Citation: | MA Qin, YU Wenhao, CHAI Yijun, YANG Xiongwei, LI Yueming. Stress Relaxation Behavior at Medium Temperature and Creep Constitutive Equation Modification of GH4169 Alloy[J]. Materials and Mechanical Engineering, 2024, 48(12): 112-120. DOI: 10.11973/jxgccl230619 |
The stress relaxation tests were carried out for GH4169 alloy at temperatures of 450–550 ℃, time of 600 h and initial stress of 800 MPa, and the stress relaxation behavior was analyzed. The relationship between stress and time was fitted by using the cubic delay function. The threshold stress was introduced to modify the Arrhenius creep constitutive model. The stress relaxation curves were obtained by unmodified and modified models and were compared with the test results. The results show that the remaining stress of GH4169 alloy after stress relaxation tests first decreased and then increased with the increase of temperature, and the stress relaxation amounts at 450,500,550 ℃ were about 12,18,15 MPa, respectively. The constructed cubic delay function could accurately describe the relationship between stress and time of GH4169 alloy, with the fitting correlation coefficients all greater than 0.999. The stress relaxation curves of GH4169 alloy at medium temperature simulated by modified Arrhenius model with introducing threshold stress were in good agreement with the test results, with the maximum relative error of 0.02%. The stress relaxation curves simulated at 500 ℃ and 550 ℃ based on unmodified Arrhenius model had a larger deviation from the test results, and the maximum relative error was 0.1%. The modified Arrhenius model could better predict the stress relaxation behavior of GH4169 alloy at medium temperature.
[1] |
KUO C M ,YANG Y T ,BOR H Y ,et al. Aging effects on the microstructure and creep behavior of Inconel 718 superalloy[J]. Materials Science and Engineering:A,2009,510:289-294.
|
[2] |
RAO G A ,KUMAR M ,SRINIVAS M ,et al. Effect of standard heat treatment on the microstructure and mechanical properties of hot isostatically pressed superalloy Inconel 718[J]. Materials Science and Engineering:A,2003,355(1/2):114-125.
|
[3] |
AZADIAN S ,WEI L Y ,WARREN R. Delta phase precipitation in Inconel 718[J]. Materials Characterization,2004,53(1):7-16.
|
[4] |
WARREN J ,WEI D Y. The cyclic fatigue behavior of direct age 718 at 149,315,454 and 538 ℃[J]. Materials Science and Engineering:A,2006,428(1/2):106-115.
|
[5] |
KALININ G ,BARABASH V ,CARDELLA A ,et al. Assessment and selection of materials for ITER in-vessel components[J]. Journal of Nuclear Materials,2000,283:10-19.
|
[6] |
SCHOLZ R ,MATERA R. Proton irradiation creep of Inconel 718 at 300 ℃[J]. Journal of Nuclear Materials,2000,283:414-417.
|
[7] |
WANG Y Z ,DONG J X ,ZHANG M C ,et al. Stress relaxation behavior and mechanism of AEREX350 and Waspaloy superalloys[J]. Materials Science and Engineering:A,2016,678:10-22.
|
[8] |
GJESTLAND H ,NUSSBAUM G ,REGAZZONI G ,et al. Stress-relaxation and creep behaviour of some rapidly solidified magnesium alloys[J]. Materials Science and Engineering:A,1991,134:1197-1200.
|
[9] |
YANG X S ,WANG Y J ,ZHAI H R ,et al. Time-,stress-,and temperature-dependent deformation in nanostructured copper:Creep tests and simulations[J]. Journal of the Mechanics and Physics of Solids,2016,94:191-206.
|
[10] |
PRASAD K ,SARKAR R ,GHOSAL P ,et al. Tensile deformation behaviour of forged disc of IN 718 superalloy at 650 ℃[J]. Materials & Design,2010,31(9):4502-4507.
|
[11] |
KIM D H ,KIM J H ,SA J W ,et al. Stress rupture characteristics of Inconel 718 alloy for ramjet combustor[J]. Materials Science and Engineering:A,2008,483:262-265.
|
[12] |
RAHIMI S ,KING M ,DUMONT C. Stress relaxation behaviour in IN718 nickel based superalloy during ageing heat treatments[J]. Materials Science and Engineering:A,2017,708:563-573.
|
[13] |
CALVO J ,SHU S Y ,CABRERA J M. Characterization of precipitation kinetics of Inconel 718 superalloy by the stress relaxation technique[J]. Materials Science Forum,2012,706/707/708/709:2393-2399.
|
[14] |
LU X D ,SHI S Y ,WEN B ,et al. Stress relaxation behavior of GH4169 alloy[J]. Materials Science Forum,2020,1013:52-58.
|
[15] |
迟海,郭霞,刘伟丽,等. GH4169合金的反常应力松弛行为[J]. 机械工程材料,2019,43(7):64-68.
