| Abstrakt: |
Most sheet metals are orthorhombic aggregates of cubic crystallites. Here a new Drucker yield function with four material parameters (Y iso , κ , β , γ) and three texture coefficients c m 0 4 (m = 0 , 2 , 4 ) is proposed for orthorhombic aggregates of cubic crystallites, where (Y iso , κ) and (β , γ) pertain to the isotropic and anisotropic parts of the yield function, respectively. A correspondence function, which gives good agreement between the (isotropic) Drucker yield function and its Hershey yield function counterpart, is determined. Based on data generated by the Taylor–Bishop–Hill theory, the parameters (Y iso , κ) and (β , γ) of the new Drucker yield function for orthorhombic aggregates of FCC crystallites are determined under the conditions of biaxial stress and uniaxial stress, respectively. The new Drucker yield function thus obtained accurately reproduces the predictions from the Taylor–Bishop–Hill theory. The uniaxial tensional yield stress Y θ and the q –value q θ delivered by the new Drucker yield function are consistent with experimental data (Y i , q i) on sheets of AA3003-O aluminum and two HSS Y350 steels. The material parameters (Y iso , β c m 0 4 , γ c m 0 4) in the new Drucker yield function are determined through experimental data on angular dependence of uniaxial stress. [ABSTRACT FROM AUTHOR] |
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