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Schröder, Jörg [Author]; Wick, Thomas [Author]; Reese, Stefanie [Author]; Wriggers, Peter [Author]; Müller, Ralf [Author]; Kollmannsberger, Stefan [Author]; Kästner, Markus [Author]; Schwarz, Alexander [Author]; Igelbüscher, Maximilian [Author]; Viebahn, Nils [Author]; Bayat, Hamid Reza [Author]; Wulfinghoff, Stephan [Author]; Mang, Katrin [Author]; Rank, Ernst [Author]; Bog, Tino [Author]; D’Angella, Davide [Author]; Elhaddad, Mohamed [Author]; Hennig, Paul [Author]; Düster, Alexander [Author]; Garhuom, Wadhah [Author]; Hubrich, Simeon [Author]; Walloth, Mirjam [Author]; Wollner, Winnifried [Author]; Kuhn, Charlotte [Author];

A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics - [published Version]

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  • Media type: Text; E-Article
  • Title: A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
  • Contributor: Schröder, Jörg [Author]; Wick, Thomas [Author]; Reese, Stefanie [Author]; Wriggers, Peter [Author]; Müller, Ralf [Author]; Kollmannsberger, Stefan [Author]; Kästner, Markus [Author]; Schwarz, Alexander [Author]; Igelbüscher, Maximilian [Author]; Viebahn, Nils [Author]; Bayat, Hamid Reza [Author]; Wulfinghoff, Stephan [Author]; Mang, Katrin [Author]; Rank, Ernst [Author]; Bog, Tino [Author]; D’Angella, Davide [Author]; Elhaddad, Mohamed [Author]; Hennig, Paul [Author]; Düster, Alexander [Author]; Garhuom, Wadhah [Author]; Hubrich, Simeon [Author]; Walloth, Mirjam [Author]; Wollner, Winnifried [Author]; Kuhn, Charlotte [Author];
  • imprint: Berlin [u.a.] : Springer, 2020
  • Published in: Archives of Computational Methods in Engineering 28 (2020), Nr. 2
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.15488/10617; https://doi.org/10.1007/s11831-020-09477-3
  • ISSN: 1134-3060
  • Keywords: isogeometric analysis ; benchmark problems ; Galerkin finite element ; computational solid mechanics ; mechanical and mathematical analysis ; material interfaces
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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’. © 2020, The Author(s).
  • Access State: Open Access
  • Rights information: Attribution (CC BY)