Article(id=1284794307114676987, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, articleNumber=null, orderNo=null, doi=10.19912/j.0254-0096.tynxb.2025-0131, pmid=null, cstr=null, oa=null, hot=0, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1737302400000, receivedDateStr=2025-01-20, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1784248433139, onlineDateStr=2026-07-17, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1784248433139, onlineIssueDateStr=2026-07-17, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1784248433139, creator=13701087609, updateTime=1784248433139, updator=13701087609, issue=Issue{id=1284794217658560734, tenantId=1146029695717560320, journalId=1283840536528293913, year='2026', volume='47', issue='6', pageStart='1', pageEnd='814', issueExtLink='null', onlineDate='null', pubDate='1783180800000', pubDateStr='2026-07-05', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=1, specialIssue=null, createTime=1784248411812, creator='13701087609', updateTime=1784252840208, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1284812791785689442, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1284812791785689443, tenantId=1146029695717560320, journalId=1283840536528293913, issueId=1284794217658560734, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=594, endPage=600, ext={EN=ArticleExt(id=1284794307416666877, articleId=1284794307114676987, tenantId=1146029695717560320, journalId=1283840536528293913, language=EN, title=NUMERICAL SIMULATION OF HYDROGEN DISTRIBUTION AT CORROSION DEFECT OF X65 STEEL UNDER APPLIED LOAD, columnId=null, journalTitle=Acta Energiae Solaris Sinica, columnName=null, runingTitle=null, highlight=null, articleAbstract=This study establishes a three-dimensional stress-induced hydrogen diffusion model by using finite element analysis and simulates the plastic strain at the defects and its influence on the diffusion and aggregation behaviour of hydrogen atoms under large deformation conditions by using the nonlinear hardening function. The results show that the plastic strain significantly increases the local stress, the equivalent plastic strain, and the hydrogen concentration in the corrosion defect region. Plastic strain increases the overall von Mises stress in the specimen, while the significant increase in hydrostatic stress and equivalent plastic strain is mainly concentrated in the central region of the corrosion defect. In the absence of plastic strain, the diffusion of hydrogen atoms is mainly driven by the concentration gradient, and the flow direction is from the region of high concentration to the region of low concentration, which ultimately leads to a steady state of hydrogen atom concentration inside the specimen. However, when plastic strain exists, the diffusion behaviour of hydrogen atoms is driven by the hydrostatic stress gradient, which is manifested by the aggregation of hydrogen atoms towards the stress concentration region （i.e., at the corrosion defect）. In addition, narrow and deep corrosion defects are more likely to lead to local accumulation of hydrogen atoms, while the shape of the defect has relatively little effect on the distribution of hydrogen concentration., authors=Jin Shuhan¹, Liu Liang², Sun Dongxu¹, Liu Chengwei¹, Yu Yang¹, Xu Ming¹, authorsList=Jin Shuhan, Liu Liang, Sun Dongxu, Liu Chengwei, Yu Yang, Xu Ming, authorCompany=1. College of Petroleum and Natural Gas Engineering, Liaoning Petroleum and Chemical University, Fushun 113001, China;
2. CNOOC （Tianjin） Pipeline Engineering Technology Co., LTD., Binhai 300450, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1284794307336975100, articleId=1284794307114676987, tenantId=1146029695717560320, journalId=1283840536528293913, language=CN, title=外加载荷下X65钢腐蚀缺陷处氢分布的数值模拟, columnId=null, journalTitle=太阳能学报, columnName=null, runingTitle=null, highlight=null, articleAbstract=利用有限元方法,将固体力学模型和扩散模型相结合,构建应力诱导氢扩散模型,并研究不同塑性应变条件下含腐蚀缺陷的X65钢的应力、等效塑性应变及氢浓度分布。结果表明,塑性应变显著增加了缺陷区域的应力、等效塑性应变以及氢浓度。塑性应变会使试样整体的von Mises应力升高,而静水应力和等效塑性应变的显著升高则主要集中在腐蚀缺陷的中心区域。在无塑性应变时,氢原子的扩散主要受浓度梯度驱动,从高浓度向低浓度区域均匀扩散;而在施加应变后,氢原子则受到静水应力的驱动,向高应变区域聚集。此外,窄且深的缺陷更易导致氢原子的局部积聚,而缺陷的形状对氢浓度分布的影响相对较小。, authors=靳舒涵¹, 刘亮², 孙东旭¹, 刘成威¹, 于洋¹, 徐铭¹, authorsList=靳舒涵, 刘亮, 孙东旭, 刘成威, 于洋, 徐铭, authorCompany=1.辽宁石油化工大学石油天然气工程学院,抚顺 113001;
