Stress concentration in an elastic square plate with a full-strength hole
This paper addresses the problem of plate bending for a square weakened with a full-strength hole including the origin of coordinates. The vertices of the square lie on the coordinate axes and its neighbourhoods are cut by the same smooth full-strength arcs which are symmetric with respect to the co...
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| Veröffentlicht in: | Mathematics and mechanics of solids 2016-05, Vol.21 (5), p.552-561 |
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| container_title | Mathematics and mechanics of solids |
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| creator | Odishelidze, N Criado-Aldeanueva, F Criado, F Sanchez, JM |
| description | This paper addresses the problem of plate bending for a square weakened with a full-strength hole including the origin of coordinates. The vertices of the square lie on the coordinate axes and its neighbourhoods are cut by the same smooth full-strength arcs which are symmetric with respect to the coordinate axes. Rigid bars are attached to each component of the broken line of the outer boundary of the plate. The plate bends under the action of concentrated moments applied to the middle points of the bars. The unknown part of the boundary is free from external forces. Using the methods of complex analysis, the unknown part of the boundary is found under the condition that the tangential–normal moment takes a constant value. Numerical analysis is performed and the corresponding graphs are constructed. |
| doi_str_mv | 10.1177/1081286514530753 |
| format | Article |
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The vertices of the square lie on the coordinate axes and its neighbourhoods are cut by the same smooth full-strength arcs which are symmetric with respect to the coordinate axes. Rigid bars are attached to each component of the broken line of the outer boundary of the plate. The plate bends under the action of concentrated moments applied to the middle points of the bars. The unknown part of the boundary is free from external forces. Using the methods of complex analysis, the unknown part of the boundary is found under the condition that the tangential–normal moment takes a constant value. 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The vertices of the square lie on the coordinate axes and its neighbourhoods are cut by the same smooth full-strength arcs which are symmetric with respect to the coordinate axes. Rigid bars are attached to each component of the broken line of the outer boundary of the plate. The plate bends under the action of concentrated moments applied to the middle points of the bars. The unknown part of the boundary is free from external forces. Using the methods of complex analysis, the unknown part of the boundary is found under the condition that the tangential–normal moment takes a constant value. Numerical analysis is performed and the corresponding graphs are constructed.</description><subject>Bars</subject><subject>Bending</subject><subject>Bends</subject><subject>Boundaries</subject><subject>Constants</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Square plates</subject><issn>1081-2865</issn><issn>1741-3028</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kM1LAzEQxYMoWKt3jzl6iWaym2R7lOJHoeBBPS9pdtJuSbNtkkX8702pJ8HTzPB-b-A9Qm6B3wNo_QC8AdEoCbWsuJbVGZmAroFVXDTnZS8yO-qX5CqlLedcSF1NyOI9R0yJ2iFYDDma3A-B9oGaQNGblHtL02E0Eenem4z0q88baqgbvWepeMO63JvB4zW5cMYnvPmdU_L5_PQxf2XLt5fF_HHJbAV1ZhrFSqrOOWXkCpWspbB6BrJuNDjpOq07C06hKJi2XJh61s0U59DUTnadqqbk7vR3H4fDiCm3uz5Z9N4EHMbUQgOKK6UqUVB-Qm0cUoro2n3sdyZ-t8DbY2vt39aKhZ0syayx3Q5jDCXM__wPZcxrvg</recordid><startdate>201605</startdate><enddate>201605</enddate><creator>Odishelidze, N</creator><creator>Criado-Aldeanueva, F</creator><creator>Criado, F</creator><creator>Sanchez, JM</creator><general>SAGE Publications</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>201605</creationdate><title>Stress concentration in an elastic square plate with a full-strength hole</title><author>Odishelidze, N ; Criado-Aldeanueva, F ; Criado, F ; Sanchez, JM</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c314t-7e2b56dff6a5be65452c79154871f5fd77dc1f6e22b57c02a49d9600184f5dd63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Bars</topic><topic>Bending</topic><topic>Bends</topic><topic>Boundaries</topic><topic>Constants</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Square plates</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Odishelidze, N</creatorcontrib><creatorcontrib>Criado-Aldeanueva, F</creatorcontrib><creatorcontrib>Criado, F</creatorcontrib><creatorcontrib>Sanchez, JM</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematics and mechanics of solids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Odishelidze, N</au><au>Criado-Aldeanueva, F</au><au>Criado, F</au><au>Sanchez, JM</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stress concentration in an elastic square plate with a full-strength hole</atitle><jtitle>Mathematics and mechanics of solids</jtitle><date>2016-05</date><risdate>2016</risdate><volume>21</volume><issue>5</issue><spage>552</spage><epage>561</epage><pages>552-561</pages><issn>1081-2865</issn><eissn>1741-3028</eissn><abstract>This paper addresses the problem of plate bending for a square weakened with a full-strength hole including the origin of coordinates. The vertices of the square lie on the coordinate axes and its neighbourhoods are cut by the same smooth full-strength arcs which are symmetric with respect to the coordinate axes. Rigid bars are attached to each component of the broken line of the outer boundary of the plate. The plate bends under the action of concentrated moments applied to the middle points of the bars. The unknown part of the boundary is free from external forces. Using the methods of complex analysis, the unknown part of the boundary is found under the condition that the tangential–normal moment takes a constant value. Numerical analysis is performed and the corresponding graphs are constructed.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/1081286514530753</doi><tpages>10</tpages></addata></record> |
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| ispartof | Mathematics and mechanics of solids, 2016-05, Vol.21 (5), p.552-561 |
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| language | eng |
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| subjects | Bars Bending Bends Boundaries Constants Mathematical analysis Mathematical models Square plates |
| title | Stress concentration in an elastic square plate with a full-strength hole |
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