非等厚度四点弯曲试样环向应力理论研究

doi:10.11885/j.issn.1674-5086.2018.08.30.03

西南石油大学学报(自然科学版) ›› 2020, Vol. 42 ›› Issue (1): 161-169.DOI: 10.11885/j.issn.1674-5086.2018.08.30.03

非等厚度四点弯曲试样环向应力理论研究

练章华¹, 张琎¹, 王裕海², 张强¹, 刘永刚³

1. 油气藏地质及开发工程国家重点实验室·西南石油大学, 四川成都 610500;
2. 中国石油塔里木油田分公司, 新疆库尔勒 841000;
3. 中国石油天然气集团公司管材研究所, 陕西西安 710077

收稿日期:2018-08-30 出版日期:2020-02-10 发布日期:2020-02-10
通讯作者: 练章华,E-mail:cwctlzh@swpu.edu.cn
作者简介:练章华,1964年生,男,汉族,四川自贡人,教授,博士生导师,主要从事CAD/CAE/CFD、套管损坏机理、管柱力学及射孔完井等教学与科研。E-mail:cwctlzh@swpu.edu.cn;张琎,1993年生,男,汉族,四川南充人,硕士研究生,主要从事油气井工程力学方面的研究。E-mail:ezhangjin@163.com;王裕海,1985年生,男,汉族,重庆垫江人,工程师,主要从事井控装备及技术管理工作。E-mail:wyhtlm@petroChina.com.cn;张强,1991年生,男,汉族,四川江油人,博士研究生,主要从事油气井管柱力学方面的研究。E-mail:ZhangQiang_A301@163.com;刘永刚,1974年生,男,汉族,四川眉山人,高级工程师,博士,主要从事失效分析和管柱力学研究。E-mail:liuyg321@sohu.com
基金资助:
国家自然科学基金（51574198）

Theoretical Research on Circumferential Stress of Four-point Bending Specimen of Unequal Thickness

LIAN Zhanghua¹, ZHANG Jin¹, WANG Yuhai², ZHANG Qiang¹, LIU Yonggang³

1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan 610500, China;
2. Tarim Oilfield Company, PetroChina, Korla, Xinjiang 841000, China;
3. Tubular Goods Research Institute, China National Petroleum Corporation, Xi′an, Shaanxi 710077, China

Received:2018-08-30 Online:2020-02-10 Published:2020-02-10

摘要/Abstract

摘要： 针对四点弯曲试样标准为等厚度直梁试样，不能真实模拟管件曲梁结构的真实工况，设计了一种外壁为完整的一段圆弧，内壁为一直线段和两段对称圆弧构成的非标准、非等厚度的四点弯曲试样。根据非等厚度的四点弯曲试样结构及其力学模型，推导出了其外壁任意一点环向拉应力与试样加载载荷之间的理论计算公式，建立了该四点弯曲试样的有限元力学计算模型。计算结果表明，文中推导出的理论公式计算出的最大环向应力与有限元法的计算结果误差的绝对值为0.06%~0.33%，几乎没有误差，充分证明了理论公式的准确性，该理论公式为非等厚度四点弯曲的应力腐蚀开裂试验加载参数提供了简便的计算方法。

关键词: 非等厚度, 四点弯曲试样, 理论公式推导, 有限元, 应力腐蚀开裂

Abstract: Straight beam specimens of equal thickness, which are standard four-point bending specimens, cannot be used to simulate the real working condition of the curved-beam structure of pipes. Therefore, a non-standard four-point bending specimen of unequal thickness was designed, which has a complete arc as the outer wall and a straight-line segment combined with two symmetrical arcs as the inner wall. Based on the structure and mechanical model of a four-point bending specimen with unequal thickness, a theoretical formula to calculate the circumferential tensile stress at any arbitrary point on the specimen's outer wall from the load of the specimen was derived. Further, a finite element mechanics calculation model for this four-point bending specimen was established. The results show that the absolute error of the maximum circumferential stress calculated by the theoretical formula derived in the paper was 0.06%~0.33% compared to the result by the finite element method. This indicates that there is almost no error, which fully proves the accuracy of the theoretical formula. The theoretical formula provides a simple method for calculating load parameters of stress-corrosion cracking experiments with the four-point bending specimen of unequal thickness.

Key words: unequal thickness, four-point bending specimen, theoretical formula derivation, finite element, stress corrosion cracking

中图分类号:

TE98

练章华, 张琎, 王裕海, 张强, 刘永刚. 非等厚度四点弯曲试样环向应力理论研究[J]. 西南石油大学学报(自然科学版), 2020, 42(1): 161-169.