2.中海油（天津）管道工程技术有限公司,滨海 300450, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=DZYH3zIhkBSvHujEzKNGEQ==, pdfFileSize=1672119, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=国家自然科学基金青年基金项目（52404058）; 辽宁省博士科研启动基金（2023-BS-187）; 辽宁省教育厅基本科研项目（LJKMZ20220734）)}, authors=null, keywords=[Keyword(id=1284813621947515572, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=1, keyword=氢能), Keyword(id=1284813622018818741, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=2, keyword=氢脆), Keyword(id=1284813622085927606, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=3, keyword=塑性应变), Keyword(id=1284813622169813687, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=4, keyword=数值模拟), Keyword(id=1284813622257894072, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=5, keyword=X65管道钢), Keyword(id=1284813622325002937, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=6, keyword=腐蚀缺陷), Keyword(id=1284813622408889018, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=CN, orderNo=7, keyword=氢扩散), Keyword(id=1284813624178885307, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=1, keyword=hydrogen energy), Keyword(id=1284813624262771388, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=2, keyword=hydrogen embrittlement), Keyword(id=1284813624338268861, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=3, keyword=plastic strain), Keyword(id=1284813624401183422, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=4, keyword=numerical simulation), Keyword(id=1284813624485069503, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=5, keyword=X65 pipeline steel), Keyword(id=1284813624547984064, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=6, keyword=corrosion defects), Keyword(id=1284813624598315713, tenantId=1146029695717560320, journalId=1283840536528293913, articleId=1284794307114676987, language=EN, orderNo=7, keyword=hydrogen diffusion)], refs=null, funds=null, companyList=null, figs=null, attaches=null, journal=Journal(id=1283840120415588372, delFlag=0, nameCn=太阳能学报, nameEn=Acta Energiae Solaris Sinica, nameHistory1=null, nameHistory2=null, issn=0254-0096, eissn=null, cn=11-2082/TK, coden=null, periodic=0, language=CN, oaType=null, ccby=null, superviseOffice=null, ownerOffice=null, pubOffice=null, editorOffice=null, officeType=null, aims=null, clcCode=null, officeProv=null, officeCity=null, officeAddr=null, officeZip=null, officeEmail=null, officePhone=null, editDirector=null, officeDirector=null, officeDirectorPhone=null, officeStaffNum=null, officeEmpNum=null, coverPicUrl=Zs2ilQTekqeGHL8WIvXA2w==, journalPrice=null, startedYear=null, abbrevIsoEn=Acta Energiae Solaris Sinica, journalRemark=null, publicationField=null, createdTime=1784020937305, updatedTime=1788950459470, createdBy=18614031015, updatedBy=13041195026, firstLetterCn=T, firstLetterEn=T, subjectCode=Engineering, subjectName=null, subjectCodeEn=Engineering, subjectNameEn=null, picCn=Zs2ilQTekqeGHL8WIvXA2w==, picEn=zLimPXPa1qYx2Uzl1NlG8A==, jcr=null, cjcr=null, exts=[JournalExt(id=1304516035068055948, language=CN, name=太阳能学报, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=, createdTime=1788950459496, updatedTime=1788950459496, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=, submissionAuthorUrl=https://tynxbauthor.manuscriptcloud.com, submissionEditorUrl=https://tynxbeditor.manuscriptcloud.com, submissionReviewUrl=https://tynxbauthor.manuscriptcloud.com, submissionCeEditorUrl=, submissionAeEditorUrl=, option={"copyright":""}), JournalExt(id=1304516035118387597, language=EN, name=Acta Energiae Solaris