Abstract
The subsequent anisotropic yield behavior of 45 steel was predicted by the distortional yield surface constitutive model, which can describe the anisotropic subsequent yield and the cross effect of metal associating with loading history. The yield characteristics and plastic hardening behaviors of the 45 steel were simulated under three preloading paths including pre-torsion, pre-tension, and pre-tension–torsion. Based on the comparison between the experimental yield stresses and the simulation by the classical Chaboche model, the proposed model can describe the remarkable anisotropic yield behavior related to the loading history, which can effectively describe the sharp point of yield surface in pre-loading direction and the smaller curvature near its opposite direction. It was successfully simulated by the constitutive model proposed that the subsequent distortional yield surface defined by small offset strain and the degradation process of the distortion feature defined by large offset strain.
Highlights
In the classical plastic theory, isotropic and kinematic hardening are usually used to track the expansion and movement of yield surface, respectively
The yield surface reduces to the yield curve in the σ - √3strain τ stress plane and the subsequent yield surfaces were simulated under two pretension strain σ − 3τ stress plane and the subsequent yield surfaces were simulated under two pretension 2×10 strain
Compared with the experimental results and the simulations of the Chaboche model, the anisotropic distortional yield surface model proposed in this paper can better describe the distortional yield characteristics of 45 steel after preloading
Summary
In the classical plastic theory, isotropic and kinematic hardening are usually used to track the expansion and movement of yield surface, respectively. Kinematic hardening can exhibit certain anisotropic characteristics under the plastic deformation process, in which the position of the subsequent yield surface changes while the size of the subsequent yield surface remains unchanged. Chaboche put forward a more general cyclic plasticity macroscopic constitutive based on A-F hardening model proposed by Armstrong and Frederick, which is suitable to characterize the cyclic hardening and softening behavior when the materials are subject to the proportional loading [4,5]. According to√the above plastic theory, the initial yield curve and the subsequent yield curve are circles on the σ − 3τ stress plane. The distortion shape of the subsequent yield surface varies for different metals
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