LIAN Zhanghua, ZHANG Jin, WANG Yuhai, ZHANG Qiang, LIU Yonggang. Theoretical Research on Circumferential Stress of Four-point Bending Specimen of Unequal Thickness[J]. 西南石油大学学报(自然科学版), 2020, 42(1): 161-169.

0
/ / 推荐

导出引用管理器 EndNote|Ris|BibTeX

链接本文: http://journal15.magtechjournal.com/Jwk_xnzk/CN/10.11885/j.issn.1674-5086.2018.08.30.03

http://journal15.magtechjournal.com/Jwk_xnzk/CN/Y2020/V42/I1/161

参考文献

[1] 杨鹏博. 天然气管道输送与管理[J]. 化学工程与装备,2018(4):66-67. doi:10.19566/j.cnki.cn35-1285/tq.2018.04.025 YANG Pengbo. Natural gas pipeline transportation and management[J]. Chemical Engineering & Equipment, 2018(4):66-67. doi:10.19566/j.cnki.cn35-1285/tq.2018.04.025
[2] 黄国建,徐烽,郭惠久,等. 鞍钢X60管线钢热轧卷板的研制与应用[J]. 鞍钢技术,2004(5):17-20,25. doi:10.3969/j.issn.1006-4613.2004.05.005 HUANG Guojian, XU Feng, GUO Huijiu, et al. Study on X60 pipeline steel hot rolled coiled sheet and its application in Angang[J]. Angang Technology, 2004(5):17-20, 25. doi:10.3969/j.issn.1006-4613.2004.05.005
[3] ZVIRKO O I, SAVULA S F, TSEPENDA V M, et al. Stress corrosion cracking of gas pipeline steels of different strength[J]. Procedia Structural Integrity, 2016, 2:509-516. doi:10.1016/j.prostr.2016.06.066
[4] 蒲前梅,王志华. 原油长输管道安全防护技术浅析[J]. 油气田地面工程,2009,28(11):63-65. doi:10.3969/j.issn.1006-6896.2009.11.037 PU Qianmei, WANG Zhihua. Simple analysis of safeguard technology in long distance oil transportation pipeline[J]. Oil-Gasfield Surface Engineering, 2009, 28(11):63-65. doi:10.3969/j.issn.1006-6896.2009.11.037
[5] 吕祥鸿,赵国仙,张建兵,等. 用于集输管线的0.5 Cr钢在模拟塔里木油田环境中的H₂S/CO₂腐蚀行为研究[J]. 石油学报,2009,30(5):782-787. doi:10.3321/j.issn:0253-2697.2009.05.028 LÜ Xianghong, ZHAO Guoxian, ZHANG Jianbing, et al. Experimental study on corrosion behaviors of H₂S and CO₂ to 0.5 Cr steel used in gathering pipeline at simulated environment of Tarim Oilfield[J]. Acta Petrolei Sinica, 2009, 30(5):782-787. doi:10.3321/j.issn:0253-2697.2009.05.028
[6] XU Shugen, HUANG Shengjun, GUO Deguo, et al. Failure analysis of a carbon steel pipeline exposed to wet hydrogen sulfide environment[J]. Engineering Failure Analysis, 2017, 71:1-10. doi:10.1016/j.engfailanal.2016.11.001
[7] MERESHT E S, FARAHANI T S, NESHATI J. Failure analysis of stress corrosion cracking occurred in a gas transmission steel pipeline[J]. Engineering Failure Analysis, 2011, 18(3):963-970. doi:10.1016/j.engfailanal.2010.11.014
[8] 高立新,谷坛,闫静,等. 高酸性条件下元素硫对碳钢腐蚀的影响[J]. 天然气工业,2015,35(4):94-98. doi:10.3787/j.issn.1000-0976.2015.04.015 GAO Lixin, GU Tan, YAN Jing, et al. Corrosion of sulfur to carbon steel under the condition of high acidity[J]. Natural Gas Industry, 2015, 35(4):94-98. doi:10.3787/j.issn.1000-0976.2015.04.015
[9] 雷晓曾,张阳. 天然气长输管道运行管理中易发问题及综合治理浅析[J]. 内蒙古石油化工,2015,41(15):90-93. doi:10.3969/j.issn.1006-7981.2015.15.035 LEI Xiaozeng, ZHANG Yang. Common problems in the operation and management of long-distance natural gas transmission pipelines and comprehensive control analysis[J]. Inner Mongolia Petrochemical Industry, 2015, 41(15):90-93. doi:10.3969/j.issn.1006-7981.2015.15.035
[10] 王一龙,杨平希. 在役油气管道应力腐蚀开裂及其防护措施[J]. 山东化工,2019,48(5):116-117,121. doi:10.3969/j.issn.1008-021X.2019.05.043 WANG Yilong, YANG Pingxi. Stress corrosion cracking and the corresponding protective measures in natural oil and gas pipeline[J]. Shandong Chemical Industry, 2019, 48(5):116-117, 121. doi:10.3969/j.issn.1008-021X.2019.05.043
