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Numerical Method for Saint -Venant Torsion Problem with Arbitrary Cross-Sections

Dang-Bao Tran, Jaroslav Navratil, Martin Cermak
Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series
2020, Volume 20, Issue 2, Pages 40-46
Doi: 10.35181/tces-2020-0016
A numerical method solving the Saint-Venant torsion problem with arbitrary cross-sections was derived by Gruttmann in 1999. The numerical method is validated by analyzing two examples with two mesh types: uniform and non-uniform; excellent accuracy was obtained compared to analytical solutions. Further, the comparison between three elements: LINQUAD, QUAD8NOD, and QUAD9NOD to choose the appropriate element for the numerical method was performed. The conclusion drawn is that our numerical method with QUAD8NOD and QUAD9NOD elements is suitable for Saint-Venant torsion problem.
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