Article(id=1241838552951096102, tenantId=1146029695717560320, journalId=1241755870837649424, issueId=1241838547544641612, articleNumber=null, orderNo=null, doi=10.19636/j.cnki.cjsm42-1250/o3.2024.057, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1730736000000, receivedDateStr=2024-11-05, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1774006983268, onlineDateStr=2026-03-20, pubDate=1745337600000, pubDateStr=2025-04-23, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1774006983268, onlineIssueDateStr=2026-03-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774006983268, creator=13701087609, updateTime=1774006983268, updator=13701087609, issue=Issue{id=1241838547544641612, tenantId=1146029695717560320, journalId=1241755870837649424, year='2025', volume='46', issue='2', pageStart='149', pageEnd='296', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1774006981978, creator=13701087609, updateTime=1774007061443, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241838880882758461, tenantId=1146029695717560320, journalId=1241755870837649424, issueId=1241838547544641612, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241838880882758462, tenantId=1146029695717560320, journalId=1241755870837649424, issueId=1241838547544641612, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=206, endPage=217, ext={EN=ArticleExt(id=1241838553299223337, articleId=1241838552951096102, tenantId=1146029695717560320, journalId=1241755870837649424, language=EN, title=Perturbation Method for Solving Tensile and Compressive Deformation of Circular Rods with Axisymmetric Rough Surfaces, columnId=1241831201674171363, journalTitle=Chinese Journal of Solid Mechanics, columnName=Research Papers, runingTitle=null, highlight=null, articleAbstract=

Factors such as processing techniques, daily abrasion, and atmospheric corrosion lead to a specific level of surface roughness in component surfaces. This paper examines the tensile and compressive deformation behavior of circular rods with axisymmetric random rough surfaces. First, a digital reconstruction of the rough circular rod model was conducted, where the rough surface was jointly characterized by two statistical parameters: root mean square height and correlation length. Then, the dimensionless governing differential equation for both tensile and compressive cases of the rough circular rod was derived through the infinitesimal element method. Subsequently, in combination with the perturbation method and the fast Fourier transform, the governing equation was solved, yielding the perturbation solutions for both types of deformation of the rough circular rod. The validity of these solutions was verified through comparisons with analytical and finite element solutions. Finally, to explore the influence of the statistical parameters of rough surfaces on tensile and compressive deformation, the contributions of first-order and second-order perturbation solutions were systematically compared, and an empirical formula for the perturbation amplitude was established. The effect of perturbation on the results gradually increased with root mean square height and correlation length; the proportion of the second-order perturbation solution rose with root mean square height but remained unaffected by correlation length. This work not only expands the research scope of traditional problems in mechanics of materials related to tensile and compressive deformation, but also provides an example of the application of mathematical and physical methods in mechanical practice. Moreover, this study offers a theoretical basis for optimizing the manufacturing processes of components and quantitatively assessing the impact of surface defects on the mechanical properties of components.

, correspAuthors=Jiao Wang, 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, authorCompany=null, fund=null, authors=null, authorsList=Jianen Ding, Jiao Wang, Xiangyu Li), CN=ArticleExt(id=1241838586048348716, articleId=1241838552951096102, tenantId=1146029695717560320, journalId=1241755870837649424, language=CN, title=轴对称粗糙圆杆拉压变形的摄动解法, columnId=1241831201896469478, journalTitle=固体力学学报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=

由于加工工艺、日常磨损、大气腐蚀等原因，构件的表面往往存在一定的表面粗糙度，本文主要研究具有轴对称随机粗糙表面圆杆的拉压变形行为. 首先对粗糙圆杆模型进行了数字重建，粗糙面由高度均方根和相关长度两个统计参量协同表征. 然后利用微元法推导了拉压情形下粗糙圆杆的无量纲控制微分方程. 结合摄动法和快速傅里叶变换，对该控制方程进行了求解，获得了粗糙圆杆拉压变形的摄动解，并利用解析解与有限元解验证了摄动解的有效性. 最后，系统地比较了摄动一阶解和二阶解对结果的贡献，并建立了扰动幅值的经验公式. 得到结论：扰动对结果的影响会随着高度均方根和相关长度的增大而逐渐增大；扰动中二阶解的占比会随着高度均方根的增大而逐渐增大，但二阶解相关长度的关系不大. 本文工作不仅拓宽了材料力学中传统拉压问题的研究范畴，为数学物理方法的力学实践提供了实例，同时也为优化构件制造工艺以及定量评估表面缺陷对构件力学性能的影响提供理论依据.

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