Symmetric Edge Cracks in an Orthotropic Strip Under Normal Loading
The problem of two edge cracks of finite length, situated symmetrically in an orthotropic infinite strip of finite thickness 2 h , under normal point loading has been discussed. The displacements and stresses in plane strain conditions are expressed in terms of two harmonic functions. The problem is...
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Veröffentlicht in: | International journal of fracture 2008-09, Vol.153 (1), p.77-84 |
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creator | Das, S. Chakraborty, S. Srikanth, N. Gupta, M. |
description | The problem of two edge cracks of finite length, situated symmetrically in an orthotropic infinite strip of finite thickness 2
h
, under normal point loading has been discussed. The displacements and stresses in plane strain conditions are expressed in terms of two harmonic functions. The problem is addressed by seeking the solution of a pair of simultaneous integral equations with Cauchy type singularities solved by finite Hilbert Transform technique. For large
h
, analytical expression for the stress intensity factor at the crack tip is obtained. |
doi_str_mv | 10.1007/s10704-008-9284-5 |
format | Article |
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h
, under normal point loading has been discussed. The displacements and stresses in plane strain conditions are expressed in terms of two harmonic functions. The problem is addressed by seeking the solution of a pair of simultaneous integral equations with Cauchy type singularities solved by finite Hilbert Transform technique. For large
h
, analytical expression for the stress intensity factor at the crack tip is obtained.</description><identifier>ISSN: 0376-9429</identifier><identifier>EISSN: 1573-2673</identifier><identifier>DOI: 10.1007/s10704-008-9284-5</identifier><identifier>CODEN: IJFRAP</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Characterization and Evaluation of Materials ; Chemistry and Materials Science ; Civil Engineering ; Classical Mechanics ; Crack tips ; Edge cracks ; Exact sciences and technology ; Fracture mechanics (crack, fatigue, damage...) ; Fundamental areas of phenomenology (including applications) ; Harmonic functions ; Hilbert transformation ; Integral equations ; Letters in Fracture and Micromechanics ; Materials Science ; Mechanical Engineering ; Physics ; Plane strain ; Singularities ; Solid mechanics ; Stress intensity factors ; Strip ; Structural and continuum mechanics</subject><ispartof>International journal of fracture, 2008-09, Vol.153 (1), p.77-84</ispartof><rights>Springer Science+Business Media B.V. 2008</rights><rights>2009 INIST-CNRS</rights><rights>International Journal of Fracture is a copyright of Springer, (2008). All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c346t-e7ae112d28677f45430dde86424f2aeec19757d2bf8bfc6ce90a480b88a4e4c63</citedby><cites>FETCH-LOGICAL-c346t-e7ae112d28677f45430dde86424f2aeec19757d2bf8bfc6ce90a480b88a4e4c63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10704-008-9284-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10704-008-9284-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=21059713$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Das, S.</creatorcontrib><creatorcontrib>Chakraborty, S.</creatorcontrib><creatorcontrib>Srikanth, N.</creatorcontrib><creatorcontrib>Gupta, M.</creatorcontrib><title>Symmetric Edge Cracks in an Orthotropic Strip Under Normal Loading</title><title>International journal of fracture</title><addtitle>Int J Fract</addtitle><description>The problem of two edge cracks of finite length, situated symmetrically in an orthotropic infinite strip of finite thickness 2
h
, under normal point loading has been discussed. The displacements and stresses in plane strain conditions are expressed in terms of two harmonic functions. The problem is addressed by seeking the solution of a pair of simultaneous integral equations with Cauchy type singularities solved by finite Hilbert Transform technique. For large
h
