Bending Equation for a Quasianisotropic Plate
Identifieur interne : 000093 ( Main/Exploration ); précédent : 000092; suivant : 000094Bending Equation for a Quasianisotropic Plate
Auteurs : V. A. Shachnev [Russie]Source :
- Mechanics of solids [ 0025-6544 ] ; 2010.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
In the framework of the linear theory of elasticity, an exact bending equation is obtained for the median plane of a plate whose material is a monoclinic system with the axis of symmetry perpendicular to the plate plane. As an example, the equation of the median plane of an isotropic plate is considered; the operator of this equation coincides with the operator of Sophie Germain's approximate equation. As the plate thickness tends to zero, the right-hand side of the equation is asymptotically equivalent to the right-hand side of the approximate equation. In addition, equations relating the median plane transverse stresses and the total stresses in the plate boundary planes to the median plane deflexions are obtained.
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: 000003
- to stream PascalFrancis, to step Curation: 000002
- to stream PascalFrancis, to step Checkpoint: 000003
- to stream Main, to step Merge: 000094
- to stream Main, to step Curation: 000093
Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Bending Equation for a Quasianisotropic Plate</title>
<author><name sortKey="Shachnev, V A" sort="Shachnev, V A" uniqKey="Shachnev V" first="V. A." last="Shachnev">V. A. Shachnev</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Moscow State Forest Uniuersity, 1-ya Institutskaya St., 1, Mytishchi</s1>
<s2>Moscow Region, 141005</s2>
<s3>RUS</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Russie</country>
<wicri:noRegion>Moscow Region, 141005</wicri:noRegion>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">11-0054271</idno>
<date when="2010">2010</date>
<idno type="stanalyst">PASCAL 11-0054271 INIST</idno>
<idno type="RBID">Pascal:11-0054271</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000003</idno>
<idno type="wicri:Area/PascalFrancis/Curation">000002</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">000003</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">000003</idno>
<idno type="wicri:doubleKey">0025-6544:2010:Shachnev V:bending:equation:for</idno>
<idno type="wicri:Area/Main/Merge">000094</idno>
<idno type="wicri:Area/Main/Curation">000093</idno>
<idno type="wicri:Area/Main/Exploration">000093</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Bending Equation for a Quasianisotropic Plate</title>
<author><name sortKey="Shachnev, V A" sort="Shachnev, V A" uniqKey="Shachnev V" first="V. A." last="Shachnev">V. A. Shachnev</name>
<affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Moscow State Forest Uniuersity, 1-ya Institutskaya St., 1, Mytishchi</s1>
<s2>Moscow Region, 141005</s2>
<s3>RUS</s3>
<sZ>1 aut.</sZ>
</inist:fA14>
<country>Russie</country>
<wicri:noRegion>Moscow Region, 141005</wicri:noRegion>
</affiliation>
</author>
</analytic>
<series><title level="j" type="main">Mechanics of solids</title>
<title level="j" type="abbreviated">Mech. solids</title>
<idno type="ISSN">0025-6544</idno>
<imprint><date when="2010">2010</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><title level="j" type="main">Mechanics of solids</title>
<title level="j" type="abbreviated">Mech. solids</title>
<idno type="ISSN">0025-6544</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Asymptotic approximation</term>
<term>Biaxial stress</term>
<term>Linear elasticity</term>
<term>Modeling</term>
<term>Monoclinic lattices</term>
<term>Operator equation</term>
<term>Plate</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Elasticité linéaire</term>
<term>Contrainte biaxiale</term>
<term>Plaque</term>
<term>Réseau monoclinique</term>
<term>Modélisation</term>
<term>Equation opérateur</term>
<term>Approximation asymptotique</term>
<term>.</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">In the framework of the linear theory of elasticity, an exact bending equation is obtained for the median plane of a plate whose material is a monoclinic system with the axis of symmetry perpendicular to the plate plane. As an example, the equation of the median plane of an isotropic plate is considered; the operator of this equation coincides with the operator of Sophie Germain's approximate equation. As the plate thickness tends to zero, the right-hand side of the equation is asymptotically equivalent to the right-hand side of the approximate equation. In addition, equations relating the median plane transverse stresses and the total stresses in the plate boundary planes to the median plane deflexions are obtained.</div>
</front>
</TEI>
<affiliations><list><country><li>Russie</li>
</country>
</list>
<tree><country name="Russie"><noRegion><name sortKey="Shachnev, V A" sort="Shachnev, V A" uniqKey="Shachnev V" first="V. A." last="Shachnev">V. A. Shachnev</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/SophieGermainV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000093 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000093 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= SophieGermainV1 |flux= Main |étape= Exploration |type= RBID |clé= Pascal:11-0054271 |texte= Bending Equation for a Quasianisotropic Plate }}
This area was generated with Dilib version V0.6.33. |