Simulation of creep and cyclic viscoplastic strains in high-Cr steel components based on a modified Becker–Hackenberg model

Wang, J.; Steinmann, Paul; Rudolph, Jürgen; Willuweit, Adrian

doi:10.1016/j.ijpvp.2015.02.003

Cited by 13 publications

(7 citation statements)

References 29 publications

(49 reference statements)

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“…with parameter C, while a physical interpretation of this parameter is given in the next section. After all, one obtains a system of three differential equations: the differential equation (27) with respect to the inelastic strain rate as well as the evolution equations (28) and (29) for the internal state variables b and G.…”

Section: Phase Mixture Modelmentioning

confidence: 99%

“…The identification starts with the saturation backstress b I , cf. equation (28). Taking equations (55) and (56) as well as a constant temperature level, that is, _ T = 0, into account, equations (27) and (28) can be simplified such that one obtains the following Figure 6.…”

Section: Hardening Behaviormentioning

confidence: 99%

“…The above equations are based on the additive decomposition of strains (e = e el + e in ) as well as equations (28) and (29). These equations have been simplified assuming stationary temperature and positive strain rates because high-temperature tensile tests will be treated in the following.…”

Section: Softening Behaviormentioning

confidence: 99%

See 2 more Smart Citations

Calibration of a phase mixture model for hardening and softening regimes in tempered martensitic steel over wide stress and temperature ranges

Eisenträger

Naumenko

Altenbach

2018

The Journal of Strain Analysis for Engineering Design

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Tempered martensitic steels are used for turbine components in power plants under high temperatures (T'873 K). In addition, the components are subjected to temperature changes during start-up and shutdown procedures. In order to model the mechanical behavior of tempered martensitic steels in the high-temperature range, this article presents a phase mixture model accounting for hardening and softening effects. The alloy is described as an iso-strain mixture of a hard phase and a soft phase. Thereby, the hard phase is related to the subgrain boundaries, that is, regions with high dislocation density, while the soft phase is related to the subgrain interior, that is, regions with low dislocation density. The volume fraction of the hard phase is assumed to decrease toward a saturation value, such that softening effects due to the coarsening of subgrains are taken into account. The introduction of two internal variables, a backstress and a softening variable, allows for the calibration based on macroscopic material tests, that is, creep and high-temperature tensile tests. Special emphasis is placed on the detailed description of this non-trivial calibration procedure. The calibration is based on the distinction of stresses and strain rates in initial and steady states. Starting from three differential equations with respect to the inelastic overall strain rate, the backstress, and the softening variable, all required functions and parameters are determined. The calibrated model is verified by the simulation of additional material tests at high temperature, highlighting the wide application range with respect to stresses (100À700 MPa) and temperature (673À923 K).

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Section: Phase Mixture Modelmentioning

confidence: 99%

Section: Hardening Behaviormentioning

confidence: 99%

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Calibration of a phase mixture model for hardening and softening regimes in tempered martensitic steel over wide stress and temperature ranges

Eisenträger

Naumenko

Altenbach

2018

The Journal of Strain Analysis for Engineering Design

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“…Indeed, the cyclic strain hardening was caused by the hardening of both drag and back stresses. The back stress was divided into two terms, (1) and (2) , where the cyclic hardening was caused by the hardening of (2) . The evolution equations for (1) and (2) were of the Bailey-Orwan type.…”

Section: Evolution Lawmentioning

confidence: 99%

“…Consequently, the operational cycles cause serious thermomechanical fatigues and creep-fatigue failures. An important source of inelasticity in the material structure is creep and viscoplasticity [1,2], which might be produced by microstructural changes [3,4]. Especially within such practical engineering materials, more than one damage mechanism might exist, such as the creepviscoplasticity interaction.…”

Section: Introductionmentioning

confidence: 99%

A Unified Constitutive Model for Creep and Cyclic Viscoplasticity Behavior Simulation of Steels Based on the Absolute Reaction Rate Theory

Chen

Zeng

Guo

et al. 2017

Advances in Materials Science and Engineering

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In this work, the viscoplasticity and creep behavior for modified 9Cr-1Mo and 316 stainless steels were investigated. Based on the absolute reaction rate theory, a unified constitutive model incorporating internal state variables was proposed to characterize the evolution of the back stress. Also, the model was implemented by the ABAQUS system with the semi-implicit stress integration. Compared to the experimental data, the results demonstrated that the proposed approach could effectively simulate the cyclic softening and hardening behavior for such structural steels.

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Analysis of a Power Plant Rotor Made of Tempered Martensitic Steel Based on a Composite Model of Inelastic Deformation

Eisenträger

Naumenko

Kostenko

et al. 2019

Advances in Mechanics of High-Temperature Materials

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Simulation of creep and cyclic viscoplastic strains in high-Cr steel components based on a modified Becker–Hackenberg model

Cited by 13 publications

References 29 publications

Calibration of a phase mixture model for hardening and softening regimes in tempered martensitic steel over wide stress and temperature ranges

Calibration of a phase mixture model for hardening and softening regimes in tempered martensitic steel over wide stress and temperature ranges

A Unified Constitutive Model for Creep and Cyclic Viscoplasticity Behavior Simulation of Steels Based on the Absolute Reaction Rate Theory

Analysis of a Power Plant Rotor Made of Tempered Martensitic Steel Based on a Composite Model of Inelastic Deformation

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