Sinica, nameHistory1=null, nameHistory2=null, managedBy=, sponsoredBy=, publishedBy=, editorOffice=, officeProv=null, officeCity=null, officeAddr=, officeZip=, editDirector=, officeDirector=null, officePhone=null, coverPicUrl=null, journalRemark=, submitArticleUrl=null, websiteUrl=, createdTime=1788950459508, updatedTime=1788950459508, createdBy=13041195026, updatedBy=13041195026, submissionGuidelinesUrl=, submissionAuthorUrl=https://tynxbauthor.manuscriptcloud.com, submissionEditorUrl=https://tynxbeditor.manuscriptcloud.com, submissionReviewUrl=https://tynxbauthor.manuscriptcloud.com, submissionCeEditorUrl=, submissionAeEditorUrl=, option={"copyright":""})], databaseList=null, tenantJournalId=1283840536528293913, websiteList=[Website(id=1283840757282881936, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1283840536528293913, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/tynxb/CN, language=CN, createTime=1784021089145, createBy=18614031015, updateTime=1784023280225, updateBy=18614031015, name=太阳能学报-中文, tplId=1146099689490845704, title=太阳能学报, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1283850081891762767, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=articleTextType, value=kx, createTime=1784023312304, updateTime=1784023312304, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081858208332, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=banner, value=null, createTime=1784023312296, updateTime=1784023312296, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081921122898, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=grayFlag, value=0, createTime=1784023312311, updateTime=1784023312311, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081845625419, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=logo, value=https://castjournals.cast.org.cn/joweb/tynxb/CN/file/pic?fileId=GOfbvs6trl8nNCBc9NZ5kw==, createTime=1784023312293, updateTime=1784023312293, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081937900116, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=minRunFlag, value=0, createTime=1784023312315, updateTime=1784023312315, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081879179854, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/tynxb/CN/file/pic, createTime=1784023312301, updateTime=1784023312301, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081929511507, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=silenceFlag, value=0, createTime=1784023312313, updateTime=1784023312313, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081870791245, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_cn_619/, createTime=1784023312299, updateTime=1784023312299, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081904345680, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=themeColor, value=null, createTime=1784023312307, updateTime=1784023312307, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850081912734289, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757282881936, code=themeStyle, value=null, createTime=1784023312309, updateTime=1784023312309, creator=18614031015, updator=18614031015)]), Website(id=1283840757341602181, webName=null, webTitle=null, webDomain=null, webCopyrigh=null, webIpcNo=null, seoTitle=null, seoKeywords=null, seoDescription=null, tenantJournalId=null, journalId=1283840536528293913, journalNameCn=null, journalNameEn=null, grayFlag=null, tenantId=1146029695717560320, platformId=null, journalGroupId=null, journalGroupNameCn=null, journalGroupNameEn=null, type=1, domain=https://castjournals.cast.org.cn/joweb/tynxb/EN, language=EN, createTime=1784021089158, createBy=18614031015, updateTime=1784023275095, updateBy=18614031015, name=太阳能学报-英文, tplId=1146101810881728533, title=Acta Energiae Solaris