CHI H ,GUO X ,LIU W L ,et al. Abnormal stress relaxation behavior of GH4169 alloy[J]. Materials for Mechanical Engineering,2019,43(7):64-68.
|
[16] |
ZHANG X Z ,DENG Y ,LIANG T ,et al. Modeling and verification of stress relaxation behavior of Ti-6Al-4V[J]. MATEC Web of Conferences,2020,321:11076.
|
[17] |
DENG X W ,HUI S X ,YE W J ,et al. Numerical simulation and process optimization on hot twist-stretch straightening of Ti-6Al-4V alloy profile[J]. Materials,2022,15(13):4522.
|
[18] |
DENG T S ,LI S ,LIANG Y Q ,et al. Material characterization and validation for stress relaxation of Ti-4Al-1.5Mn alloy at high temperature[J]. Rare Metal Materials and Engineering,2021,50(3):829-834.
|
[19] |
毕静,崔学习,张艳苓,等. Ti-6Al-4V钛合金薄板应力松弛行为研究[J]. 机械工程学报,2019,55(18):43-52.
BI J ,CUI X X ,ZHANG Y L ,et al. Investigations on stress relaxation behavior of Ti-6Al-4V titanium alloy thin sheet[J]. Journal of Mechanical Engineering,2019,55(18):43-52.
|
[20] |
XIAO J J ,LI D S ,LI X Q. Modeling and simulation for the stress relaxation behavior of Ti-6Al-4V at medium temperature[J]. Rare Metal Materials and Engineering,2015,44(5):1046-1051.
|
[21] |
穆霞英. 蠕变力学[M]. 西安:西安交通大学出版社,1990.
MU X Y. Creep mechanics[M]. Xi'an:Xi'an Jiaotong University Press,1990.
|
[22] |
NAZMY M ,GERDES C. The relaxation behavior of high chromium-Ni base superalloys[J]. Advanced Materials Research,2011,278:321-326.
|
[23] |
KARADGE M ,GRANT B ,WITHERS P J ,et al. Thermal relaxation of residual stresses in nickel-based superalloy inertia friction welds[J]. Metallurgical and Materials Transactions A,2011,42(8):2301-2311.
|
[24] |
林兆荣,熊志卿. TA2、TC1、TC4钛板高温短时应力松弛的研究[J]. 稀有金属材料与工程,1983,12(6):1-7.
LIN Z R ,XIONG Z Q. Study on short-term stress relaxation of TA2,TC1 and TC4 titanium plates at high temperature[J]. Rare Metal Materials and Engineering,1983,12(6):1-7.
|
[25] |
LIU P ,ZONG Y Y ,SHAN D B ,et al. Relationship between constant-load creep,decreasing-load creep and stress relaxation of titanium alloy[J]. Materials Science and Engineering:A,2015,638:106-113.
|
[26] |
ZENER C ,HOLLOMON J H. Effect of strain rate upon plastic flow of steel[J]. Journal of Applied Physics,1944,15(1):22-32.
|
[27] |
COBLE R L. A model for boundary diffusion controlled creep in polycrystalline materials[J]. 1963,34(6):1679-1682.
|
[28] |
RUANO O A ,SHERBY O D. On constitutive equations for various diffusion-controlled creep mechanisms[J]. Revue de Physique Appliquée,1988,23(4):625-637.
|
[29] |
SOMEKAWA H ,HIRAI K ,WATANABE H ,et al. Dislocation creep behavior in Mg-Al-Zn alloys[J]. Materials Science and Engineering:A,2005,407(1/2):53-61.
|
[30] |
SINHA N K. Power-law breakdown:An examination using strain relaxation and recovery tests on a nickel-base superalloy,IN-738LC[J]. Journal of Materials Science Letters,2002,21(17):1389.
|
[31] |
刘勇,朱景川,尹钟大. 魏氏组织Ti-6Al-4V合金应力松弛行为及机理[J]. 稀有金属材料与工程,2005,34(11):1766-1769.
LIU Y ,ZHU J C ,YIN Z D. Stress relaxation behavior and related mechanism of Ti-6Al-4V alloy with widmanstatten microstructure[J]. Rare Metal Materials and Engineering,2005,34(11):1766-1769.
|
[32] |
CHRISTOPHER J ,CHOUDHARY B K. Constitutive modelling of stress-relaxation behaviour of tempered martensitic P91 steel using sine hyperbolic rate law[J]. Materials Chemistry and Physics,2018,205:442-451.
|
[33] |
ENNIS P J ,ZIELINSKA-LIPIEC A ,WACHTER O ,et al. Microstructural stability and creep rupture strength of the martensitic steel P92 for advanced power plant[J]. Acta Materialia,1997,45(12):4901-4907.
|
[34] |
MISHRA R S ,BIELER T R ,MUKHERJEE A K. Superplasticity in powder metallurgy aluminum alloys and composites[J]. Acta Metallurgica et Materialia,1995,43(3):877-891.
|
[35] |
GUGULOTH K ,ROY N. Study on the creep deformation behavior and characterization of 9Cr-1Mo-V-Nb steel at elevated temperatures[J]. Materials Characterization,2018,146:279-298.
|
[36] |
ZHENG W J ,ZHU J J ,YUAN W H. Tempering stress relaxation behavior and microstructure evolution of 300M steel[J]. Materials Characterization,2023,197:112688.
|
[37] |
李小琳,刘林锡,李雅婷,等. 单一MX型析出相强化马氏体耐热钢力学性能及蠕变行为[J]. 金属学报,2022,58(9):1199-1207.
LI X L ,LIU L X ,LI Y T ,et al. Mechanical properties and creep behavior of MX-type precipitates strengthened heat resistant martensite steel[J]. Acta Metallurgica Sinica,2022,58(9):1199-1207.
|