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 language | English |
---|---|
Pages (from-to) | 123-134 |
Number of pages | 12 |
Journal | ENGINEERING WITH COMPUTERS |
Volume | 28 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2012 |
MoE publication type | A1 Journal article-refereed |
Keywords
- hp-Adaptivity
- Post-processing
- Shell elements
- Verification and validation