对于正交异性材料屈服与流动的探讨
A Study on Yield and Flow of Orthotropic Materials
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摘要: 假定正交异性材料的屈服准则与各向同性材料的Huber-Mises准则同构,提出了无量纲应力屈服准则,进而推导了与之相关的塑性流动规则.用不同的简单应力状态下的应力-应变试验曲线,可以得到不同的广义等效应力-应变关系.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.
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[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.
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