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Research Papers

Crystal Viscoplasticity of a Ni-Base Superalloy in the Aged State

[+] Author and Article Information
M. M. Kirka

The George W. Woodruff School of
Mechanical Engineering,
Georgia Institute of Technology,
Atlanta, GA 30313

R. W. Neu

The George W. Woodruff School of
Mechanical Engineering;
The School of Materials Science
and Engineering,
Georgia Institute of Technology,
Atlanta, GA 30313
e-mail: rick.neu@gatech.edu

1Present address: Oak Ridge National Laboratory, Oak Ridge, TN, 37931.

2Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received May 17, 2017; final manuscript received July 31, 2017; published online July 10, 2018. Assoc. Editor: Peter W. Chung.

J. Eng. Mater. Technol 141(1), 011003 (Jul 10, 2018) (12 pages) Paper No: MATS-17-1140; doi: 10.1115/1.4040222 History: Received May 17, 2017; Revised July 31, 2017

Arising from long-term high temperature service, the microstructure of nickel-base (Ni-base) superalloy components undergoes thermally and deformation-induced aging characterized by isotropic coarsening and directional coarsening (rafting) of the γ precipitates. The net result of the morphological evolutions of the γ particles is a deviation of the mechanical behavior from that of the as-heat treated properties. To capture the influence of a rafted and isotropic aged microstructure states on the long-term constitutive behavior of a Ni-base superalloy undergoing thermomechanical fatigue (TMF), a temperature-dependent crystal viscoplasticity (CVP) constitutive model is extended to include the effects of aging. The influence of aging in the CVP framework is captured through the addition of internal state variables that measure the widening of the γ channels and in-turn update the material parameters of the CVP model. Through the coupling with analytical derived kinetic equations to the CVP model, the enhanced CVP model is shown to be in good agreement when compared to experimental behavior in describing the long-term aging effects on the cyclic response of a directionally solidified (DS) Ni-base superalloy used in hot section components of industrial gas turbines.

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Figures

Grahic Jump Location
Fig. 1

Comparison of the (a) virgin microstructure to that of the resulting, (b) isotropically coarsened, (c) N-raft, and (d) P-raft microstructures

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Fig. 2

Strain history for a Ni-base superalloy efficient calibration experiment in the strain rate sensitive regime capturing the mechanical response of multiple deformation mechanisms

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Fig. 3

Tapered specimen drawing with dimensions in mm

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Fig. 4

Microstructure γ−γ′ unit cell in Ni-base superalloy

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Fig. 10

Comparison of the experimental isothermal hysteresis response of the P-raft microstructure in the L-orientation to the CVP calibration results at (a) 650 °C, (b) 750 °C, (c) 850 °C, and (d) 950 °C

Grahic Jump Location
Fig. 11

CVP model prediction for half-life hysteresis behavior of isotropically coarsened microstructure under IP Rϵ = 0 TMF, 100-750 °C loading conditions with 20 min tensile dwell

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Fig. 12

CVP model prediction for half-life hysteresis behavior of N-raft microstructure under IP Rϵ = 0 TMF, 100–950 °C loading conditions with 20 min tensile dwell

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Fig. 13

CVP model prediction for half-life hysteresis behavior of P-raft microstructure under OP Rϵ = − TMF, 100–950 °C loading conditions with 20 min compressive dwell

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Fig. 8

Comparison of the experimental isothermal hysteresis response of the stress-free coarsened microstructure in the L-orientation to the CVP calibration results at (a) 650 °C, (b) 750 °C, (c) 850 °C, and (d) 950 °C

Grahic Jump Location
Fig. 9

Comparison of the experimental isothermal hysteresis response of the N-raft microstructure in the L-orientation to the CVP calibration results at (a) 650 °C, (b) 750 °C, (c) 850 °C, and (d) 950 °C

Grahic Jump Location
Fig. 6

0.02% yield strength comparison for the DS Ni-base superalloy CM247 LC in the L-orientation for the virgin, isotropically coarsened, N-raft, and P-raft microstructures [9]

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Fig. 7

Comparison of the experimental isothermal hysteresis response of the virgin microstructure in the L-orientation to the CVP calibration results at (a) 650 °C, (b) 750 °C, (c) 850 °C, and (d) 950 °C

Grahic Jump Location
Fig. 14

Dependence of γ′ volume fraction on temperature for CM247-LC as determined through JMatPro v8

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Fig. 5

Rate of γ channel widening under uniaxial conditions as a function of stress and temperature

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