Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version
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2011-06-03Online Publication Date
2011-06-03Print Publication Date
2012-04Permanent link to this record
http://hdl.handle.net/10754/561796
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We perform finite element analysis of the so called Girkmann problem in structural mechanics. The problem involves an axially symmetric spherical shell stiffened with a foot ring and is approached (1) by using the axisymmetric formulation of linear elasticity theory and (2) by using a dimensionally reduced shell-ring model. In the first approach the problem is solved with a fully automatic hp-adaptive finite element solver whereas the classical h-version of the finite element method is used in the second approach. We study the convergence behaviour of the different numerical models and show that accurate stress resultants can be obtained with both models by using effective post-processing formulas. © Springer-Verlag London Limited 2011.Citation
Niemi, A. H., Babuška, I., Pitkäranta, J., & Demkowicz, L. (2011). Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version. Engineering with Computers, 28(2), 123–134. doi:10.1007/s00366-011-0223-0Publisher
Springer NatureJournal
Engineering with Computersae974a485f413a2113503eed53cd6c53
10.1007/s00366-011-0223-0