Abstract
According to the characteristics of micro-deformation of polycrystalline metal, the author divides grains into three kinds and proposes a new conception of deformed grains' multiplication, from which some explicit elastic-plastic constitutive equations can be deduced and some experimental results can be explained quantitatively. It shows that the macro-yield. rate-correlativity, work hardening and other phenomena are all closely related to the kinetic process of grains' deformation.
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References
T. H.Lin. A physical theory of plasticity and creep, ASME J. Engng. Mat. and Tech., 106 (1984). 290–294.
N. G.Liang and ChengP. S., A 3-D composite constitutive model for polycrystalline metals, Acta Mechanica Sinica 22, 6 (1990). 680–687. (in Chinese)
N. G.Liang and P. G.Bergan. A multi-dimensional composite model for plastic continua under polyaxial loading condition, Acta Mechanica Sinica, 6 4 (1990), 357–364.
Z. Xu and N. G. Liang, 3-D constitutive model for elastoviscoplastic material, A collection of papers dedicated to professor Lin Tunghua in celebration of his 80th birthday, Wang T. C., Xu B. Y. and Huang Z. P. (ed.) Beijing University Press (1993), 20–30.
B. X.Zhou, A study of the previelding microstrain in 3% Si−Fe Alloy, Acta Metallurgica Sinica, 19, 1 (1983), A31–39. (in Chinese)
Z. Y.Ha, The Theories on Metal's Micromechanics, Science Publishing House, Beijing (1981), 415–451 (in Chinese)
Z. Y.He and K. C.Huang, A yield model of polycrystalline metal based on nonlinear irreversible multiplication process. Acta Metallurgica Sinica, 31 3 (1995), 97–104. (in Chinese)
A. H.Cottrell, Theory of brittle fracture in steel and simular metals, Trans. AIME, 212 (1958), 192.
Z. H.Lai, Metal's Crystal Defects and Mechanical Properties, Metallurgical Industry Publishing House, Beijing (1988), 193–216. (in Chinese)
M. M.Hutchison, High upper yield points in mild steel. J. Iron Steel Inst., 186 (1957), 431.
H.Fujita and S.Miyazaki, Luders deformation in polycrystalline Iron, Acia Met., 26 (1978), 1273.
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Communicated by Chien Weizang
Project supported by the National Natural Science Foundation of China
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Zongyan, H. Elastic-plastic constitutive models based on the multiplication processes of deformed grains. Appl Math Mech 17, 257–268 (1996). https://doi.org/10.1007/BF00193621
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DOI: https://doi.org/10.1007/BF00193621