Sinica, delFlag=0, indexPage=/home, props=[WebsiteProps(id=1283850047477498430, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=articleTextType, value=kx, createTime=1784023304099, updateTime=1784023304099, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047456526907, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=banner, value=null, createTime=1784023304094, updateTime=1784023304094, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047494275649, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=grayFlag, value=0, createTime=1784023304103, updateTime=1784023304103, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047448138298, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=logo, value=https://castjournals.cast.org.cn/joweb/tynxb/EN/file/pic?fileId=GOfbvs6trl8nNCBc9NZ5kw==, createTime=1784023304092, updateTime=1784023304092, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047506858563, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=minRunFlag, value=0, createTime=1784023304106, updateTime=1784023304106, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047469109821, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=picServerUrl, value=https://castjournals.cast.org.cn/joweb/tynxb/EN/file/pic, createTime=1784023304097, updateTime=1784023304097, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047498469954, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=silenceFlag, value=0, createTime=1784023304104, updateTime=1784023304104, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047464915516, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=staticResourcePath, value=https://castjournals.cast.org.cn/joweb/cast_kjdb_en_623/, createTime=1784023304096, updateTime=1784023304096, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047481692735, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=themeColor, value=null, createTime=1784023304100, updateTime=1784023304100, creator=18614031015, updator=18614031015), WebsiteProps(id=1283850047490081344, tenantId=1146029695717560320, journalId=null, journalGroupId=null, siteId=1283840757341602181, code=themeStyle, value=null, createTime=1784023304102, updateTime=1784023304102, creator=18614031015, updator=18614031015)])], journalTitle=太阳能学报, weixinUrl=null, journalUrl=https://www.tynxb.org.cn/, iacademicId=null, status=1, seqNo=null, journalTitleEn=Acta Energiae Solaris Sinica, journalPhotoCn=Zs2ilQTekqeGHL8WIvXA2w==, journalPhotoEn=zLimPXPa1qYx2Uzl1NlG8A==, journalFirstLetter=T, journalRecommend=null, journalNew=null, journalCollection=null, jcrJf=null, cjcrJf=null, jcrJfStr=null, cjcrJfStr=null, submissionFirstDecision=null, sciSubjectClassification=null, casSubjectClassification=null, citeScore=null, totalCitationFrequency=null, icpCode=null, psCode=null, advertisingLicenseCode=null, copyrightInformation=null, country=null, option=, provinceCode=null, provinceName=null, collectFlag=false, interPubPlatform=, interPubPlatformUrl=null), detailUrlCn=https://castjournals.cast.org.cn/joweb/tynxb/CN/10.19912/j.0254-0096.tynxb.2025-0131, detailUrlEn=https://castjournals.cast.org.cn/joweb/tynxb/EN/10.19912/j.0254-0096.tynxb.2025-0131, pdfUrlCn=https://castjournals.cast.org.cn/joweb/tynxb/CN/PDF/10.19912/j.0254-0096.tynxb.2025-0131, pdfUrlEn=https://castjournals.cast.org.cn/joweb/tynxb/EN/PDF/10.19912/j.0254-0096.tynxb.2025-0131, aliStartDate=null, aliEndDate=null, collectionFlag=false, citedCount=null, citedUrl=null, previewStatus=0, delFlag=0, hasFullText=0, orderTime=1783180800000, fullTextJson=null, articleText=null, reference=[1] 付强, 杨洸, 金辉, 等. 中国氢能产业链技术现状及发展趋势[J]. 油气与新能源, 2024, 36(4): 19-30.
FU Q, YANG G, JIN H, et al.Technical status and development trends of hydrogen energy industry chain technology in China[J]. Petroleum and new energy, 2024, 36(4): 19-30.
[2] 廖红波, 张雪霞, 岳嘉玲, 等. 氢气储运技术发展及展望[J]. 太阳能学报, 2024, 45(11): 691-699.
LIAO H B, ZHANG X X, YUE J L, et al.Development and prospect of hydrogen storage and transportation technology[J]. Acta energiae solaris sinica, 2024, 45(11): 691-699.
[3] LI J Q, WU Z Y, ZHU L J, et al.Investigations of temperature effects on hydrogen diffusion and hydrogen embrittlement of X80 pipeline steel under electrochemical hydrogen charging environment[J]. Corrosion science, 2023, 223: 111460.
