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Research Papers: Design and Analysis

A Unified Continuum Damage Mechanics Model for Predicting the Stress Relaxation Behavior of High-Temperature Bolting

[+] Author and Article Information
J. Q. Guo

Laboratory of Mechanical Structural Strength,
Anyang Institute of Technology,
1Yellow-River Avenue, Anyang,
Henan 455000, China
e-mail: yefu111@163.com

X. T. Zheng

School of Mechanical Engineering,
Wuhan Institute of Technology,
693 Xiongchu Avenue, Wuhan,
Hubei 430073, China

W. Z. Meng

Laboratory of Mechanical Structural Strength,
Anyang Institute of Technology,
1Yellow-River Avenue, Anyang,
Henan 455000, China

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 11, 2012; final manuscript received June 24, 2013; published online October 23, 2013. Assoc. Editor: Hakim A. Bouzid.

J. Pressure Vessel Technol 136(1), 011203 (Oct 23, 2013) (6 pages) Paper No: PVT-12-1091; doi: 10.1115/1.4025084 History: Received July 11, 2012; Revised June 24, 2013

Two stress relaxation constitutive models have been developed to predict the stress relaxation behavior for high-temperature bolting according to continuum damage mechanics, Kachanov–Robatnov (K–R), and Othman–Hayhurst (O–H) creep constitutive equations as well as stress relaxation strain equations. To validate the effectiveness of constitutive equations, the predicted results were compared with the experimental data of uniaxial isothermal stress relaxation tests using 1Cr10NiMoW2VNbN steel. The results show that the results obtained by the stress relaxation constitutive model based on the K–R creep equation overestimates the stress relaxation behavior, while the model deduced by the O–H creep equation is more in agreement with the experimental data. Moreover, the stress relaxation damage predicted increases with the increment of initial stress significantly. These indicate that the new models can predict the stress relaxation behavior of high-temperature bolting well.

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Figures

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Fig. 1

Stress relaxation testing specimen

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Fig. 2

Creep curves of 1Cr10NiMoW2VNbN under different initial stresses

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Fig. 3

Calculated results of K–R and O–H laws-based relaxation constitutive equations under different initial stresses

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Fig. 4

Comparison of calculated results of relaxation constitutive equations based on the K–R law and testing curves at three initial stresses

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Fig. 5

Comparison of calculated results of relaxation constitutive equations based on the O–H law and testing curves at three initial stresses

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Fig. 6

Damage curves of relaxation constitutive equations based on the K–R and O–H laws at three initial stresses

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