{"title":"不同加载约束条件下复合材料带材中传播的 SH 波引起的移动裂纹","authors":"Santan Kumar, Ram Prasad Yadav, Renu","doi":"10.1007/s00419-024-02649-8","DOIUrl":null,"url":null,"abstract":"<div><p>The crux of the present investigation is to come up with a mathematical model for the analysis of moving interfacial crack caused by SH-wave propagating in a composite strip featuring dissimilar orthotropic material. Wiener–Hopf methodology along with complex variable transform technique has been applied to determine the closed form analytical expression of SIF (stress intensity factor). Two different types of loading constraints, viz. NHL (non-harmonic loading) and HL (harmonic loading), on the edges of the crack have been studied. In addition to this, some special cases, viz. constant loading and stress free condition, following aforementioned loading constraints have also been taken into account for the moving crack in the considered composite strip. The limiting case for static condition leading to resonance-type phenomena has been presented for the subject under investigation. When computed numerically and depicted graphically, the profound impacts of distinct material and geometrical parameters on SIF for distinct loading constraints have also been manifested. The computational results bring out the fact that stress intensity factor falls off with rise in crack velocity when the edges of the crack are under NHL, whereas SIF shows reverse nature for HL.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 10","pages":"2889 - 2908"},"PeriodicalIF":2.2000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Moving crack caused by SH-wave propagating in a composite strip under distinct loading constraints\",\"authors\":\"Santan Kumar, Ram Prasad Yadav, Renu\",\"doi\":\"10.1007/s00419-024-02649-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The crux of the present investigation is to come up with a mathematical model for the analysis of moving interfacial crack caused by SH-wave propagating in a composite strip featuring dissimilar orthotropic material. Wiener–Hopf methodology along with complex variable transform technique has been applied to determine the closed form analytical expression of SIF (stress intensity factor). Two different types of loading constraints, viz. NHL (non-harmonic loading) and HL (harmonic loading), on the edges of the crack have been studied. In addition to this, some special cases, viz. constant loading and stress free condition, following aforementioned loading constraints have also been taken into account for the moving crack in the considered composite strip. The limiting case for static condition leading to resonance-type phenomena has been presented for the subject under investigation. When computed numerically and depicted graphically, the profound impacts of distinct material and geometrical parameters on SIF for distinct loading constraints have also been manifested. The computational results bring out the fact that stress intensity factor falls off with rise in crack velocity when the edges of the crack are under NHL, whereas SIF shows reverse nature for HL.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"94 10\",\"pages\":\"2889 - 2908\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-024-02649-8\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-024-02649-8","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
摘要
本研究的关键在于建立一个数学模型,用于分析 SH 波在具有异种正交材料的复合材料带中传播时引起的移动界面裂纹。Wiener-Hopf 方法与复变变换技术一起被用于确定 SIF(应力强度因子)的封闭式分析表达式。研究了裂缝边缘的两种不同类型的加载约束,即 NHL(非谐波加载)和 HL(谐波加载)。此外,还考虑了一些特殊情况,即恒定加载和无应力条件,在上述加载约束条件下,考虑复合材料带材中的移动裂纹。针对研究对象提出了导致共振型现象的静态条件极限情况。通过数值计算和图表说明,在不同的加载约束条件下,不同的材料和几何参数对 SIF 的深刻影响也得到了体现。计算结果表明,当裂纹边缘处于 NHL 条件下时,应力强度因子随裂纹速度的增加而下降,而 SIF 则与 HL 的性质相反。
Moving crack caused by SH-wave propagating in a composite strip under distinct loading constraints
The crux of the present investigation is to come up with a mathematical model for the analysis of moving interfacial crack caused by SH-wave propagating in a composite strip featuring dissimilar orthotropic material. Wiener–Hopf methodology along with complex variable transform technique has been applied to determine the closed form analytical expression of SIF (stress intensity factor). Two different types of loading constraints, viz. NHL (non-harmonic loading) and HL (harmonic loading), on the edges of the crack have been studied. In addition to this, some special cases, viz. constant loading and stress free condition, following aforementioned loading constraints have also been taken into account for the moving crack in the considered composite strip. The limiting case for static condition leading to resonance-type phenomena has been presented for the subject under investigation. When computed numerically and depicted graphically, the profound impacts of distinct material and geometrical parameters on SIF for distinct loading constraints have also been manifested. The computational results bring out the fact that stress intensity factor falls off with rise in crack velocity when the edges of the crack are under NHL, whereas SIF shows reverse nature for HL.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.