Semi-infinite moving crack under antiplane shear loading
The article deals with the study of a moving interfacial semi-infinite crack situated between two orthotropic strips of different composite materials. The crack surface is under the shear wave disturbance. The governing equations have been solved by applying the Fourier transform technique to get th...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2022-12, Vol.73 (6), Article 229 |
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| creator | Trivedi, N. Das, S. |
| description | The article deals with the study of a moving interfacial semi-infinite crack situated between two orthotropic strips of different composite materials. The crack surface is under the shear wave disturbance. The governing equations have been solved by applying the Fourier transform technique to get the desired standard form of the Wiener–Hopf equation, which is further solved by using the Wiener–Hopf method. The analytical asymptotic expressions for physical quantities like stress intensity factor (SIF) and crack opening displacement (COD) for the crack have been obtained. The nature of SIF and COD for different combinations of composite materials and also for various depths of the semi-infinite strips has been depicted graphically. |
| doi_str_mv | 10.1007/s00033-022-01857-y |
| format | Article |
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Angew. Math. Phys</addtitle><description>The article deals with the study of a moving interfacial semi-infinite crack situated between two orthotropic strips of different composite materials. The crack surface is under the shear wave disturbance. The governing equations have been solved by applying the Fourier transform technique to get the desired standard form of the Wiener–Hopf equation, which is further solved by using the Wiener–Hopf method. The analytical asymptotic expressions for physical quantities like stress intensity factor (SIF) and crack opening displacement (COD) for the crack have been obtained. The nature of SIF and COD for different combinations of composite materials and also for various depths of the semi-infinite strips has been depicted graphically.</description><subject>Asymptotic methods</subject><subject>Composite materials</subject><subject>Crack opening displacement</subject><subject>Engineering</subject><subject>Fourier transforms</subject><subject>Mathematical Methods in Physics</subject><subject>Stress intensity factors</subject><subject>Theoretical and Applied Mechanics</subject><subject>Wiener Hopf equations</subject><subject>Wiener-Hopf method</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEFLAzEQRoMoWKt_wNOC5-hkkmy6RylqhYIH9Rxms9ma2mZrshX6711dwZunubz3DTzGLgVcCwBzkwFASg6IHMRMG344YhOhEHgFsjpmEwClOKLRp-ws5_WAGwFywmbPfht4iG2IoffFtvsMcVW4RO692MfGp4JiH3Ybir7Ib55SsemoGZhzdtLSJvuL3ztlr_d3L_MFXz49PM5vl9yhqnruSRJoVKTKpvbUugacJ68JgWqjnBG6FJWSvtVIUrgGTVUbOasrcojaySm7Gnd3qfvY-9zbdbdPcXhp0aAupYLSDBSOlEtdzsm3dpfCltLBCrDfhexYyA6F7E8hexgkOUp5gOPKp7_pf6wvwTtpdQ</recordid><startdate>20221201</startdate><enddate>20221201</enddate><creator>Trivedi, N.</creator><creator>Das, S.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20221201</creationdate><title>Semi-infinite moving crack under antiplane shear loading</title><author>Trivedi, N. ; Das, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c249t-ea3a0524a46dbeafcd0ceae5a20ab74c71561943ef52a31cd279b738b9ac225c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Asymptotic methods</topic><topic>Composite materials</topic><topic>Crack opening displacement</topic><topic>Engineering</topic><topic>Fourier transforms</topic><topic>Mathematical Methods in Physics</topic><topic>Stress intensity factors</topic><topic>Theoretical and Applied Mechanics</topic><topic>Wiener Hopf equations</topic><topic>Wiener-Hopf method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Trivedi, N.</creatorcontrib><creatorcontrib>Das, S.</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Trivedi, N.</au><au>Das, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Semi-infinite moving crack under antiplane shear loading</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. Angew. Math. Phys</stitle><date>2022-12-01</date><risdate>2022</risdate><volume>73</volume><issue>6</issue><artnum>229</artnum><issn>0044-2275</issn><eissn>1420-9039</eissn><abstract>The article deals with the study of a moving interfacial semi-infinite crack situated between two orthotropic strips of different composite materials. The crack surface is under the shear wave disturbance. The governing equations have been solved by applying the Fourier transform technique to get the desired standard form of the Wiener–Hopf equation, which is further solved by using the Wiener–Hopf method. The analytical asymptotic expressions for physical quantities like stress intensity factor (SIF) and crack opening displacement (COD) for the crack have been obtained. 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| subjects | Asymptotic methods Composite materials Crack opening displacement Engineering Fourier transforms Mathematical Methods in Physics Stress intensity factors Theoretical and Applied Mechanics Wiener Hopf equations Wiener-Hopf method |
| title | Semi-infinite moving crack under antiplane shear loading |
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