A Study on Yield and Flow of Orthotropic Materials

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(3): 233-238

Yuan Zu-pei, Zheng Yao. A Study on Yield and Flow of Orthotropic Materials[J]. Applied Mathematics and Mechanics, 1990, 11(3): 233-238.

Citation:

Yuan Zu-pei, Zheng Yao. A Study on Yield and Flow of Orthotropic Materials[J]. Applied Mathematics and Mechanics, 1990, 11(3): 233-238.

Citation:

Yuan Zu-pei, Zheng Yao. A Study on Yield and Flow of Orthotropic Materials[J]. Applied Mathematics and Mechanics, 1990, 11(3): 233-238.

Abstract

On the assumption that the yield criterion of orthotropic materials is isomorphic with Huber-Mises criterion of isotropic materials, we put forward a dimensionless stress yield criterion, and obtained the associated plastic flow law. Using experimental stress-strain curves in various simple stress states, generalized effective stress-strain formulae may be derived correspondingly in various forms.

[1]	Hill,R.,A theory of the yielding and flow of anisotropic metals,Proc.Roy.Soc.(London),Ser.A,193,A1033(1948),281-297.
[2]	Hill,R.,The Mathematical Theory of Plasticity,Oxford University Press,London(1950),317-321.中译本《塑性数学理论》,王仁等译,科学出版社(1966).
[3]	Olszak,W.and W.Urbanowski,The plastic potential and the generalized distortion energy in the theory of non-homogeneous anisotropic elastic-plastic bodies,Arch.Mech.Stos.,8,4(1956),671-694.
[4]	Hu,L.W.,Studies on plastic flow of anisotropic metals,J.Appl.Mech.(ASME),23(1956),444-450.