Hu Ping, Liu Yuqi, Guo Wei, Tai Feng. Quasi-Flow Corner Theory on Large Plastic Deformation of Ductile Metals and its Applications[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1005-1011.
 Citation: Hu Ping, Liu Yuqi, Guo Wei, Tai Feng. Quasi-Flow Corner Theory on Large Plastic Deformation of Ductile Metals and its Applications[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1005-1011.

# Quasi-Flow Corner Theory on Large Plastic Deformation of Ductile Metals and its Applications

• Publish Date: 1996-11-15
• A quasi-flow corner theory on lalge plastic deformation if ductile metals is proposed in this paper. From orthogonal rule of plastic flow, the theory introduces a "modulus rethtced function" and a corner effect of yield surface into the constilulive model of elastic-plastic large deformation. Thereby, the smooth and continuous transitions from orthogonal constitutive model to non-orthogonal one, and from plastic loading to elastic unloading are realized. In addition, the theory makes it possible to connect general anisotropic yield functions with corner hardening effect. The comparison between numerical simulation and experimental observation for the uniaxial tensile instability and shear band deformation of anisotropic sheet metals shows the validity of the present quasi-flow corner theory.
•  [1] 黄克智,《非线性连续介质力学》,第一版,北京大学、清华大学出版社(1989), 408-414 [2] S. Störm and J. R. Rice, Localized necking in thin sheet, J. Mech. Plys. Solids, 23 (1975), 421-441. [3] J. Christofferson and J. W. Hutehinson, A class of phenomenological corner theories of plasticity, J. Mech. Phys. Solids, 27 (1979), 465-487. [4] M. Gotoh, A class of plastic constitutive equations with vertex effect-I: General theory, Int. J. Solids Struct. 21, 11(1985), 1101-1116. [5] 胡平、连建设、李运兴,弹塑性有限变形的拟流动理论,力学学报,26 (1994), 275-283. [6] 胡平,塑性与超塑性金属材料应变局部化力学行为.J数值研究,吉林工业大学博士论文(1993). [7] P. Hu, J. Lian and J. W. Chen, Finite element numerical analysis of sheet metal under uniwial tension with n new field criterion, J. Mater,Proc. Tech., 31 (1992), 245-253. [8] F. Barlat and J. Lian. Plastic behavior and stretchability of sheet metals, Part I: A yield function for orthogonal sheets under planes stress conditions, Irat. J. Plasticity, 5(1989), 51-75. [9] J. C. Nagtegaal, D. M.Parks and J. R. Rice, On numerically accurate element solution in the fully plastic range, Comp. Mech. Eng., 4(1974), 153.

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