. 849-870.
29. Lamba, H. S., and Sidebottom, O. M., 1978, “Cyclic Plasticity for Nonproportional Paths, Part II: Comparison with Predictions of Three Incremental Plasticity Models,” ASME Journal of Engineering Materials and Technology, Vol. 100, pp. 104-111.
30. McDowell, D. L., 1983, “Transient Nonproportional Cyclic Plasticity,” Ph.D Dissertation, Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign.
31. McDowell, D. L., 1985a, “A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part I: Development of Appropriate Equations,” ASME Journal of Applied Mechanics, Vol. 52, pp. 298-302.
32. McDowell, D. L., 1985b, “A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part II: Comparison of Theory with Experiments,” ASME Journal of Applied Mechanics, Vol. 52, pp. 303-308.
33. McDowell, D. L., 1985c, “An Experimental Study on the Structure of Constitutive Equations for Nonproportional Cyclic Plasticity,” ASME Journal of Engineering Materials and Technology, Vol. 107, pp. 307-315.
34. McDowell, D. L., 1992, “Description of Nonproportional Cyclic Ratchetting Behavior,” Proc. MECAMT’92, Int. Sem. on Multiaxial Plasticity, Cachan, France, Sept. 1-4.
35. Mroz, Z., 1967, “On the Description of Anisotropic Workhardening,” Journal of Mechanics and Physics of Solids, Vol. 15, No. 3, pp. 163-175.
36. Mroz, Z., 1981, “On Generalized Kinematic Hardening Rule with Memory of Maximum Prestress,” Journal De Mechnique Appliqué, Vol. 5, pp. 241-260.
37. Mughrabi, H., 1978, “The Cyclic Hardening and Saturation Behaviour of Copper Single Crystals,” Materials Science and Engineering, Vol. 33, pp. 207-223.
38. Ohno, N., 1982, “A Constitutive Model of Cyclic Plasticity with a Nonhardening Strain Region,” ASME Journal of Applied Mechanics, Vol. 49, pp. 721-727.
39. Ohno, N., and Kachi, Y., 1986, “A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials,” ASME Journal of Applied Mechanics, Vol. 53, pp. 395-403.
40. Ohno, N., and Wang, J.-D., 1991, “Nonlinear Kinematic Hardening Rule: Proposition and Application to Ratchetting Problems,” Structural Mechanics in Reactor Technology, Transactions of the 11th International Conference on Structural Mechanics in Reactor Technology, Shibata, Ed., Vol. L, Tokyo, Japan, L22/1, pp. 481-486.
41. Ohno, N., and Wang, J.-D., 1993a, “Kinematic Hardening Rules with Critical State of Dynamic Recovery: Part I—Formulation and Basic Features for Ratchetting Behavior,” International Journal of Plasticity, Vol. 9, pp. 375-390.
42. Ohno, N., and Wang, J.-D., 1993b, “Kinematic Hardening Rules with Critical State of Dynamic Recovery, Part II: Application to Experiments of Ratchetting Behavior,” International Journal of Plasticity, Vol. 9, pp. 391-403.
43. Slavik, D., and Sehitoglu, H., 1986, “Constitutive Models Suitable for Thermal Loading,” ASME Journal of Engineering Materials and Technology, Vol. 108, pp. 303-312.
44. Winter, A. T.1974, “A Model for the Fatigue of Copper at Low Plastic Strain Amplitudes,” Philosophy Magazine, Vol. 30, pp. 719-738.