DC FieldValueLanguage
dc.contributor.authorMang, Herbert A.-
dc.contributor.authorJia, Xin-
dc.date.accessioned2020-06-27T17:40:10Z-
dc.date.issued2013-
dc.identifier.issn0965-9978-
dc.identifier.urihttps://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-8020-
dc.identifier.urihttp://hdl.handle.net/20.500.12708/726-
dc.description.abstractIt is shown that the determinant of the tangent stiffness matrix has a maximum in the prebuckling regime if and only if the determinant of a specific linear combination of the first and the third derivative of this matrix with respect to a dimensionless load factor vanishes. The mathematical tool for this proof is the so-called consistently linearized eigenproblem in the frame of the Finite Element Method. The physical meaning of the mentioned maximum is the one of a minimum of the percentage bending energy of the total strain energy. The paper provides mathematical and physical background knowledge on numerical results that were obtained 35 years ago.en
dc.description.sponsorshipAustrian Science Fund (FWF)-
dc.languageEnglish-
dc.language.isoen-
dc.publisherElsevier-
dc.relation.ispartofAdvances in Engineering Software-
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/-
dc.subjectBucklingen
dc.subjectConsistently linearized eigenproblemen
dc.subjectMaximum of determinanten
dc.subjectPercentage bending energyen
dc.subjectPressure vesselen
dc.subjectTangent stiffness matrixen
dc.titleMathematical conditions for and physical meaning of a maximum of the determinant of K_T in the prebuckling regimeen
dc.typeArticleen
dc.typeArtikelde
dc.relation.grantnoP24526-N26-
dc.rights.holderThe Author(s) 2013-
dc.type.categoryResearch Articleen
dc.type.categoryForschungsartikelde
tuw.versionvor-
dcterms.isPartOf.titleAdvances in Engineering Software-
tuw.publication.orgunitE202 - Institut für Mechanik der Werkstoffe und Strukturen-
tuw.publisher.doi10.1016/j.advengsoft.2013.04.023-
dc.identifier.libraryidAC15534600-
dc.identifier.urnurn:nbn:at:at-ubtuw:3-8020-
dc.rights.identifierCC BY NC ND 3.0-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.openairetypeArtikel-
item.grantfulltextopen-
item.openaccessfulltextOpen Access-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.cerifentitytypePublications-
item.fulltextwith Fulltext-
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