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A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics

Schröder, Jörg ; Wick, Thomas ; Reese, Stefanie ; Wriggers, Peter ; Müller, Ralf ; Kollmannsberger, Stefan ; Kästner, Markus ; Schwarz, Alexander ; Igelbüscher, Maximilian ; Viebahn, Nils ; Bayat, Hamid Reza ; Wulfinghoff, Stephan ; Mang, Katrin ; Rank, Ernst ; Bog, Tino ; D’Angella, Davide ; Elhaddad, Mohamed ; Hennig, Paul ; Düster, Alexander ; Garhuom, Wadhah ; Hubrich, Simeon ; Walloth, Mirjam ; Wollner, Winnifried ; Kuhn, Charlotte ; Heister, Timo (2021)
A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics.
In: Archives of Computational Methods in Engineering, 28 (2)
doi: 10.1007/s11831-020-09477-3
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

In this contribution we provide benchmark problems in the field of computational solid mechanics. In detail, we address classical fields as elasticity, incompressibility, material interfaces, thin structures and plasticity at finite deformations. For this we describe explicit setups of the benchmarks and introduce the numerical schemes. For the computations the various participating groups use different (mixed) Galerkin finite element and isogeometric analysis formulations. Some programming codes are available open-source. The output is measured in terms of carefully designed quantities of interest that allow for a comparison of other models, discretizations, and implementations. Furthermore, computational robustness is shown in terms of mesh refinement studies. This paper presents benchmarks, which were developed within the Priority Programme of the German Research Foundation ‘SPP 1748 Reliable Simulation Techniques in Solid Mechanics—Development of NonStandard Discretisation Methods, Mechanical and Mathematical Analysis’.

Typ des Eintrags: Artikel
Erschienen: 2021
Autor(en): Schröder, Jörg ; Wick, Thomas ; Reese, Stefanie ; Wriggers, Peter ; Müller, Ralf ; Kollmannsberger, Stefan ; Kästner, Markus ; Schwarz, Alexander ; Igelbüscher, Maximilian ; Viebahn, Nils ; Bayat, Hamid Reza ; Wulfinghoff, Stephan ; Mang, Katrin ; Rank, Ernst ; Bog, Tino ; D’Angella, Davide ; Elhaddad, Mohamed ; Hennig, Paul ; Düster, Alexander ; Garhuom, Wadhah ; Hubrich, Simeon ; Walloth, Mirjam ; Wollner, Winnifried ; Kuhn, Charlotte ; Heister, Timo
Art des Eintrags: Bibliographie
Titel: A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
Sprache: Englisch
Publikationsjahr: 18 September 2021
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Archives of Computational Methods in Engineering
Jahrgang/Volume einer Zeitschrift: 28
(Heft-)Nummer: 2
DOI: 10.1007/s11831-020-09477-3
URL / URN: https://link.springer.com/10.1007/s11831-020-09477-3
Kurzbeschreibung (Abstract):

In this contribution we provide benchmark problems in the field of computational solid mechanics. In detail, we address classical fields as elasticity, incompressibility, material interfaces, thin structures and plasticity at finite deformations. For this we describe explicit setups of the benchmarks and introduce the numerical schemes. For the computations the various participating groups use different (mixed) Galerkin finite element and isogeometric analysis formulations. Some programming codes are available open-source. The output is measured in terms of carefully designed quantities of interest that allow for a comparison of other models, discretizations, and implementations. Furthermore, computational robustness is shown in terms of mesh refinement studies. This paper presents benchmarks, which were developed within the Priority Programme of the German Research Foundation ‘SPP 1748 Reliable Simulation Techniques in Solid Mechanics—Development of NonStandard Discretisation Methods, Mechanical and Mathematical Analysis’.

Fachbereich(e)/-gebiet(e): 13 Fachbereich Bau- und Umweltingenieurwissenschaften
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik
04 Fachbereich Mathematik
04 Fachbereich Mathematik > Optimierung
Hinterlegungsdatum: 04 Mär 2022 06:36
Letzte Änderung: 07 Mär 2022 09:42
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