Application of anisotropic constitutive equations to numerical simulation of sheet forming
  Revised:July 24, 2001
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DOI:10.7511/jslx20032046
KeyWord:anisotropic,constitutive equation,sheet forming,numerical simulation,yield criteria,elastoplastic
Ni Xianggui,\ Wu Hengan,\ Wang Yu,\ Wang Xiuxi ls of CAS,University of Science and Technology of China,Hefei 230026,China)
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Abstract:
      Three yield criteria including Hill, Barlat\|Lian and Barlat are reviewed which characterize the planar anisotropy for the metal sheet forming processes. Under the condition that the elastic deformation obeys the generalized Hooke's Law, a general expression of elastoplastic constitutive equations applicable to various yield criteria is derived based on the tensor algorithms. The explicit expressions of elastoplastic constitutive equations related to each yield criterion are presented and implemented to ABAQUS software as the user subroutines. Through simulating the drawing processes of a square box, the application of anisotropic constitutive equations to the numerical simulation of the sheet forming is studied. The results show that the presented explicit expressions, which are derived from the general expression, are correct, and there are no more differences between applications of Barlat and Barlat\|Lian to shell element.