[11] 吕祥鸿,赵国仙,王宇,等. 超级13Cr马氏体不锈钢抗SSC性能研究[J]. 材料工程,2011(2):17-21,25. doi:10.3969/j.issn.1001-4381.2011.02.004 LÜ Xianghong, ZHAO Guoxian, WANG Yu, et al. SSC resistance of super 13Cr martensitic stainless steel[J]. Journal of Materials Engineering, 2011(2):17-21, 25. doi:10.3969/j.issn.1001-4381.2011.02.004
[12] 张锁龙,尤一匡,黄志荣,等. 低碳钢含裂纹管道四点弯曲作用下弹塑性裂纹扩展的试验研究[J]. 压力容器,1999(2):12-16. ZHANG Suolong, YOU Yikuang, HUANG Zhirong, et al. Experimental study on carbon-steel pipe containing a circumferential through-wall crack under four points bending[J]. Pressure Vessel Technology, 1999(2):12-16.
[13] 鲜宁,姜放,赵华莱,等. H₂S/CO₂环境下析出相对28合金耐SCC性能的影响[J]. 天然气工业,2010,30(4):111-115. doi:10.3787/j.issn.1000-0976.2010.04.027 XIAN Ning, JIANG Fang, ZHAO Hualai, et al. Effect of precipitates on SCC resistance of the Ni-based alloy 28 in H₂S and CO₂ service conditions[J]. Natural Gas Industry, 2010, 30(4):111-115. doi:10.3787/j.issn.1000-0976.2010.04.027
[14] NORDMANN J, THIEM P, CINCA N, et al. Analysis of iron aluminide coated beams under creep conditions in high-temperature-four-point-bending tests[J]. The Journal of Strain Analysis for Engineering Design, 2018, 53(4):255-265. doi:10.1177/0309324718761305
[15] 张慧芳,肖振兴,肖少彬,等. 奥氏体钢四点弯曲疲劳行为的数值模拟与试验[J]. 钢铁,2017,52(4):61-66. doi:10.13228/j.boyuan.issn0449-749x.20160351 ZHANG Huifang, XIAO Zhenxing, XIAO Shaobin, et al. Numerical simulation and experimental on four-point bending fatigue behavior of austenite steel[J]. Iron & Steel, 2017, 52(4):61-66. doi:10.13228/j.boyuan.issn0449-749x.20160351
[16] 孙宝瑞,马伟,杨秀光. 海洋管道四点弯曲疲劳试验机夹具设计和有限元分析[J]. 工程与试验,2017,57(2):67-72. doi:10.3969/j.issn.1674-3407.2017.02.019 SUN Baorui, MA Wei, YANG Xiuguang. Fixture design and finite element analysis of submarine pipeline four-point bending fatigue testing machine[J]. Engineering & Test, 2017, 57(2):67-72. doi:10.3969/j.issn.1674-3407.2017.02.019
[17] 刘裕,刘小妹,胡磊,等. 四点弯曲U形切口应力集中系数的数值分析[J]. 上海工程技术大学学报,2014,28(2):141-144. doi:10.3969/j.issn.1009-444X.2014.02.011 LIU Yu, LIU Xiaomei, HU Lei, et al. Numerical analysis of stress concentration factors for u-shaped notch with four-point bending[J]. Journal of Shanghai University of Engineering Science, 2014, 28(2):141-144. doi:10.3969/j.issn.1009-444X.2014.02.011
[18] DONG Xiaolong, ZHAO Hongwei, ZHANG Lin, et al. Geometry effects in four-point bending test for thin sheet studied by finite element simulation[J]. Materials Transactions, 2016, 57(3):335-343. doi:10.2320/matertrans.M2015178
[19] ARUN S, SHERRY A H, SMITH M C, et al. Simulations of the large-scale four point bending test using Rousse、-lier model[J]. Engineering Fracture Mechanics, 2017, 178:497-511. doi:10.1016/j.engfracmech.2017.02.015
[20] AURÉ LIEN D, LEGUILLON D. 3D application of the coupled criterion to crack initiation prediction in epoxy/aluminum specimens under four point bending[J]. International Journal of Solids & Structures, 2018, 143:175-182. doi:10.1016/j.ijsolstr.2018.03.005
[21] 鲜宁,姜放,荣明,等. 四点弯曲加载下带焊缝试样表面的最大拉应力公式推导与分析[J]. 理化检验(物理分册),2010,46(7):415-418. XIAN Ning, JIANG Fang, RONG Ming, et al. Deducing and analyzing for maximum tensile stress formula of weld specimen loaded by four-point-bending[J]. Physical Testing and Chemical Analysis (Part A:Physical Testing), 2010, 46(7):415-418.
[22] 全国钢标准化技术委员会. 金属在硫化氢环境中抗硫化物应力开裂和应力腐蚀开裂的实验室试验方法:GB T4157-2017[S]. 北京:中国标准出版社,2017.
[23] 刘鸿文. 材料力学II[M]. 5版. 北京:高等教育出版社,2011. LIU Hongwen. Strength of materials II[M]. 5^th Edition. Beijing:Higher Education Press, 2011.