, analytical expression for the stress intensity factor at the crack tip is obtained.</description><subject>Automotive Engineering</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Civil Engineering</subject><subject>Classical Mechanics</subject><subject>Crack tips</subject><subject>Edge cracks</subject><subject>Exact sciences and technology</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Harmonic functions</subject><subject>Hilbert transformation</subject><subject>Integral equations</subject><subject>Letters in Fracture and Micromechanics</subject><subject>Materials Science</subject><subject>Mechanical Engineering</subject><subject>Physics</subject><subject>Plane strain</subject><subject>Singularities</subject><subject>Solid mechanics</subject><subject>Stress intensity factors</subject><subject>Strip</subject><subject>Structural and continuum mechanics</subject><issn>0376-9429</issn><issn>1573-2673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kLtOAzEQRS0EEiHwAXSWEKVh7PX6UUKUAFJEipDacrzesCH7wN4U-XscbQQV1RRz7p3RQeiWwgMFkI-RggROABTRTHGSn6ERzWVGmJDZORpBJgXRnOlLdBXjFgC0VHyEnpeHuvZ9qByeFhuPJ8G6r4irBtsGL0L_2fah7dJ2mZgOr5rCB_zehtru8Ly1RdVsrtFFaXfR35zmGK1m04_JK5kvXt4mT3PiMi564qX1lLKCKSFlyXOeQVF4JTjjJbPeO6plLgu2LtW6dMJ5DZYrWCtluedOZGN0N_R2of3e-9ibbbsPTTppGMu1kpRKnig6UC60MQZfmi5UtQ0HQ8EcVZlBlUmqzFGVyVPm_tRso7O7MtjGVfE3yCjkWtIscWzgYlo1Gx_-Pvi__Ac92Xez</recordid><startdate>20080901</startdate><enddate>20080901</enddate><creator>Das, S.</creator><creator>Chakraborty, S.</creator><creator>Srikanth, N.</creator><creator>Gupta, M.</creator><general>Springer Netherlands</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20080901</creationdate><title>Symmetric Edge Cracks in an Orthotropic Strip Under Normal Loading</title><author>Das, S. ; Chakraborty, S. ; Srikanth, N. ; Gupta, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c346t-e7ae112d28677f45430dde86424f2aeec19757d2bf8bfc6ce90a480b88a4e4c63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Automotive Engineering</topic><topic>Characterization and Evaluation of Materials</topic><topic>Chemistry and Materials Science</topic><topic>Civil Engineering</topic><topic>Classical Mechanics</topic><topic>Crack tips</topic><topic>Edge cracks</topic><topic>Exact sciences and technology</topic><topic>Fracture mechanics (crack, fatigue, damage...)</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Harmonic functions</topic><topic>Hilbert transformation</topic><topic>Integral equations</topic><topic>Letters in Fracture and Micromechanics</topic><topic>Materials Science</topic><topic>Mechanical Engineering</topic><topic>Physics</topic><topic>Plane strain</topic><topic>Singularities</topic><topic>Solid mechanics</topic><topic>Stress intensity factors</topic><topic>Strip</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Das, S.</creatorcontrib><creatorcontrib>Chakraborty, S.</creatorcontrib><creatorcontrib>Srikanth, N.</creatorcontrib><creatorcontrib>Gupta, M.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Materials Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Materials Science Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>International journal of fracture</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Das, S.</au><au>Chakraborty, S.</au><au>Srikanth, N.</au><au>Gupta, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Symmetric Edge Cracks in an Orthotropic Strip Under Normal Loading</atitle><jtitle>International journal of fracture</jtitle><stitle>Int J Fract</stitle><date>2008-09-01</date><risdate>2008</risdate><volume>153</volume><issue>1</issue><spage>77</spage><epage>84</epage><pages>77-84</pages><issn>0376-9429</issn><eissn>1573-2673</eissn><coden>IJFRAP</coden><abstract>The problem of two edge cracks of finite length, situated symmetrically in an orthotropic infinite strip of finite thickness 2
h
, under normal point loading has been discussed. The displacements and stresses in plane strain conditions are expressed in terms of two harmonic functions. The problem is addressed by seeking the solution of a pair of simultaneous integral equations with Cauchy type singularities solved by finite Hilbert Transform technique. For large
h
, analytical expression for the stress intensity factor at the crack tip is obtained.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10704-008-9284-5</doi><tpages>8</tpages></addata></record> |
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subjects | Automotive Engineering Characterization and Evaluation of Materials Chemistry and Materials Science Civil Engineering Classical Mechanics Crack tips Edge cracks Exact sciences and technology Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Harmonic functions Hilbert transformation Integral equations Letters in Fracture and Micromechanics Materials Science Mechanical Engineering Physics Plane strain Singularities Solid mechanics Stress intensity factors Strip Structural and continuum mechanics |
title | Symmetric Edge Cracks in an Orthotropic Strip Under Normal Loading |
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