{"title":"Analysis of stress intensity factor for moving Griffith crack in a transversely isotropic strip under punch pressure","authors":"Ajeet Kumar Singh, Abhishek Kumar Singh, Ram Prasad Yadav, Sayantan Guha","doi":"10.1007/s12517-024-12098-w","DOIUrl":null,"url":null,"abstract":"<div><p>The present study is dedicated to analyzing Griffith crack transference within finitely thick and infinitely extending transversely isotropic strip. This strip is bounded by two parallel punches exerting a constant load distribution through Dirac delta functions, which are a consequence of plane waves propagating due to mechanical point loading. Moreover, the developed model employs coupled singular integral equations and Cauchy-type singularities. It is utilized to analyze the point load at the advancing crack tip, while leveraging Hilbert transformation properties to derive the stress intensity factor (SIF) under constant point loading in a closed analytical form. The investigation incorporates numerical computations and graphical representations to scrutinize the impact of various parameters, including crack length and speed, punch pressure, and different positions of the point load, on the SIF. These analyses are conducted for both transversely isotropic and isotropic material strips.</p></div>","PeriodicalId":476,"journal":{"name":"Arabian Journal of Geosciences","volume":"17 11","pages":""},"PeriodicalIF":1.8270,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12517-024-12098-w.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arabian Journal of Geosciences","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s12517-024-12098-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Earth and Planetary Sciences","Score":null,"Total":0}
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Abstract
The present study is dedicated to analyzing Griffith crack transference within finitely thick and infinitely extending transversely isotropic strip. This strip is bounded by two parallel punches exerting a constant load distribution through Dirac delta functions, which are a consequence of plane waves propagating due to mechanical point loading. Moreover, the developed model employs coupled singular integral equations and Cauchy-type singularities. It is utilized to analyze the point load at the advancing crack tip, while leveraging Hilbert transformation properties to derive the stress intensity factor (SIF) under constant point loading in a closed analytical form. The investigation incorporates numerical computations and graphical representations to scrutinize the impact of various parameters, including crack length and speed, punch pressure, and different positions of the point load, on the SIF. These analyses are conducted for both transversely isotropic and isotropic material strips.
期刊介绍：
The Arabian Journal of Geosciences is the official journal of the Saudi Society for Geosciences and publishes peer-reviewed original and review articles on the entire range of Earth Science themes, focused on, but not limited to, those that have regional significance to the Middle East and the Euro-Mediterranean Zone.
Key topics therefore include; geology, hydrogeology, earth system science, petroleum sciences, geophysics, seismology and crustal structures, tectonics, sedimentology, palaeontology, metamorphic and igneous petrology, natural hazards, environmental sciences and sustainable development, geoarchaeology, geomorphology, paleo-environment studies, oceanography, atmospheric sciences, GIS and remote sensing, geodesy, mineralogy, volcanology, geochemistry and metallogenesis.
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