Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version

Antti Niemi, Ivo M. Babuška, Juhani Pitkäranta, Leszek F. Demkowicz

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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.
Original languageEnglish (US)
Pages (from-to)123-134
Number of pages12
JournalEngineering with Computers
Volume28
Issue number2
DOIs
StatePublished - Jun 3 2011

ASJC Scopus subject areas

  • Modeling and Simulation
  • Software
  • Engineering(all)
  • Computer Science Applications

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