Application of anisotropic constitutive equations to numerical simulation of sheet forming

作者：Ni Xianggui^*; Wu Heng'; an; Wang Yu; Wang Xiuxi

来源：Chinese Journal of Computational Mechanics, 2003, 20(2): 231-235.

• Anisotropic constitutive equation
• Elastic deformation

Three yield criteria including Hill, Barlat-Lian and Barlat are reviewed which characterize the planar anisotropy for the metal sheet forming process. 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 process of a square box, the application of anisotropic constitutive equations to the numerical simulation of 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 the applications of Barlat and Barlat-Lian to shell elements.

• 出版日期2003