Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version

Handle URI:
http://hdl.handle.net/10754/561796
Title:
Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version
Authors:
Niemi, Antti; Babuška, Ivo M.; Pitkäranta, Juhani; Demkowicz, Leszek F.
Abstract:
We perform finite element analysis of the so called Girkmann problem in structural mechanics. The problem involves an axially symmetric spherical shell stiffened with a foot ring and is approached (1) by using the axisymmetric formulation of linear elasticity theory and (2) by using a dimensionally reduced shell-ring model. In the first approach the problem is solved with a fully automatic hp-adaptive finite element solver whereas the classical h-version of the finite element method is used in the second approach. We study the convergence behaviour of the different numerical models and show that accurate stress resultants can be obtained with both models by using effective post-processing formulas. © Springer-Verlag London Limited 2011.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Springer Verlag
Journal:
Engineering with Computers
Issue Date:
3-Jun-2011
DOI:
10.1007/s00366-011-0223-0
Type:
Article
ISSN:
01770667
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNiemi, Anttien
dc.contributor.authorBabuška, Ivo M.en
dc.contributor.authorPitkäranta, Juhanien
dc.contributor.authorDemkowicz, Leszek F.en
dc.date.accessioned2015-08-03T09:04:48Zen
dc.date.available2015-08-03T09:04:48Zen
dc.date.issued2011-06-03en
dc.identifier.issn01770667en
dc.identifier.doi10.1007/s00366-011-0223-0en
dc.identifier.urihttp://hdl.handle.net/10754/561796en
dc.description.abstractWe perform finite element analysis of the so called Girkmann problem in structural mechanics. The problem involves an axially symmetric spherical shell stiffened with a foot ring and is approached (1) by using the axisymmetric formulation of linear elasticity theory and (2) by using a dimensionally reduced shell-ring model. In the first approach the problem is solved with a fully automatic hp-adaptive finite element solver whereas the classical h-version of the finite element method is used in the second approach. We study the convergence behaviour of the different numerical models and show that accurate stress resultants can be obtained with both models by using effective post-processing formulas. © Springer-Verlag London Limited 2011.en
dc.publisherSpringer Verlagen
dc.subjecthp-Adaptivityen
dc.subjectPost-processingen
dc.subjectShell elementsen
dc.subjectVerification and validationen
dc.titleFinite element analysis of the Girkmann problem using the modern hp-version and the classical h-versionen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalEngineering with Computersen
dc.contributor.institutionInstitute for Computational Engineering and Sciences (ICES), University of Texas at Austin, Austin, TX, United Statesen
dc.contributor.institutionDepartment of Mathematics and Systems Analysis, Aalto University School of Science and Technology, Espoo, Finlanden
kaust.authorNiemi, Anttien
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