A meso elastoplastic constitutive model for polycrystalline metals based on equivalent slip systems with latent hardening

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 41, Issue 8, 1998, Pages 887-896

  Liang, Naigang ^a   Liu, Honggiu ^a   Wang, Ziqiang ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Elastoplastic; Latent hardening; Poly crystalline

Indexed keywords

EID: 0346096765     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02871672     Document Type: Article

References (17)

1. Havner, K. S., Finite Plastic Deformation of Crystalline Solids, New York: Cambridge University Press, 1992, Chap. 3.
2. Tokuda, M., Kratochvil, J. Ohashi, Y., Mechanism of induced plastic anisotropy on polycrystalline metals, Phys. Stat. Sol., Ser. A, 1981, 68: 629.
3. Batdorf, S. B., Budiansky, B., A mathematical theory of plasticity based on the concept of slip, NACA TN, 1994. 1 871.
4. Martin, J. B., Plasticity: Fundationals and General Results, The MIT Press, 1975, Chap. 7.
5. Liang, N. G., Cheng, P. S., A constitutive model of elasto-plastic materials based on fibre-reinforcing and sliding mechanisms, Science in China, Ser. A, 1993, 36: 692.
6. Philips, A., Tang, J. L., The effect of loading path on the yield surface at elevated temperatures, Int. J. Solids Structure, 1972, 8: 463.
7. Lin, T. H., Ito, Y. M., Theoretical plastic stress-strain relationship of a polycrystal and comparisons with Von Mises' and Tresca's plasticity theories, Int. J. Eng. Sci., 1966, 4: 543.
8. Hutchinson, J. W., Elastic-plastic behavior of polycrystalline metals and composites, Proc. Roy Soc., U. K. London, Ser. A, 1970, 319: 247.
9. Budiansky, B., Wu, T. T., Experimental studies of polyaxial stress-strain laws of plasticity, Proc. 4th U. S. Nat. Congr. Appl. Mech., ASME, New York: Pergamon Press, 1962, 1 175.
10. Delves, L. M., Mohamed, J. L., Computational Method for Integral Equations, Cambridge: Cambridge University Press, 1985, Chaps. 3, 4.
11. Liang, N. G., Xu, T., Wang, Z. Q., A new expression of hardening coefficients for fcc-crystal and calibration of the material constants, Science in China, Ser. A, 1995, 38: 945.
12. Batdorf, S. B., Budiansky, B., Polyaxial stress-strain relations of a strain-hardening metal, J. Appl. Mech., 1954, 11: 323.
13. Johnson, A. E., Batdorf, S. B., A study of slip formation in polycrystalline alluminum, NACA TN2576, 1951.
14. Wang, R., Xiong, Z. H., Huang, W. B., Foundation of Plasticity (in Chinese), Beijing: Science Press, 1982, Chap. 4.
15. Sanders, J. L., Jr., Plastic stress-strain relations based on linear loading functions, Proc. 2nd U. S. Nat. Congr. Appl. Mech., New York: SME, 1954, 455.
16. Mroz, Z., On the description of anistropic work hardening, J. Mech. Phys. Sol., 1967, 15: 163.
17. Liu, H. Q., Liang, N. G., Mechanical-property parameters of polycrystalline metal and prediction of stress-strain responses under out-of phase circular deformation, Proc. 1st Asia-Ocenia Int. Sym. On Plasticity, Beijing: International Academic Publishers, 1993, 438.