A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
- verfasst von
- Jörg Schröder, Thomas Wick, Stefanie Reese, Peter Wriggers, Ralf Müller, Stefan Kollmannsberger, Markus Kästner, Alexander Schwarz, Maximilian Igelbüscher, Nils Viebahn, Hamid Reza Bayat, Stephan Wulfinghoff, Katrin Mang, Ernst Rank, Tino Bog, Davide D’Angella, Mohamed Elhaddad, Paul Hennig, Alexander Düster, Wadhah Garhuom, Simeon Hubrich, Mirjam Walloth, Winnifried Wollner, Charlotte Kuhn, Timo Heister
- 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 Non-Standard Discretisation Methods, Mechanical and Mathematical Analysis’.
- Organisationseinheit(en)
-
Institut für Angewandte Mathematik
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Universität Duisburg-Essen
Rheinisch-Westfälische Technische Hochschule Aachen (RWTH)
Technische Universität Kaiserslautern
Technische Universität Dresden
Christian-Albrechts-Universität zu Kiel (CAU)
Technische Universität Hamburg (TUHH)
Technische Universität Darmstadt
Universität Stuttgart
Clemson University
Technische Universität München (TUM)
- Typ
- Artikel
- Journal
- Archives of Computational Methods in Engineering
- Band
- 28
- Seiten
- 713-751
- Anzahl der Seiten
- 39
- ISSN
- 1134-3060
- Publikationsdatum
- 03.2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Angewandte Informatik, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/s11831-020-09477-3 (Zugang:
Offen)