Constitutive modelling of viscoplasticity in a nickel-based superalloy at high temperature

Zhan, Zhi Lan; Fernando, Upul S.; Tong, Jie

doi:10.1016/j.ijfatigue.2007.06.010

Cited by 20 publications

(8 citation statements)

References 39 publications

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“…The stress on the trailing partial trail is similarly computed as a function of applied stress and the intrinsic stacking fault energy Q ISF as follows Equations (22) and (23) are used for calculation of stresses on leading and trailing dislocation partials and the condition for dissociation of the partials at the precipitate-matrix interface depends upon the following criteria.…”

Section: Stress On the Trailing Partialmentioning

confidence: 99%

“…17,18 Some of the modeling efforts for both single crystal and polycrystalline nickel-based alloys are presented in the literature. 19–23 Although life prediction and failure analysis of all the high temperature components made of these superalloys are very important, the failure of aircraft engine disc material, which is of polycrystalline microstructure, is receiving the recent attention of researchers. The micromechanics of creep in these materials are very complex.…”

Section: Introductionmentioning

confidence: 99%

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Development of a model for simulation of micro-twin and corresponding asymmetry in high temperature deformation behavior of nickel-based superalloy single crystals using crystal plasticity-based framework

Samal

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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Development of reliable computational models to predict the high temperature deformation behavior of nickel-based superalloys is in the forefront of materials research. These alloys find wide applications in manufacturing of turbine blades and discs of aircraft engines. The microstructure of these alloys consists of the primary γ′-phase, and the secondary and tertiary precipitates (of Ni3Al type) are dispersed as γ′-phases in the gamma matrix. It is computationally expensive to incorporate the explicit finite element model of the γ-γ′ microstructure in a crystal plasticity-based constitutive framework to simulate the response of the polycrystalline microstructure. Existing models in literature do not account for these underlying micro-structural features which are important for simulation of polycrystalline response. The aim of this work is to develop a physically motivated multi-scale approach for simulation of high temperature response of nickel-based superalloys. At the lower length scale, a dislocation density-based crystal plasticity model is developed which simulates the response of various types of microstructures. The microstructures are designed with various shapes and volume fractions of γ′-precipitates. A new model for simulation of the mechanism of anti-phase boundary shearing of the γ′-precipitates, by the matrix dislocations, is developed in this work. The lower scale model is homogenized as a function of various micro-structural parameters, and the homogenized model is used in the next scale of multi-scale simulation. In addition, a new criterion for initiation of micro-twin and a constitutive model for twin strain accumulation are developed. This new micro-twin model along with the homogenized crystal plasticity model has been used to simulate the creep response of a single crystal nickel-based superalloy, and the results have been compared with those of experiment from literature. It was observed that the new model has been able to model the tension–compression asymmetry as observed in single crystal experiments.

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Section: Stress On the Trailing Partialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Development of a model for simulation of micro-twin and corresponding asymmetry in high temperature deformation behavior of nickel-based superalloy single crystals using crystal plasticity-based framework

Samal

2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Such kinematic hardening laws often build on the simple hardening modulus models of Prager [8] and Ziegler [9] to include dynamic recovery (as in the Armstrong-Frederick model [10]) effects and beyond. An isothermal application of a power law flow rule viscoplastic model may be found in Zhan et al [11], wherein a Nickel superalloy tested at 650 o C was considered and modelled with an enhanced kinematic hardening model that accounted for memory effects. Of particular note in this work was the inclusion of correlation coefficients for the material parameters required by the model.…”

Section: Introductionmentioning

confidence: 99%

A viscoelastic – viscoplastic material model for superalloy applications

Rouse

Engel

Hyde

et al. 2020

International Journal of Fatigue

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An understanding of rate dependency over a wide range of time scales is vitally important in approximating the transient response of critical components operating in extreme environments. Many examples of viscoplastic model formulations can be found in the literature, wherein all rate dependency is assumed to occur after yielding. Such models neglect any viscous effects during elastic deformation. In the present work, a unified viscoelastic -viscoplastic material model is developed for the Nickel superalloy RR1000. Particular emphasis is placed on model parameter determination, which is accomplished using standard cyclic plasticity and stress relaxation experimental data.

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“…1,2,5,7 At temperatures where creep and time-independent inelastic strain occur simultaneously such as in creep-fatigue interaction loadings, viscoplasticity models have been developed to predict the cyclic stress relaxation. [2][3][4] Further, several improvements have been incorporated in the viscoplastic formulation to account for the strain range dependence, 8 thermomechanical loading, 9 plastic strain memory, 10 and multiaxial effects. 5,11 For the simulation of cyclic plasticity with "Chaboche non-linear isotropic kinematic hardening model (NLIKH)", it has been reported that the kinematic-hardening (KH) parameters have been obtained either from the first cycle loop or stabilized cycle loop or from the cyclic stress-strain curve (CSSC).…”

Section: Introductionmentioning

confidence: 99%

Simulation of low cycle fatigue stress‐strain response in 316LN stainless steel using non‐linear isotropic kinematic hardening model—A comparison of different approaches

Ashraf

Reddy

Sandhya

et al. 2017

Fatigue Fract Eng Mat Struct

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Cyclic stress‐strain response of 316LN stainless steel subjected to low cycle fatigue at strain amplitude of ±0.4% and at 873 K is simulated using finite element analysis with non‐linear isotropic‐kinematic hardening Chaboche model. Four different approaches have been used in simulating cyclic stress response and hysteresis loops: 3 based on Chaboche model‐parameters and the fourth on direct experimental data (stabilized loop and cyclic stress‐strain curve [CSSC]). Among them, simulations performed with direct experimental data have not yielded expected initial cyclic response. The source of data used for evaluation of kinematic‐hardening (KH) parameters determined the extent of closeness between experimental results and Chaboche‐model predictions. KH parameters determined from first‐cycle loop and modified‐CSSC predicted the overall stress‐strain response (from initial to stabilized condition) with reasonable fit, compared with other approaches. All 4 approaches though predicted stabilized response, simulations based on “KH‐parameters from stabilized‐cycle” accurately described stabilized response with coefficient of determination (r2) 0.995.

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Constitutive modelling of viscoplasticity in a nickel-based superalloy at high temperature

Cited by 20 publications

References 39 publications

Development of a model for simulation of micro-twin and corresponding asymmetry in high temperature deformation behavior of nickel-based superalloy single crystals using crystal plasticity-based framework

Development of a model for simulation of micro-twin and corresponding asymmetry in high temperature deformation behavior of nickel-based superalloy single crystals using crystal plasticity-based framework

A viscoelastic – viscoplastic material model for superalloy applications

Simulation of low cycle fatigue stress‐strain response in 316LN stainless steel using non‐linear isotropic kinematic hardening model—A comparison of different approaches

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