Publisher DOI: 10.1007/s11831-020-09477-3
Title: A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
Language: English
Authors: 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 
Issue Date: 2020
Source: Archives of Computational Methods in Engineering (in Press): (2020)
Journal or Series Name: Archives of computational methods in engineering 
Abstract (english): 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’.
ISSN: 1134-3060
Institute: Konstruktion und Festigkeit von Schiffen M-10 
Type: (wissenschaftlicher) Artikel
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