TY - JOUR
T1 - Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version
AU - Niemi, Antti
AU - Babuška, Ivo M.
AU - Pitkäranta, Juhani
AU - Demkowicz, Leszek F.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2011/6/3
Y1 - 2011/6/3
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/561796
UR - http://link.springer.com/10.1007/s00366-011-0223-0
UR - http://www.scopus.com/inward/record.url?scp=84862006383&partnerID=8YFLogxK
U2 - 10.1007/s00366-011-0223-0
DO - 10.1007/s00366-011-0223-0
M3 - Article
VL - 28
SP - 123
EP - 134
JO - Engineering with Computers
JF - Engineering with Computers
SN - 0177-0667
IS - 2
ER -