Abstract
A macro slip theory is presented in this paper. Four independent slip systems are proposed for polycrystalline solids. Each slip system consists of a slip plane which lies on a face of the octahedron in stress space and a slip direction which is coincident with shear stress acting on the same face of the octahedron. It is proved that for proportional loading, present results are identical with the classical flow theory of plasticity. For nonproportional loading, the macro slip theory shows good predicting ability. The calculated results are in good agreement with the experimental data.
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References
Taylor, G. I., Proc. R. Soc. London. Series A145 (1934), 362–387.
Orowan, E., Z. Phys.,89 (1934), 634–659.
Polanyi, Von, M., Z. Phys.,89 (1934), 660–664.
Schmid, E., Proc. Inter. Congr. Appl. Mech. 1924 (Delft) 342.
Hill, R.,J. Mech. Phys. Solids,14 (1966), 95–102.
Rice, J.,J. Mech. Phys. Solids,19 (1971), 443–455.
Asaro, R. J., Micromechanics of crystals and polycrystals. Advances in Applied Mechanics, Vol. 23, 1–115, 1983. Eds. Hutchinson, J. W. and Wu, T. Y.
Nemat-Nasser, S.,J. Appl. Mech.,50 (1983), 1114–1126.
Hill, R. and Havner, K.,J. Mech. Phys. Solids,30 (1982).
Taylor, G. I.,J. Inst. Metals,62 (1938), 307–324.
Bishop, J. F. W. and Hill, R.,Phil. Mag.,42 (1951), 414–427; 1298–1307.
Lin, T. H.,J. Mech. Phys. Solids,5 (1957), 143.
Kroner, E.,Acta Met.,9 (1961), 155–161.
Budiansky, B. and Wu, T. T., Proc. 4th U.S. National Cong. Appl. Mech., 1962, 1175–1185.
Hill, R.,J. Mech. Phys. Solids,13 (1965), 89–101.
Berveiller, M. and Zaoui, A.,J. Mech. Phys. Solids,26 (1979), 325–344.
Weng, G. J. and Chiang, C. R.,Int. J. Solids and Struct.,20 (1984), 689.
Weng, G. J.,Int. J. Plasticity,3 (1987), 315–339.
Lin, G. J., J. Engn. Mater. Tech.,106 (1984), 290.
Budiansky, B. Dow, N. F. Peters, R. W. and Shepherd, R. P., in Proceedings of 1st U. S. National Congress. Applied Mechanics, 1951, 503–512.
Batdorf, S. B. and Budiansky, B., NACA TN 1871, 1949.
Hill, R., in Advances in Appl. Mech., Vol. 18 (1978), 1.
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Tsu-chiang, W. Macro slip theory of plasticity for polycrystalline solids. Acta Mech Sinica 7, 323–334 (1991). https://doi.org/10.1007/BF02486740
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DOI: https://doi.org/10.1007/BF02486740