A new model to predict crack growth rate in pipeline steel

doi:10.7623/syxb201906010

Acta Petrolei Sinica ›› 2019, Vol. 40 ›› Issue (6): 740-747.DOI: 10.7623/syxb201906010

• Petroleum Engineering • Previous Articles Next Articles

A new model to predict crack growth rate in pipeline steel

Xing Xiao, Cui Gan, Yang Ziqing, Li Zili

College of Pipeline and Civil Engineering, China University of Petroleum, Shandong Qingdao 266580, China

Received:2018-08-08 Revised:2019-03-20 Online:2019-06-25 Published:2019-07-02

管线钢的裂纹生长预测新模型

邢潇, 崔淦, 杨紫晴, 李自力

中国石油大学(华东)储运与建筑工程学院山东青岛 266580

通讯作者: 邢潇,男,1987年10月生,2010获中国石油大学(华东)学士学位,2016年获加拿大阿尔伯塔大学博士学位,现为中国石油大学(华东)储运与建筑工程学院博士后,主要从事管线钢完整性以及寿命预测,分子动力学对于管线钢中微观断裂机理等方面的研究。Email:xiaoxingupc@outlook.com
作者简介:邢潇,男,1987年10月生,2010获中国石油大学(华东)学士学位,2016年获加拿大阿尔伯塔大学博士学位,现为中国石油大学(华东)储运与建筑工程学院博士后,主要从事管线钢完整性以及寿命预测,分子动力学对于管线钢中微观断裂机理等方面的研究。Email:xiaoxingupc@outlook.com
基金资助:
山东省博士基金（ZR2019BEE006），中国博士后基金（2017M622316），青岛市博士后基金应用项目（BY20170214），中国石油大学（华东）自主创新项目（18CX02175A）资助。

Abstract

Abstract:

Hydrogen embrittlement is one of the most serious failure mechanisms affecting the life of pipeline steel. The traditional crack growth prediction model does not consider the influences from environmental factors such as pH and temperature, and only those from the loading cycle with large stress on crack growth, ignoring the effect from minor cycles of loading. Based on the two mainstream theories of hydrogen promoted dissociation (HEDE)and hydrogen enhanced local plasticity (HELP), a new crack growth prediction model is created using the kinetic model of hydrogen diffusion, which is applied to the prediction of crack growth and the quantification of the effects from minor cycles of loading on crack growth. The results show that the crack growth model comprehensively considers the effects from hydrogen potential energy, diffusion coefficient, hydrostatic stress near the crack tip and critical loading frequency on the crack growth rate of pipeline steel. The predicted values are consistent with the experimental values. The model can be used to divide the micro-crack into three states:inert, active and rapid growth, which is convenient for pipeline maintenance and safety evaluation. The model introduces environmental factors into pipeline steel life prediction, enhances the universality and accuracy of prediction, and quantifies the effects from minor cycles of loading commonly occurring in oil and gas transport on the crack growth rate of the pipe.

Key words: hydrogen embrittlement, hydrogen diffusion, brittle fracture, pipeline integrity, hydrogen enhanced decohesion

摘要：

氢脆是影响管线钢寿命最严重的破坏机理之一。传统的裂纹生长预测模型没有考虑pH值和温度等环境因素的影响，且只能考虑应力强度较大的加载循环对裂纹生长的影响，忽视了小周期加载的作用。笔者基于氢促进解离（HEDE）和氢增强局部塑性（HELP）两种主流理论，采用氢扩散的动力学模型，建立了一种新的裂纹生长预测模型，并将该模型应用于裂纹生长的预测及小周期对裂纹生长的影响的量化。研究结果表明，建立的裂纹生长模型综合考虑了氢势能、扩散系数、裂纹尖端附近的静水应力和临界加载频率等因素对管线钢裂纹扩展速率的影响，预测值与实验值吻合。利用模型可以将微观裂纹分为惰性、激活、快速增长3个状态，便于管道维护和安全评测；模型将环境因素引入管线钢寿命预测，增强了预测的普适性和准确性；并量化了油气输送中普遍存在的小周期加载对管道裂纹扩展速率的影响。

关键词: 氢脆, 氢扩散, 脆性断裂, 管道完整性, 氢制解离

CLC Number:

TE34

Xing Xiao, Cui Gan, Yang Ziqing, Li Zili. A new model to predict crack growth rate in pipeline steel[J]. Acta Petrolei Sinica, 2019, 40(6): 740-747.

邢潇, 崔淦, 杨紫晴, 李自力. 管线钢的裂纹生长预测新模型[J]. 石油学报, 2019, 40(6): 740-747.