[4] 程旺军, 崔栋栋, 孙耀宁, 等. 基于液氢储运的超低温不锈钢微观组织演变与力学性能研究进展[J]. 太阳能学报, 2024, 45(6): 117-124.
CHENG W J, CUI D D, SUN Y N, et al.Research progress of microstructure evolution and mechanical properties of ultra-low temperature stainless steel based on liquid hydrogen storage and transportation[J]. Acta energiae solaris sinica, 2024, 45(6): 117-124.
[5] KIM C M, KIM Y P, KIM W S.Influence of gaseous components and pressures on hydrogen embrittlement of natural gas pipeline[J]. Journal of mechanical science and technology, 2017, 31(8): 3691-3695.
[6] 圣业帆. 管线钢表面状态对其氢渗透性能影响研究[D]. 重庆: 重庆科技学院, 2023.
SHENG Y F.Study on the influence of surface state of pipeline steel on its hydrogen permeability[D]. Chongqing: Chongqing University of Science & Technology, 2023.
[7] DU Q, LIU Z D, YANG J, et al.Hydrogen permeation and hydrogen damage behavior of high strength casing steel in acidic environment[J]. International journal of electrochemical science, 2023, 18(7): 100136.
[8] CUI T C, LIU P F, GU C H.Finite element analysis of hydrogen diffusion/plasticity coupled behaviors of low-alloy ferritic steel at large strain[J]. International journal of hydrogen energy, 2017, 42(31): 20324-20335.
[9] POLETAEV G M, ZORYA I V, NOVOSELOVA D V, et al.Molecular dynamics simulation of hydrogen atom diffusion in crystal lattice of FCC metals[J]. International journal of materials research, 2017, 108(10): 785-790.
[10] SHELYAPINA M G, VYVODTCEVA A V, KLYUKIN K A, et al.Hydrogen diffusion in metal-hydrogen systems via NMR and DFT[J]. International journal of hydrogen energy, 2015, 40(47): 17038-17050.
[11] ZHANG J, CHENG Y F.Study by finite element modeling of hydrogen atom diffusion and distribution at a dent on existing pipelines for hydrogen transport[J]. Journal of cleaner production, 2023, 418: 138165.
[12] GUO S W, XU L Y, DONG S H, et al.Finite element modeling of hydrogen atom diffusion and distribution at corrosion defect on aged pipelines transporting hydrogen[J]. International journal of hydrogen energy, 2023, 48(36): 13566-13577.
[13] KUMNICK A J, JOHNSON H H.Deep trapping states for hydrogen in deformed iron[J]. Acta metallurgica, 1980, 28(1): 33-39.
[14] GORBAN A N, SARGSYAN H P, WAHAB H A.Quasichemical models of multicomponent nonlinear diffusion[J]. Mathematical modelling of natural phenomena, 2011, 6(5): 184-262.
[15] YANG F Q, ZHAN W J, YAN T, et al.Numerical analysis of the coupling between hydrogen diffusion and mechanical behavior near the crack tip of titanium[J]. Mathematical problems in engineering, 2020, 2020(1): 3618589.
[16] WIJMANS J G, BAKER R W.The solution-diffusion model: a review[J]. Journal of membrane science, 1995, 107(1/2): 1-21.
[17] KROM A H M, KOERS R W J, BAKKER A. Hydrogen transport near a blunting crack tip[J]. Journal of the mechanics and physics of solids, 1999, 47(4): 971-992.
[18] HIRTH J P.Effects of hydrogen on the properties of iron and steel[J]. Metallurgical transactions A, 1980, 11(6): 861-890.
[19] MCLELLAN A G.Non-hydrostatic thermodynamics of chemical systems[J]. Proceedings of the royal society of London a mathematical and physical sciences, 1970, 314(1518): 443-455.
[20] XU L Y, CHENG Y F.Corrosion of X100 pipeline steel under plastic strain in a neutral pH bicarbonate solution[J]. Corrosion science, 2012, 64: 145-152.)