Abstract
The elastic/viscoplastic constitutive equation which describes deformation law of metal materials was suggested based on no-yield-surface concept and thermal activation theory of dislocation. The equation which takes account of effects of strain-rate, strain history, strain-rate history, hardening and temperature has stronger physical basis.
Comparison of the theoretical prediction with experimental results of mechanical behaviours of Ti under conditions of uniaxial stress and room temperature shows good consistency.
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References
Yang Xu-can, Yan Gui-tong and Xu Bing-ye,Viscoplastic Mechanics, Chinese Railway Press (1985). (in Chinese)
Bodner, S.R. and Y. Partom, Constitutive equations for elastic-viscoplastic strain-hardening materials,JAM, June (1975), 385–389.
Zhou, G.Q., Some discussion on elastic-viscoplastic theory with no yield surface,Explosion and Shock Waves,3, 4, Oct. (1983). (in Chinese)
Zhou, G.Q., H. Ghoneim and Y. Chen, Numerical experiments with two-dimensional elastic-viscoplastic bars,Int. Journal of Computer and Structure,18, 4 (1984), 591–601.
Fried, J.,Les Dislocations, Gaethier-Villars (1956).
Granato, A.V., K. Lücke, J. Schlipt and L.J. Teutonico, Entropy factors for thermally activated unpinning of dislocations,J. Appl. Phys.,35 (1964), 2732–2745.
Yu Chen, Power-formula viscoplasticity, its modification and some applications,J. Eng. Mater. Tech.,106, 4 (1984), 383–387.
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Communicated by Liu Ren-huai
The Projects Supported by National Natural Science Foundation of China
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Guang-quan, Z., Jing-yi, C. A viscoplastic model based on no-yield-surface concept. Appl Math Mech 10, 337–344 (1989). https://doi.org/10.1007/BF02017774
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DOI: https://doi.org/10.1007/BF02017774