<div class="csl-bib-body">
<div class="csl-entry">Pavlicek, S., Jia, X., & Mang, H. A. (2014). Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC. <i>Proceedings in Applied Mathematics and Mechanics</i>. https://doi.org/10.1002/pamm.201410087</div>
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This is the peer reviewed version of the following article: Pavlicek, S., Xia, J. and Mang, H. A. (2014), Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC. Proc. Appl. Math. Mech., 14: 199–200, which has been published in final form at <a href="https://doi.org/10.1002/pamm.201410087">https://doi.org/10.1002/pamm.201410087</a>. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
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dc.description.abstract
More recently, a concept of energy‐based categorization of buckling was proposed. It represents a symbiosis of mechanics of solids and spherical geometry. The fundamental mathematical background of this concept is the so‐called consistently linearized eigenproblem. The numerical solution of this eigenproblem by means of the finite element method is a key issue of the mentioned concept. This solution is obtained with the help of the commercial finite element software MSC.MARC . An iterative process, involving the programming lanuages PYTHON and FORTRAN 77 and the software MATLAB , is devised, making use of the available element library, of different types of solvers, and of further modeling tools.
en
dc.description.sponsorship
Austrian Science Funds (FWF)
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dc.language
English
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en
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dc.publisher
Wiley-VCH Verlag GmbH & Co. KGaA
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Proceedings in Applied Mathematics and Mechanics
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http://rightsstatements.org/vocab/InC/1.0/
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dc.title
Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC
en
dc.type
Article
en
dc.type
Artikel
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In Copyright
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dc.rights.license
Urheberrechtsschutz
de
dc.relation.grantno
P 24526-N26
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dc.rights.holder
2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
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dc.type.category
Original Research Article
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false
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am
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Proceedings in Applied Mathematics and Mechanics
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E202 - Institut für Mechanik der Werkstoffe und Strukturen
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tuw.publisher.doi
10.1002/pamm.201410087
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dc.identifier.eissn
1617-7061
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dc.identifier.libraryid
AC11360184
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dc.identifier.urn
urn:nbn:at:at-ubtuw:3-2045
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dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
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with Fulltext
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open
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http://purl.org/coar/resource_type/c_2df8fbb1
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Publications
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en
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research article
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Open Access
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E202 - Institut für Mechanik der Werkstoffe und Strukturen
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E202 - Institut für Mechanik der Werkstoffe und Strukturen
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crisitem.author.dept
E202 - Institut für Mechanik der Werkstoffe und Strukturen
