Abstract
This work presents a new isotropic model to describe the cyclic hardening/softening plasticity behavior of metals. The model requires three parameters to be evaluated experimentally. The physical behavior of each parameter is explained by sensitivity analysis. Compared to the Voce model, the proposed isotropic model has one more parameter, which may provide a better fit to the experimental data. For the new model, the incremental plasticity equation is also derived; this allows the model to be implemented in finite element codes, and in combination with kinematic models (Armstrong and Frederick, Chaboche), if the material cyclic hardening/softening evolution needs to be described numerically. As an example, the proposed model is applied to the case of a cyclically loaded copper alloy. An error analysis confirms a significant improvement with respect to the usual Voce formulation. Finally, a numerical algorithm is developed to implement the proposed isotropic model, currently not available in finite element codes, and to make a comparison with other cyclic plasticity models in the case of uniaxial stress and strain-controlled loading.
Highlights
Thanks to their favorable combination of mechanical and thermal properties, metals are widely employed in industrial applications in which components are subjected to high thermo-mechanical loadings
It is of interest to discuss in more detail on the results obtained with both the Voce and the new isotropic model proposed in this work
The model is an attempt to overcome the poor fitting observed in Voce isotropic model, when calibrated on experimental cyclic data of a CuAg0.1 alloy
Summary
Thanks to their favorable combination of mechanical and thermal properties, metals are widely employed in industrial applications in which components are subjected to high thermo-mechanical loadings. During the component’s service life, high temperatures combined with high mechanical stresses may induce in the component a plastic deformation, even only locally. If thermo-mechanical loadings vary cyclically, the resulting cyclic elasto-plastic response may lead to some kind of fatigue damage. To perform a durability assessment, it is often advantageous to use a numerical approach based on the finite element (FE) method. The accuracy of results depends significantly on the capability of the material model, in the numerical code, to describe the cyclic plasticity behavior of the material, as it is observed experimentally. A noteworthy example—considered in this work—is the case of copper alloys used in components of steel making plants (e.g., mold for continuous steel casting, anode for electric arc furnace, etc.) [1,2]
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