A computationally fast and accurate procedure for the identification of the Chaboche isotropic-kinematic hardening model parameters based on strain-controlled cycles and asymptotic ratcheting rate

Santus, Ciro; Grossi, Tommaso; Romanelli, Lorenzo; Pedranz, M.; Benedetti, M.

doi:10.1016/j.ijplas.2022.103503

Cited by 19 publications

(18 citation statements)

References 77 publications

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“…It is noted that 𝜒𝜒 𝑖𝑖 backstress components are contained between two asymptotes which describe the equilibrium points 𝜒𝜒 𝑖𝑖 𝑚𝑚𝑖𝑖𝑛𝑛 and 𝜒𝜒 𝑖𝑖 𝑚𝑚𝑚𝑚𝑚𝑚 (Eq. 13-14) [40][41][42], depending on that the material is loaded or unloaded. The equilibrium points are never reached (Fig.…”

Section: Constitutive Equations Of the Cikh Modelmentioning

confidence: 99%

“…The second approach for the identification of kinematic hardening parameters is the procedure proposed by Santus et al [40]. The stabilized cycles of two cyclic stress-strain curves obtained in symmetrical and non-symmetrical cyclic loading tests are used herefor 𝜀𝜀 = −0.5 ÷ 1% and 𝜀𝜀 = ±1%.…”

Section: Figure 2 Interpretation Of Three Backstresses Componentsmentioning

confidence: 99%

“…Such identification is very important for the right prediction of the material behaviour in different, even catastrophic situations caused by the cyclic loading. Different identification procedures of hardening parameters (the last stabilized cycle method, the procedure proposed by Santus et al [40]) based on the experimental strain-controlled cyclic loading tests are tested here. The procedures are focused on the stabilized cycles of hysteresis loops.…”

Section: Introductionmentioning

confidence: 99%

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Computational Methods of the Identification of Chaboche Isotropic-Kinematic Hardening Model Parameters Derived from the Cyclic Loading Tests

Wójcik,

Gontarz,

Skrzat

et al. 2024

Adv. Sci. Technol. Res. J.

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The Chaboche-Lemaitre combined isotropic-kinematic hardening model (CKIH) gives an overall information about the material behaviour under cyclic loading. The identification of hardening parameters is a difficult and time-consuming problem. The procedure of the parameters identification using the experimental hysteresis curve obtained in a cyclic loading test under strain control is presented in details here for a S235JR construction steel. The last stabilized cycle extracted from the hysteresis curve is required for the identification of hardening parameters. The model with three backstresses is tested here. The optimization algorithm is also used for the improvement of the agreement between experimental and numerical data. In order to include some uncertainty of experiment and the identification procedure, the authorial algorithm written on the basis of the fuzzy logic soft-computing method is applied here. The results obtained show that the identification procedure presented in this paper ensures the good agreement between the experimental tests and numerical calculations. The correct selection of parameters associated with the hardening is essential for the right description of material behaviour subject to loading in different engineering problems, including in metal forming processes.

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Section: Constitutive Equations Of the Cikh Modelmentioning

confidence: 99%

Section: Figure 2 Interpretation Of Three Backstresses Componentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computational Methods of the Identification of Chaboche Isotropic-Kinematic Hardening Model Parameters Derived from the Cyclic Loading Tests

Wójcik,

Gontarz,

Skrzat

et al. 2024

Adv. Sci. Technol. Res. J.

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“…Different methods of the determination of hardening parameters have been applied over the years. Most of them are based on the experimental data obtained under the uniaxial strain-controlled cyclic loading tests [15][16][17]. In the author's previous research [18,19], the procedure of the determination of the parameters for the Chaboche-Lemaitre and Voce kinematic-isotropic hardening models based on the half of the first or the last stabilized cycle from the hysteresis curve is described.…”

Section: Introductionmentioning

confidence: 99%

Explicit and Implicit Integration of Constitutive Equations of Chaboche Isotropic-Kinematic Hardening Material Model

