Article(id=1242132370078380985, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1242132366970397423, articleNumber=null, orderNo=3, doi=10.3981/j.issn.1000-7857.2014.23.001, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1398528000000, receivedDateStr=2014-04-27, revisedDate=1405008000000, revisedDateStr=2014-07-11, acceptedDate=null, acceptedDateStr=null, onlineDate=1409021381593, onlineDateStr=2014-08-26, pubDate=1408291200000, pubDateStr=2014-08-18, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1409021381593, onlineIssueDateStr=2014-08-26, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774077034726, creator=sys-migrate, updateTime=1774077034726, updator=sys-migrate, issue=Issue{id=1242132366970397423, tenantId=1146029695717560320, journalId=1146031591421210625, year='2014', volume='32', issue='23', pageStart='1', pageEnd='95', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=3, issueType=-1, specialIssue=null, createTime=1774077033985, creator=sys-migrate, updateTime=1774077033985, updator=sys-migrate, preIssue=null, nextIssue=null, ext=null, issueFiles=null}, startPage=15, endPage=21, ext={EN=ArticleExt(id=1242132373417046982, articleId=1242132370078380985, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=Crack Propagation Terminating at a Bimaterial Interface Studied Using Extended Finite Element Method, columnId=1242116080374710456, journalTitle=Science & Technology Review, columnName=Articles, runingTitle=null, highlight=null, articleAbstract=A numerical method is presented for obtaining the stress intensity factors of cracks terminating at a bimaterial interface based on extended finite element method (XFEM). A new 6-term crack tip displacement enrichment function is derived. Based on the analytical solution of the stress and displacement fields around the crack tip, the expression of the path independent integral J_kε and the stress intensity factors K_Ⅰ and K_Ⅱ, is established. The XFEM numerical solution is used to calculate the integral J_kε, and the stress intensity factors are obtained by using the above expression. Finally, the maximum circumferential stress criterion is used to request the crack propagation angle θ_p. Results of the numerical simulations show that propagation problems of vertical crack at the bimaterial interface can be solved efficiently by the combination of the integral J_kε method and the XFEM. The crack propagation angle θ_p is smaller when the crack propagates from a softer material into a harder material, but θ_p is larger when the crack propagates from a harder material into a softer material. In the case of the four-point bending test, the crack propagation angle θ_p is independent of the ratio of the Poisson's ratios (v₁/v₂) of materials on both sides of the interface, but θ_p and the logarithm of the ratio of elasticity modulus lg(E₁/E₂) meet an exponential relation., correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=QF892eMShgghgytIQ+AVIQ==, pdfFileSize=2610434, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining & Technology, Xuzhou 221116, China, fund=null, authors=SHI Fang, GAO Feng, GAO Yanan, authorsList=SHI Fang, GAO Feng, GAO Yanan), CN=ArticleExt(id=1242132372125201344, articleId=1242132370078380985, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=基于XFEM的垂直于双材料界面的裂纹扩展问题, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=基于扩展有限元法，提出了双材料界面上垂向裂纹应力强度因子的计算方案。导出由6 项组成的新型裂纹尖端位移增强函数，基于裂尖应力场和位移场的解析解，建立路径无关J_kε积分与应力强度因子K_ⅠK_Ⅱ的关系式，利用扩展有限元法计算J_kε积分，通过上述关系式求得应力强度因子，用最大周向应力准则确定裂纹扩展角θ_p。数值计算表明，J_kε积分与XFEM 结合可有效解决垂直于双材料界面的裂纹扩展问题；当裂纹由弹模较小材料朝着弹模较大材料扩展时，裂纹扩展角θ_p较小，而由弹模较大材料朝着弹模较小材料扩展时，θ_p较大；4 点弯曲试验结果表明，裂纹扩展角θ_p与界面两侧材料的泊松比比值v₁/v₂无关，而与弹性模量比值的对数lg（E₁/E₂）成指数关系。, correspAuthors=null, authorNote=师访，博士研究生，研究方向为扩展有限元方法，电子信箱：fshi@cumt.edu.cn, correspAuthorsNote=高峰（通信作者），教授，研究方向为非线性岩石力学，电子信箱：fgao@cumt.edu.cn, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=9y7Cx4Rvr84o2LcYHYAa3A==, pdfFileSize=2610434, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=中国矿业大学深部岩土力学与地下工程国家重点实验室, 徐州221116, fund=国家重点基础研究发展计划（973计划）项目（2011CB201205）；江苏省普通高校研究生科研创新计划项目（CXZZ13_0922）, authors=师访, 高峰, 高亚楠, authorsList=师访, 高峰, 高亚楠)}, authors=[Author(id=1277014900694184450, tenantId=1146029695717560320, journalId=null, articleId=1242132370078380985, orderNo=null, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=null, email=null, emailSecond=null, emailThird=null, correspondingAuthor=null, authorType=null, ext={EN=AuthorExt(id=null, tenantId=null, journalId=1146031591421210625, articleId=1242132370078380985, authorId=1277014900694184450, language=EN, stringName=SHI Fang, GAO Feng, GAO Yanan, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, 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