Endochronic description of plastic anisotropy in sheet metal

International Journal of Solids and Structures

Volumn 36, Issue 18, 1999, Pages 2735-2756

  Wu, Han Chin ^a   Hong, Hong Ki ^b  

^a University of Iowa   (United States)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FUNCTIONS; HARDENING; KINEMATICS; PLASTICITY; STRAIN RATE; STRESS ANALYSIS; TENSILE TESTING; YIELD STRESS;

ENDOCHRONIC PLASTICITY THEORY; HILL'S QUADRATIC YIELD CRITERION; KINEMATIC HARDENING; PLASTIC ANISOTROPY;

SHEET METAL;

EID: 0033145445     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00126-7     Document Type: Article

References (30)

1. Barlat, F., Lian, J., 1989. Plastic behavior and stretchability of sheet metals. Part I, a yield function for orthotropic sheet under plane stress conditions. Int. J. Plasticity 5, 51-66.
2. Barlat, F., Richmond, O., 1987. Prediction of tricomponent plane stress yield surfaces, associated flow and failure behavior of strongly textured f.c.c. polycrystalline sheets. Sci. Engng 95, 15-29.
3. Gotoh, M., 1977. A theory of plastic anisotropy based on a yield function of fourth order. Int. J. Mech. Sci. 19, 505.
4. Hill, R., 1948. A theory of yielding and plastic flow of anisotropic metals. Proc. Roy. Soc., London A193, 281-297.
5. Hill, R., 1979. Theoretical plasticity of textured aggregates. Proc. Camb. Phil. Soc. 85, 179-191.
6. Hill, R., 1990. Constitutive modelling of orthotropic plasticity in sheet metal. J. Mech. Phys. Solids 38, 405-417.
7. Im, S., Atluri, S.N., 1987. A study of two finite strain plasticity models: an internal time theory using Mandells director concept and a general isotropic/kinematic-hardening theory. Int. J. Plasticity 3, 163-191.
8. Jao, S.Y., Arora, J.S., Wu, H.C., 1991. An optimization approach for material-constant determination for the endochronic constitutive model. Computation Mechanics 8, 25-41.
9. Lin, S.B., Ding, J.L., 1995. Experimental study of the plastic yielding of rolled sheet metals with the cruciform plate specimen. Int. J. Plasticity 11, 583-603.
10. Makinde, A., Thibodeau, L., Neale, K.W., 1992. Development of an apparatus for biaxial testing using cruciform specimens. Experimental Mechanics 32, 138.
11. Mellor, P.B., 1982. Experimental studies of plastic anisotropy in sheet metal. In: Hopkins, Sewel (Eds.) , Mechanics of Solids (The Rodney Hill 60th Anniversary Volume) , p. 383.
12. Naruse, K., Dodd, B., Motoki, Y., 1992. Evaluation of yield criteria for planar anisotropy in sheet metal using experimental results. In: Lee, W.B. (Ed.) , Advanced Engineering Plasticity Applications. Proceedings of the Asia-Pacific Symposium of Advances in Engineering Plasticity and its Applications - AEPA 92, Hong Kong Polytechnical University, Hong Kong, pp. 235-242.
13. Pearce, R., 1968. Some aspects of anisotropic plasticity in sheet metals. Int. J. Mech. Sci. 10, 995-1005.
14. Taha, F., Graf, A., Hosford, W., 1995. Plane-strain tension tests on aluminum alloy sheet. J. of Eng. Materials and Technology 117, 168-171.
15. Valanis, K.C., 1971. A theory of viscoplasticity without a yield surface, Part I: general theory. Archives of Mechanics 23, 517-551.
16. Valanis, K.C., 1975. On the foundations of endochronic theory of viscoplasticity. Archives of Mechanics 27, 857-868.
17. Valanis, K.C., 1980. Fundamental consequences of a new intrinsic time measure. Plasticity as a limit of the endochronic theory. Archives of Mechanics 32, 171-191.
18. Valanis, K.C., Lee, C.F., 1984. Endochronic theory of cyclic plasticity with applications. J. Appl. Mech. 51, 367.
19. Wagoner, R.H., 1980. Measurement and analysis of plane-strain work hardening. Metallurgical Transactions 11A, 165-175.
20. Wagoner, R.H., Wang, N.-M., 1979. An experimental and analytical investigation of in-plane deformation of 2036-T4 aluminum sheet. Int. J. Mech. Sci. 21, 255-264.
21. Woodthorpe, J., Pearce, R., 1970. The anomalous behavior of aluminum sheet under balanced biaxial tension. Int. J. Mech. Sci. 12, 341-347.
22. Wu, H.C., Lu, J.K., 1995. Further development and application of an endochronic theory accounted for deformation induced anisotropy. Acta Mechanica 109, 11-26.
23. Wu, H.C., Yang, R.J. 1983. Application of the improved endochronic theory of plasticity to loading with multi-axial strain-path. International Journal of Non-Linear Mechanics 18, 395-408.
24. Wu, H.C., Yeh, W.C., 1987. Some considerations in the endochronic description of anisotropic hardening. Acta Mechanica 69, 59-76.
25. Wu, H.C., Yip, M.C., 1980. Strain rate and strain rate history effects on the dynamic behavior of metallic materials. International Journal of Solids and Structures 16, 515-536.
26. Wu, H.C., Yip, M.C., 1981. Endochronic description of cyclic hardening behavior for metallic materials. ASME Journal of Engineering Materials and Technology 103, 212-217.
27. Wu, H.C., Hong, H.K., Lu, J.K., 1995a. An endochronic theory accounted for deformation induced anisotropy. Int. J. Plasticity 11, 145-162.
28. Wu, H.C., Hong, H.K., Shiao, Y.P., 1998. Anisotropic plasticity with application to sheet metals. International Journal of Mechanical Sciences, in press.
29. Wu, H.C., Lu, J.K., Pan, W.F., 1995b. Endochronic equations for finite plastic deformation and application to metal tube under torsion. International Journal of Solids and Structures 32, 1079-1097.
30. Not available.