Abstract
In this study, a new method for determining the material parameters of cyclic plasticity is presented. The method can be applied to evaluate the model parameters from any loading histories measured experimentally. The experimental data require basic processing only to be utilized. The method can be applied to calibrate the parameters of different elastoplastic models such as the Chaboche–Rousselier (Ch–R) constitutive equation or other model formulations which use different rules of isotropic hardening. The developed method was utilized to evaluate the material parameters of copper for a selected group of constitutive models. It is shown that among the considered model formulations a very good description of the mechanical properties of copper is achieved for the Ch–R model with two Voce terms used for simulating the isotropic hardening and two backstress variables utilized for capturing the kinematic hardening behavior. Furthermore, it is demonstrated that a model calibrated using the cyclic tension/compression data is able to properly capture the material response in torsion. Similarly, when the constitutive parameters are determined using the cyclic torsion data the model is able to properly reproduce the material behavior in tension/compression. It is concluded that for the considered type of constitutive equations the material parameters can be identified from a single mechanical test. The proposed methodology was validated using the relations derived analytically
Highlights
Despite the continuous development of new functional materials, such as polymers and composites, e.g., [1, 2], metals are still widely used in different branches of industry
Archives of Civil and Mechanical Engineering (2022) 22:69. This model formulation was subsequently generalized by Chaboche and Rousselier [7, 8] whose model utilizes the Armstrong–Frederick (A–F) equation to capture the kinematic hardening phenomenon and the Voce’s rule to take into account the isotropic hardening effect
The experimental results of low cyclic fatigue (LCF) tests clearly demonstrated, that the copper exhibited a significant softening effect that is similar for both types of cyclic loading
Summary
Despite the continuous development of new functional materials, such as polymers and composites, e.g., [1, 2], metals are still widely used in different branches of industry. A case where metallic structural elements are subjected to cyclic loadings is common. Many constitutive equations were developed with the purpose of describing mechanical properties of metals in both the elastic and the elastoplastic ranges of strains. The constitutive models which are based on the notions of yield condition and flow rule are the most commonly used. The simple classical models of the flow theory of plasticity fail to properly capture material response when it is subjected to more complex and cyclic loadings. There is a need for more sophisticated constitutive models which are able to correctly describe the material behavior in these conditions. Armstrong and Frederick [6] developed a more advanced kinematic hardening rule which describes the evolution of the so-called backstress variable
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