A new digital method for three-dimensional stress analysis in elastic media
Identifieur interne : 004806 ( Main/Exploration ); précédent : 004805; suivant : 004807A new digital method for three-dimensional stress analysis in elastic media
Auteurs : H. Deist [Afrique du Sud] ; G. Salamon [Afrique du Sud] ; E. Georgiadis [Afrique du Sud]Source :
- Rock mechanics [ 0035-7448 ] ; 1973-12-01.
Abstract
Summary: A New Digital Method for Three-Dimensional Stress Analysis in Elastic Media: A new method for three-dimensional stress analysis in elastic media is outlined. According to this approach the problem is formulated purely in terms of conditions prevailing at the bounding surfaces of an elastic body. Stress and displacements on these surfaces, as well as inside the body, are expressed in terms of the superimposed effect of a set of basic solutions having suitable properties. The method is developed in matrix form. Some general properties of the governing matrices are established with a view to developing suitable numerical procedures. The convergence characteristics of two iterative schemes are considered. The paper concludes with observations concerning the generality of the approach.
Url:
DOI: 10.1007/BF01301793
Affiliations:
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Deist</name><affiliation wicri:level="1"><country xml:lang="fr">Afrique du Sud</country><wicri:regionArea>Collieries Research Laboratory, Chamber of Mines of South Africa, P. O. Box 809, Johannesburg</wicri:regionArea><wicri:noRegion>Johannesburg</wicri:noRegion></affiliation></author><author><name sortKey="Salamon, G" sort="Salamon, G" uniqKey="Salamon G" first="G." last="Salamon">G. Salamon</name><affiliation wicri:level="1"><country xml:lang="fr">Afrique du Sud</country><wicri:regionArea>Collieries Research Laboratory, Chamber of Mines of South Africa, P. O. Box 809, Johannesburg</wicri:regionArea><wicri:noRegion>Johannesburg</wicri:noRegion></affiliation></author><author><name sortKey="Georgiadis, E" sort="Georgiadis, E" uniqKey="Georgiadis E" first="E." last="Georgiadis">E. Georgiadis</name><affiliation wicri:level="1"><country xml:lang="fr">Afrique du Sud</country><wicri:regionArea>Collieries Research Laboratory, Chamber of Mines of South Africa, P. O. Box 809, Johannesburg</wicri:regionArea><wicri:noRegion>Johannesburg</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Rock mechanics</title><title level="j" type="sub">Journal of the International Society of Rock Mechanics / Felsmechanik / Mécanique des roches</title><title level="j" type="abbrev">Rock Mechanics</title><idno type="ISSN">0035-7448</idno><idno type="eISSN">1434-453X</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>Vienna</pubPlace><date type="published" when="1973-12-01">1973-12-01</date><biblScope unit="volume">5</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="189">189</biblScope><biblScope unit="page" to="202">202</biblScope></imprint><idno type="ISSN">0035-7448</idno></series><idno type="istex">D00750CDDB833B3DB3A72A6FE0635A1862887ABF</idno><idno type="DOI">10.1007/BF01301793</idno><idno type="ArticleID">BF01301793</idno><idno type="ArticleID">Art1</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0035-7448</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Summary: A New Digital Method for Three-Dimensional Stress Analysis in Elastic Media: A new method for three-dimensional stress analysis in elastic media is outlined. According to this approach the problem is formulated purely in terms of conditions prevailing at the bounding surfaces of an elastic body. Stress and displacements on these surfaces, as well as inside the body, are expressed in terms of the superimposed effect of a set of basic solutions having suitable properties. The method is developed in matrix form. Some general properties of the governing matrices are established with a view to developing suitable numerical procedures. The convergence characteristics of two iterative schemes are considered. The paper concludes with observations concerning the generality of the approach.</div></front></TEI><affiliations><list><country><li>Afrique du Sud</li></country></list><tree><country name="Afrique du Sud"><noRegion><name sortKey="Deist, H" sort="Deist, H" uniqKey="Deist H" first="H." last="Deist">H. Deist</name></noRegion><name sortKey="Georgiadis, E" sort="Georgiadis, E" uniqKey="Georgiadis E" first="E." last="Georgiadis">E. Georgiadis</name><name sortKey="Salamon, G" sort="Salamon, G" uniqKey="Salamon G" first="G." last="Salamon">G. Salamon</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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