References

[1] LYNCH S P.Hydrogen embrittlement and liquid-metal embrittlement in nickel single crystals[J].Scripta Metallurgica,1979,13(11):1051-1056.
[2] ORIANI R A,JOSEPHIC P H.Equilimrium aspects of hydrogen-induced cracking of steels[J].Acta Metallurgica,1974,22(9):1065-1074.
[3] 封辉,池强,吉玲康,等.管线钢氢脆研究现状及进展[J].腐蚀科学与防护技术,2017,29(3):318-322.
FENG Hui,CHI Qiang,JI Lingkang,et al.Research and development of hydrogen embrittlement of pipeline steel[J].Corrosion Science and Protetion Technology,2017,29(3):318-322.
[4] ROBERTSON I M,SOFRONIS P,NAGAO A,et al.Hydrogen embrittlement understood[J].Metallurgical and Materials Transactions B,2015,46(3):1085-1103.
[5] ROBERTSON I M,BIRNBAUM H K,SOFRONIS P.Hydrogen effects on plasticity[J].Dislocations in Solids,2009,15:249-293.
[6] 赵晓丽,张永健,邵成伟,等.两相区退火处理冷轧0.1C-5Mn中锰钢的氢脆敏感性[J].金属学报,2018,54(7):1031-1041.
ZHAO Xiaoli,ZHANG Yongjian,SHAO Chengwei,et al.Hydrogen embrittlement of intercritically annealed cold-rolled 0.1C-5Mn steel[J].Acta Metallurgica Sinica,2018,54(7):1031-1041.
[7] HAYWARD E,FU Chuchun.Interplay between hydrogen and vacancies in α-Fe[J].Physical Review B,2013,87(17):174103.
[8] XING Xiao,CHEN Weixing,ZHANG Hao.Atomistic study of hydrogen embrittlement during cyclic loading:quantitative model of hydrogen accumulation effects[J].International Journal of Hydrogen Energy,2017,42(7):4571-4578.
[9] 胡茹萌,杜敏.海水中阴极极化对X80钢应力腐蚀及氢脆敏感性的影响[J].装备环境工程,2018,15(3):1-8.
HU Rumeng,DU Min.Effects of Cathodic polarization on stress corrosion cracking and hydrogen embrittlement of X80 steel in seawater[J].Equipment Environmental Engineering,2018,15(30):1-8.
[10] 张智,刘志伟,谢玉洪,等.井筒载荷-腐蚀耦合作用对碳钢套管服役寿命的影响[J].石油学报,2017,38(3):342-347.
ZHANG Zhi,LIU Zhiwei,XIE Yuhong,et al.Influence of shaft load-corrosion coupling on the service life of carbon steel casing pipe[J].Acta Petrolei Sinica,2017,38(3):342-347.
[11] 董亮,姜子涛,杜艳霞,等.地铁杂散电流对管道牺牲阳极的影响及防护[J].石油学报,2016,37(1):117-124.
DONG Liang,JIANG Zitao,DU Yanxia,et al.Influence and protection of metro stray current on pipeline sacrificial anode[J].Acta Petrolei Sinica,2016,37(1):117-124.
[12] CHEN Weixing,SUTHERBY R L.Crack growth behavior of pipeline steel in near-neutral pH soil environments[J].Metallurgical and Materials Transactions A,2007,38(6):1260-1268.
[13] YU M,CHEN W,KANIA R,et al.Underload-induced crack growth behaviour of minor cycles of pipeline steel in near-neutral pH environment[J].Fatigue & Fracture of Engineering Materials & Structures,2015,38(6):681-692.
[14] SONG Jun,CURTIN W A.A nanoscale mechanism of hydrogen embrittlement in metals[J].Acta Materialia,2011,59(4):1557-1569.
[15] 张鹏,彭杨.考虑随机变量相关性的腐蚀管道失效概率[J].石油学报,2016,37(10):1293-1301.
ZHANG Peng,PENG Yang.Failure probability of corroded pipeline considering random variables correlation[J].Acta Petrolei Sinica,2016,37(10):1293-1301.
[16] CHEN W,KANIA R,WORTHINGHAM R,et al.Transgranular crack growth in the pipeline steels exposed to near-neutral pH soil aqueous solutions:the role of hydrogen[J].Acta Materialia,2009,57(20):6200-6214.
[17] YU Mengshan,XING Xiao,ZHANG Hao,et al.Corrosion fatigue crack growth behavior of pipeline steel under underload-type variable amplitude loading schemes[J].Acta Materialia,2015,96:159-169.
[18] THOMAS J P,WEI R P.Corrosion fatigue crack growth of steels in aqueous solutions I:experimental results and modeling the effects of frequency and temperature[J].Materials Science and Engineering:A,1992,159(2):205-221.
