A time increment control for return mapping algorithm applied to cyclic viscoplastic constitutive models

Szmytka, Fabien; Forre, Agathe; Augustins, Louis

doi:10.1016/j.finel.2015.04.006

Cited by 6 publications

(3 citation statements)

References 28 publications

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“…Such complex models are usually not integrated in industrial solvers as Abaqus which however offer to code a user model. This step requires the necessary complex writing of a numerical integration scheme, widely documented in the literature [52] and already applied for physically-based models in the automotive industry [19,53]. The integration procedures are based on a fully implicit integration scheme associated with a radial return, which has been proved unconditionally stable and faster for temperature dependent yield limit and viscous flow.…”

Section: From Experimental Specimens To Real Structures: a Validation Strategymentioning

confidence: 99%

Some Recent Advances on Thermal–mechanical Fatigue Design and Upcoming Challenges for the Automotive Industry

Szmytka

Osmond

Rémy

et al. 2019

Metals

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Automotive industry faces numerous evolutions regarding environment regulations and parts reliability. Through the specific case of a cylinder head, actual and forthcoming challenges for low-cycle and thermal–mechanical fatigue design in an industrial context are presented. With a description of current design approaches and highlighting limitations, this work focuses on variable loadings, constitutive models and their interaction with the environment, fatigue criteria, and structure validations, the four major steps to meet a reliable design. The need to carry out extended experimental databases for different complexity levels is emphasized to provide a better understanding of loadings and their impact on the strength of materials and structures, as well as the production of more physically-based models that are easier to identify and lead to higher levels of reliability in the thermal–mechanical design process.

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Section: From Experimental Specimens To Real Structures: a Validation Strategymentioning

confidence: 99%

Some Recent Advances on Thermal–mechanical Fatigue Design and Upcoming Challenges for the Automotive Industry

Szmytka

Osmond

Rémy

et al. 2019

Metals

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“…Non-proportional fatigue analysis (Bhattacharyya et al, 2018a) and damage computations (Alameddin et al, 2018 andBhattacharyya et al, 2018b) in 2D structures have been carried out using the mentioned method. Based on the concavity of the hysteresis loop automatic adjustments to chosen time increments have been proposed (Szmytka et al, 2015) which reduces the increment when a strong non-linearity is faced, otherwise a free evolution is allowed. Large trial stress state with good convergence for return mapping method was shown by a line search algorithm (Scherzinger, 2017).…”

Section: Introductionmentioning

confidence: 99%

Continuum damage mechanics of cyclic viscoplasticity using asymptotic numerical method

Sen,

Patel

2023

International Journal of Damage Mechanics

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Conscious efforts on reduction of greenhouse gas emissions have led to an energy transition to renewable energy, however uncertainties of renewable energy production have resulted in higher thermal cycling demands from conventional power plants. Thermal load cycling at high temperature regions of steam turbine components leads to enhanced creep-fatigue damage accumulation. It is well established that such damage mechanism is numerically best predicted by unified constitutive modeling including damage as a variable as per the formalism of continuum damage mechanics at an expense of considerable computational efforts using finite element analysis. In this paper, the non-iterative Asymptotic Numerical Method (ANM), currently limited to partial cycle analysis with linear hardening plasticity model, is proposed for the first time to address cyclic viscoplasticity problems including damage capable of handling multiple cycles and most generalized loading conditions. Regularization techniques additionally necessary to implement loading-unloading-reloading criteria and advanced constitutive models etc. are presented. The constitutive model chosen for the formulation includes the non-linear multiple back stress variable modified Chaboche model to include damage combined with modified Chaboche-Rousselier isotropic hardening model to include damage, power law for viscoplasticity, Lemaitre’s damage potential and Kachanov-Rabotnov’s creep damage law. The method is verified with defined error measures and then applied to two high pressure steam turbine rotors, one with and another without thermal stress relief groove (TSRG) at the inlet under service type loading conditions to study the beneficial effect of the TSRG on creep-fatigue damage evolution. The accumulated errors of the proposed ANM and computational time are compared to a conventional Newton-Raphson solution.

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“…The rate-dependent ratcheting characteristics of 35CRMo alloy have been investigated under cyclic uniaxial tension considering different stress amplitudes at high temperature by Zheng [31]. There are also other papers deal with viscoplastic constitutive models such as those studied by Dong [32], Feng [33], Szmytka [34], Kyaw [35], Ahmed [36], Luk-Cyr [37] and XiaoAn [38].…”

Section: Introductionmentioning

confidence: 99%

Ratcheting response of spherical vessels under load-controlled condition based on the Chaboche viscoplastic model

Falahi¹,

Mahbadi²,

Eslami³

2020

JSEAM

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In this study, ratcheting behavior of thick spherical vessels subjected to mechanical cyclic loads at elevated temperature, using the Chaboche unified viscoplastic model with combined kinematic and isotropic theory of plasticity, is investigated. Since this model is rate dependent, loading rate plays a crucial role on the ratcheting responses. A precise and general numerical procedure, using the modified successive approximation iterative method of solution to solve the non-linear equations, is developed to obtain the cyclic inelastic creep and plastic strains. Effects of loading and unloading rate, inside pressure, thickness of vessel, creep time and environmental temperature on ratcheting responses, and stress amplitude of the vessel due to the inside pressure cyclic loading at elevated temperature are obtained. The ratcheting response is observed for the load-controlled conditions, as investigated in this paper. It is shown that increasing the loading and unloading rates and the thickness of pressure vessels, result into decrease in the ratcheting rate while increasing the inside pressure, creep time, and temperature distribution increase the ratcheting rate. Also, stress amplitude decreases with increasing the creep time and thickness of vessel. On the other hand, increasing the loading and unloading rate, inside pressure, and temperature distribution result into increasing the stress amplitude. The results obtained using the applied method in this study is verified with the experimental data given in the literature. By simplifying the constitutive model, numerical results are compared with the finite elements results.

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A time increment control for return mapping algorithm applied to cyclic viscoplastic constitutive models

Cited by 6 publications

References 28 publications

Some Recent Advances on Thermal–mechanical Fatigue Design and Upcoming Challenges for the Automotive Industry

Some Recent Advances on Thermal–mechanical Fatigue Design and Upcoming Challenges for the Automotive Industry

Continuum damage mechanics of cyclic viscoplasticity using asymptotic numerical method

Ratcheting response of spherical vessels under load-controlled condition based on the Chaboche viscoplastic model

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