Skrzat,

Wójcik

2023

Acta Metall Slovaca

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The proper selection of the material model and its parameters in numerical simulations of the material response under loading is a very important task. In the cyclic load one should assume different phenomena, e.g. ratchetting effect, the mean stress relaxation, creep, etc. The Chaboche kinematic hardening model is mainly applied in order to capture the Bauschinger effect due to its good description of the material behaviour under the cyclic loading. The modified Chaboche isotropic-kinematic hardening model is considered in this paper in order to simulate the strain-controlled and stress-controlled uniaxial cyclic tension-compression test. The implicit and explicit integration procedures are tested here, showing advantages and disadvantages of both methods. It is shown that both approaches provide similar results. The implicit integration method of constitutive equations is unconditionally stable and thus less calculation steps are required in comparison to the explicit procedure. The implicit and explicit integration of the Chaboche model including isotropic and kinematic hardening are then implemented for the 3D case in commercial ABAQUS program in the form of the user material procedure. The correctness of results obtained for the user material model is verified by comparison to results for commercially implemented Chaboche model.

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“…The approach presents a combined hardening model which considers isotropic as well as non-linear kinematic hardening and is therefore capable of describing the evolution of size and position of the yield surface in the space of stresses. The evaluation of the applicable constitutive model parameters is a well-researched topic and comprehensively published [31][32][33][34][35]. The application of combined hardening material models covers a broad variety of advanced research topics such as creep-fatigue analysis at elevated temperatures or uni-to multiaxial loading conditions in static and dynamic structural integrity analysis [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

A Numerically Efficient Method to Assess the Elastic–Plastic Strain Energy Density of Notched and Imperfective Cast Steel Components

2023

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The fatigue strength of cast steel components is severely affected by manufacturing process-based bulk and surface imperfections. As these defect structures possess an arbitrary spatial shape, the utilization of local assessment methods is encouraged to design for service strength. This work applies the elastic–plastic strain energy density concept to study the fatigue strength properties of a high-strength cast steel alloy G12MnMo7-4+QT. A fatigue design limit curve is derived based on non-linear finite element analyses which merges experimental high-cycle fatigue results of unnotched and notched small-scale specimens tested at three different stress ratios into a unique narrow scatter band characterized by a scatter index of 1:TΔW¯(t)=2.43. A comparison to the linear–elastic assessment conducted in a preceding study reveals a significant improvement in prediction accuracy which is assigned to the consideration of the elastic–plastic material behaviour. In order to reduce computational effort, a novel approximation is presented which facilitates the calculation of the elastic–plastic strain energy density based on linear–elastic finite element results and Neuber’s concept. Validation of the assessment framework reveals a satisfying agreement to non-linear simulation results, showing an average root mean square deviation of only approximately eight percent in terms of total strain energy density. In order to study the effect of bulk and surface imperfections on the fatigue strength of cast steel components, defect-afflicted large-scale specimens are assessed by the presented elastic–plastic framework, yielding fatigue strength results which merge into the scatter band of the derived design limit curve. As the conducted fatigue assessment is based solely on linear–elastic two-dimensional simulations, the computational effort is substantially decreased. Within the present study, a reduction of approximately 400 times in computation time is observed. Hence, the established assessment framework presents an engineering-feasible method to evaluate the fatigue life of imperfective cast steel components based on rapid total strain energy density calculations.

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A computationally fast and accurate procedure for the identification of the Chaboche isotropic-kinematic hardening model parameters based on strain-controlled cycles and asymptotic ratcheting rate

Cited by 19 publications

References 77 publications

Computational Methods of the Identification of Chaboche Isotropic-Kinematic Hardening Model Parameters Derived from the Cyclic Loading Tests

Computational Methods of the Identification of Chaboche Isotropic-Kinematic Hardening Model Parameters Derived from the Cyclic Loading Tests

Explicit and Implicit Integration of Constitutive Equations of Chaboche Isotropic-Kinematic Hardening Material Model

A Numerically Efficient Method to Assess the Elastic–Plastic Strain Energy Density of Notched and Imperfective Cast Steel Components

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