Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity
The method is presented of modeling displacement, strain and stress fields in the two-dimensional problems of elasticity considering the presence of V-shaped notches with any positive or negative angle. The analytical expressions for stress and strain states at the tip of a V-notch were obtained for...
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| Veröffentlicht in: | Engineering fracture mechanics 1993, Vol.44 (2), p.275-281 |
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| container_title | Engineering fracture mechanics |
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| creator | Seweryn, Andrzej Zwoliński, Janislaw |
| description | The method is presented of modeling displacement, strain and stress fields in the two-dimensional problems of elasticity considering the presence of V-shaped notches with any positive or negative angle. The analytical expressions for stress and strain states at the tip of a V-notch were obtained for two cases of deformation: opening (mode I) and sliding (mode II). This was achieved assuming the appropriate Airy function in polar coordinates with an origin at the notch tip. A new definition of the stress intensity factors was proposed. The analytical predictions were compared with the numerical results obtained using the finite element method. Finite elements with linear-stress distribution and finite elements with asymptotic-stress distribution were used in the mesh idealization. |
| doi_str_mv | 10.1016/0013-7944(93)90052-T |
| format | Article |
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Finite elements with linear-stress distribution and finite elements with asymptotic-stress distribution were used in the mesh idealization.</description><subject>Deformation</subject><subject>Exact sciences and technology</subject><subject>Finite element method</subject><subject>Fracture mechanics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Strain</subject><subject>Stresses</subject><subject>Structural analysis</subject><subject>Structural and continuum mechanics</subject><issn>0013-7944</issn><issn>1873-7315</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNp9kTlvVDEUhS1EJIaEf0DhArEUj3h9S4MURWxSJIoMtJaffT0x8tiD7Rk0PT8cv0yUMpW37xzfey5Cryn5SAntLwmhvBsmId5P_MNEiGTd-hla0XFo15zK52j1iLxAL0v5TQgZ-pGs0L_bFPbVp4hdyrjeAS41QylYR4utL7ugDWwhVuw8BFuwj_fUwRsffT3i5LDGv7qYqrlbDhE2uvoD4L9gN9BsNgEWUTOKgHc5zQG2ZSEh6FKbTT1eoDOnQ4FXD-s5-vnl8_r6W3fz4-v366ubzgjBajezyfVEa-rsIHretqJ1RMaZ9PMoHbem9QScDYJJQYUVc3sZwTGg8wCc83P07uTbyvizh1LV1hcDYSkt7YtqrkzKUY6NfPskyXpGRkpZA8UJNDmVksGpXfZbnY-KErUMRy3JqyV5NXF1Pxy1brI3D_66GB1c1tH48qgVksphEA37dMKgpXLwkFUxHqIB6zOYqmzyT__zH0wqo7g</recordid><startdate>1993</startdate><enddate>1993</enddate><creator>Seweryn, Andrzej</creator><creator>Zwoliński, Janislaw</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7TC</scope></search><sort><creationdate>1993</creationdate><title>Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity</title><author>Seweryn, Andrzej ; Zwoliński, Janislaw</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c442t-b29f60aa1fd746360a479408b06b85f3dc768e327425414d4bb068ef2e1b7e333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Deformation</topic><topic>Exact sciences and technology</topic><topic>Finite element method</topic><topic>Fracture mechanics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Strain</topic><topic>Stresses</topic><topic>Structural analysis</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Seweryn, Andrzej</creatorcontrib><creatorcontrib>Zwoliński, Janislaw</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Engineering fracture mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Seweryn, Andrzej</au><au>Zwoliński, Janislaw</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity</atitle><jtitle>Engineering fracture mechanics</jtitle><date>1993</date><risdate>1993</risdate><volume>44</volume><issue>2</issue><spage>275</spage><epage>281</epage><pages>275-281</pages><issn>0013-7944</issn><eissn>1873-7315</eissn><coden>EFMEAH</coden><abstract>The method is presented of modeling displacement, strain and stress fields in the two-dimensional problems of elasticity considering the presence of V-shaped notches with any positive or negative angle. 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| ispartof | Engineering fracture mechanics, 1993, Vol.44 (2), p.275-281 |
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| language | eng |
| recordid | cdi_proquest_miscellaneous_746255858 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Deformation Exact sciences and technology Finite element method Fracture mechanics Fundamental areas of phenomenology (including applications) Physics Solid mechanics Static elasticity (thermoelasticity...) Strain Stresses Structural analysis Structural and continuum mechanics |
| title | Solution for the stress and displacement fields in the vicinity of a V-notch of negative wedge angle in plane problems of elasticity |
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