[19] TAKETOMI S,MATSUMOTO R,MIYAZAKI N.Atomistic study of hydrogen distribution and diffusion around a {112}<111> edge dislocation in alpha iron[J].Acta Materialia,2008,56(15):3761-3769.
[20] MATSUMOTO R,TAKETOMI S,MATSUMOTO S,et al.Atomistic simulations of hydrogen embrittlement[J].International Journal of Hydrogen Energy,2009,34(23):9576-9584.
[21] SONG Jun,CURTIN W A.Atomic mechanism and prediction of hydrogen embrittlement in iron[J].Nature Materials,2013,12(2):145-151.
[22] DMYTRAKH I M,SMIYAN O D,SYROTYUK,et al.Relationship between fatigue crack growth behaviour and local hydrogen concentration near crack tip in pipeline steel[J].International Journal of Fatigue,2013,50:26-32.
[23] WANG Shuai,MARTIN M L,SOFRONIS P,et al.Hydrogen-induced intergranular failure of iron[J].Acta Materialia,2014,69:275-282.
[24] DOSHIDA T,NAKAMURA M,SAITO H,et al.Hydrogen-enhanced lattice defect formation and hydrogen embrittlement of cyclically prestressed tempered martensitic steel[J].Acta Materialia,2013,61(20):7755-7766.
[25] DEVER D J.Temperature dependence of the elastic constants in α-iron single crystals:relationship to spin order and diffusion anomalies[J].Journal of Applied Physics,1972,43(8):3293-3301.
[26] ANDERSON T L.Fracture mechanics-fundermentals and applications[M].Boca Raton:CRC Press,2005.
[27] SONG J,CURTIN W A.Mechanisms of hydrogen-enhanced localized plasticity:an atomistic study using α-Fe as a model system[J].Acta Materialia,2014,68:61-69.
[28] XING X,CHEN W,ZHANG H.Prediction of crack propagation under cyclic loading based on hydrogen diffusion[J].Materials Letters,2015,152:86-89.
[29] HAFTBARADARAN H,SONG Jun,CURTIN W A,et al.Continuum and atomistic models of strongly coupled diffusion,stress,and solute concentration[J].Journal of Power Sources,2011,196(10):361-370.
[30] HÖRNLUND E,FOSSEN J K T,HAUGER S,et al.Hydrogen diffusivities and concentrations in 520M carbon steel under cathodic protection in 0.5M NaCl and the effect of added sulphite,dithionite,thiosulphate,and sulphide[J].International Journal of Electrochemical Science,2007,2:82-92.
[31] LIU Xiaoyang,XIE Wenbo,CHEN Weixing,et al.Effects of grain boundary and boundary inclination on hydrogen diffusion in α-iron[J].Journal of Materials Research,2011,26(21):2735-2743.
[32] MARVASTI M H,CHEN Weixing,KANIA R,et al.Frequency dependence of fatigue and corrosion fatigue crack growth rate[C]//Proceedings of 20108th International Pipeline Conference.Calgary,Alberta,Canada:ASME,2010.
[33] 张新生,李亚云王小完.基于逆高斯过程的腐蚀油气管道维修策略[J].石油学报,2017,38(3):356-362.
ZHANG Xinsheng,LI Yayun,WANG Xiaowan.Maintenance strategy of corroded oil-gas pipeline based on inverse Gaussian process[J].Acta Petrolei Sinica,2017,38(3):356-362.
[34] XING Xiao,YU Menghsan,CHEN Weixing,et al.Atomistic simulation of hydrogen-assisted ductile-to-brittle transition in α-iron[J].Computational Materials Science,2017,127:211-221.
[35] BEEN J,EADIE R,SUTHERBY R.Prediction of environmentally assisted cracking on gas and liquid pipelines[C]//Proceedings of 2006 International Pipeline Conference.Calgary,Alberta,Canada:ASME,2006.
[36] LYNCH S P.Interpreting hydrogen-induced fracture surfaces in terms of deformation processes:a new approach[J].Scripta Materialia,2011,65(10):851-854.
[37] MURAKAMI Y,KANEZAKI T,MINE Y.Hydrogen effect against hydrogen embrittlement[J].Metallurgical and Materials Transactions A,2010,41(10):2548-2562.

A new model to predict crack growth rate in pipeline steel

管线钢的裂纹生长预测新模型

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