<div class="csl-bib-body">
<div class="csl-entry">Dziubek, A., Karow, M., Neunteufel, M., & Hu, K. (2023, July 24). <i>Robust mixed methods for continuum mechanics, plates and shells</i> [Presentation]. Utica Fall Workshop 2023: Geometric Mechanics and Structure Preserving Discretizations of Shell Elasticity, New York, United States of America (the). http://hdl.handle.net/20.500.12708/190538</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190538
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dc.description.abstract
Continuum mechanic problems arise in a vast variety of technology in industry. Fast, robust, and reliable discretization methods are desirable to simulate elasticity applications. It is well-known that linear Lagrangian finite elements perform badly in several elasticity regimes and a huge amount of effort has been invested since decades developing improved procedures. In this talk we present mixed finite elements for (non-)linear elasticity including the tangential-displacement normal-normal-stress continuous (TDNNS) method by including the stress and strain fields as additional unknown fields, discretized by suitable matrix-valued elements. Their excellent performance in the nearly incompressible regime and for anisotropic structures is demonstrated and discussed.
Further, simple and locking-free plate and shell elements are proposed relying on mixed Hellan-Herrmann-Johnson and TDNNS methods. We present several numerical examples implemented in the open-source finite element software NGSolve (www.ngsolve.org).
en
dc.language.iso
en
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dc.subject
elasticity
en
dc.subject
shells
en
dc.subject
locking
en
dc.subject
mixed finite element method
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dc.title
Robust mixed methods for continuum mechanics, plates and shells
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dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
SUNY Polytechnic Institute, United States of America (the)
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dc.contributor.affiliation
University of Oxford, United Kingdom of Great Britain and Northern Ireland (the)
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dc.type.category
Presentation
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
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tuw.author.orcid
0000-0002-7276-8145
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tuw.author.orcid
0000-0002-3582-1488
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tuw.author.orcid
0000-0002-7039-387X
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tuw.event.name
Utica Fall Workshop 2023: Geometric Mechanics and Structure Preserving Discretizations of Shell Elasticity
en
tuw.event.startdate
17-07-2023
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tuw.event.enddate
28-07-2023
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
New York
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tuw.event.country
US
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tuw.event.institution
Department of Mathematics & Physics, SUNY Poly, Utica, NY
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tuw.event.presenter
Neunteufel, Michael
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.grantfulltext
restricted
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item.languageiso639-1
en
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item.openairetype
conference presentation
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item.cerifentitytype
Publications
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item.fulltext
no Fulltext
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item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
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crisitem.author.dept
SUNY Polytechnic Institute
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crisitem.author.dept
E101-03-1 - Forschungsgruppe Computational Mathematics in Engineering
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crisitem.author.dept
University of Oxford
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crisitem.author.orcid
0000-0002-7276-8145
-
crisitem.author.orcid
0000-0002-3582-1488
-
crisitem.author.orcid
0000-0002-7039-387X
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crisitem.author.parentorg
E101-03 - Forschungsbereich Scientific Computing and Modelling
