TY - JOUR
T1 - A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
AU - Schröder, Jörg
AU - Wick, Thomas
AU - Reese, Stefanie
AU - Wriggers, Peter
AU - Müller, Ralf
AU - Kollmannsberger, Stefan
AU - Kästner, Markus
AU - Schwarz, Alexander
AU - Igelbüscher, Maximilian
AU - Viebahn, Nils
AU - Bayat, Hamid Reza
AU - Wulfinghoff, Stephan
AU - Mang, Katrin
AU - Rank, Ernst
AU - Bog, Tino
AU - D’Angella, Davide
AU - Elhaddad, Mohamed
AU - Hennig, Paul
AU - Düster, Alexander
AU - Garhuom, Wadhah
AU - Hubrich, Simeon
AU - Walloth, Mirjam
AU - Wollner, Winnifried
AU - Kuhn, Charlotte
AU - Heister, Timo
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2021/3
Y1 - 2021/3
N2 - 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’.
AB - 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’.
UR - http://www.scopus.com/inward/record.url?scp=85091172505&partnerID=8YFLogxK
U2 - 10.1007/s11831-020-09477-3
DO - 10.1007/s11831-020-09477-3
M3 - Article
AN - SCOPUS:85091172505
SN - 1134-3060
VL - 28
SP - 713
EP - 751
JO - Archives of Computational Methods in Engineering
JF - Archives of Computational Methods in Engineering
IS - 2
ER -