Bending of a highly stretched plate containing an eccentrically plate-reinforced circular hole
In this paper, we consider the problem of finding the stress distribution in a highly stretched plate containing a circular hole that is eccentrically reinforced by thickening the plate, on one side only, in an annular region concentric with the hole. A solution of the nonlinear Kármán plate equatio...
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Veröffentlicht in: | International journal of solids and structures 1975-04, Vol.11 (4), p.501-518 |
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description | In this paper, we consider the problem of finding the stress distribution in a highly stretched plate containing a circular hole that is eccentrically reinforced by thickening the plate, on one side only, in an annular region concentric with the hole. A solution of the nonlinear Kármán plate equations is obtained that is asymptotically valid for large membrane stresses. We show that, except for a narrow bending boundary layer in the neighbourhood of the boundary between the reinforced area and the rest of the plate, a state of plane stress prevails and the reinforced area undergoes a transverse deflection that brings its middle surface into the plane of the middle surface of the plate. |
doi_str_mv | 10.1016/0020-7683(75)90085-2 |
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We show that, except for a narrow bending boundary layer in the neighbourhood of the boundary between the reinforced area and the rest of the plate, a state of plane stress prevails and the reinforced area undergoes a transverse deflection that brings its middle surface into the plane of the middle surface of the plate.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/0020-7683(75)90085-2</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><ispartof>International journal of solids and structures, 1975-04, Vol.11 (4), p.501-518</ispartof><rights>1975</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c250t-1a6261e4d704a9bab164f7d7adb96036ef1d7dd19fbd4dae81a97ddfa6e41aa93</citedby><cites>FETCH-LOGICAL-c250t-1a6261e4d704a9bab164f7d7adb96036ef1d7dd19fbd4dae81a97ddfa6e41aa93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0020-7683(75)90085-2$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>315,781,785,3551,27928,27929,45999</link.rule.ids></links><search><creatorcontrib>Fraser, W.B.</creatorcontrib><title>Bending of a highly stretched plate containing an eccentrically plate-reinforced circular hole</title><title>International journal of solids and structures</title><description>In this paper, we consider the problem of finding the stress distribution in a highly stretched plate containing a circular hole that is eccentrically reinforced by thickening the plate, on one side only, in an annular region concentric with the hole. A solution of the nonlinear Kármán plate equations is obtained that is asymptotically valid for large membrane stresses. 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A solution of the nonlinear Kármán plate equations is obtained that is asymptotically valid for large membrane stresses. We show that, except for a narrow bending boundary layer in the neighbourhood of the boundary between the reinforced area and the rest of the plate, a state of plane stress prevails and the reinforced area undergoes a transverse deflection that brings its middle surface into the plane of the middle surface of the plate.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/0020-7683(75)90085-2</doi><tpages>18</tpages></addata></record> |
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title | Bending of a highly stretched plate containing an eccentrically plate-reinforced circular hole |
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