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

Antti H. Niemi*, Ivo Babuška, Juhani Pitkäranta, Leszek Demkowicz

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)123-134
Number of pages12
JournalENGINEERING WITH COMPUTERS
Volume28
Issue number2
DOIs
Publication statusPublished - Apr 2012
MoE publication typeA1 Journal article-refereed

Keywords

  • hp-Adaptivity
  • Post-processing
  • Shell elements
  • Verification and validation

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