非等厚度四点弯曲试样环向应力理论研究

Theoretical Research on Circumferential Stress of Four-point Bending Specimen of Unequal Thickness

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	张博宁, 张芮菡, 吴婷婷, 鲁友常. 致密气藏多级压裂水平井生产动态机理分析[J]. 西南石油大学学报(自然科学版), 2020, 42(5): 107-117.
[2]	林铁军, 李朝阳, 王雪刚, 邓元洲, 宋琳. 三维复杂井眼上提冲放套管屈曲摩阻模拟研究[J]. 西南石油大学学报(自然科学版), 2020, 42(4): 165-172.
[3]	练章华, 梁建坤, 王裕海, 张强, 牟易升. C型环环向应力与加载载荷的公式推导与验证[J]. 西南石油大学学报(自然科学版), 2019, 41(5): 161-168.
[4]	张文建, 祝宗祥, 肖鹏, 陈玉忠, 董帅. 外加电位对X80钢在满洲里土壤应力腐蚀的影响[J]. 西南石油大学学报(自然科学版), 2019, 41(5): 181-188.
[5]	薛仁江, 郭建春, 赵志红, 周广清, 孟宪波. 济阳拗陷页岩储层水平井裂缝扩展数值模拟[J]. 西南石油大学学报(自然科学版), 2019, 41(2): 84-96.
[6]	龚迪光, 陈军斌, 曲占庆, 郭天魁. 径向井排引导水力压裂裂缝扩展机理研究[J]. 西南石油大学学报(自然科学版), 2018, 40(5): 122-130.
[7]	刘清友, 何俊江, 毛良杰. 深水钻井隔水管法兰接头压溃安全分析研究[J]. 西南石油大学学报(自然科学版), 2018, 40(5): 163-169.
[8]	练章华, 罗泽利, 于浩, 刘洋, 何勇. 具有腐蚀坑缺陷的套管强度评估[J]. 西南石油大学学报(自然科学版), 2018, 40(2): 159-168.
[9]	陈森, 林伯韬, 金衍, 张磊, 黄勇. SAGD井微压裂储层渗透率变化规律研究[J]. 西南石油大学学报(自然科学版), 2018, 40(1): 141-148.
[10]	尹帅, 丁文龙, 高敏东, 周广照. 樊庄北部3号煤层现今应力场分布数值模拟[J]. 西南石油大学学报(自然科学版), 2017, 39(4): 81-89.
[11]	邓嵘, 安美, 唐东. 复合钻头钻进过程的有限元模拟[J]. 西南石油大学学报(自然科学版), 2017, 39(2): 145-152.
[12]	唐明明, 张金亮. 基于随机扩展方法的致密油储层裂缝建模研究[J]. 西南石油大学学报(自然科学版), 2017, 39(1): 63-72.
[13]	方潘, 侯勇俊, 龙小康. 考虑刚柔耦合的振动筛动力学研究[J]. 西南石油大学学报(自然科学版), 2016, 38(5): 165-172.
[14]	张烈辉1 *，张芮菡1，蒋和煦2，孔玲2，佘娟2. 低渗透复合油藏压力动态有限元理论分析[J]. 西南石油大学学报(自然科学版), 2016, 38(4): 1-8.
[15]	练章华1 *，于浩1，刘永辉2，林铁军1，张强1. 大斜度井中套管磨损机理研究[J]. 西南石油大学学报(自然科学版), 2016, 38(2): 176-182.