TY - JOUR
T1 - On the accuracy of p-version elements for the Reissner-Mindlin plate problem
AU - Rank, Ernst
AU - Krause, Roland
AU - Preusch, Karin
PY - 1998/9/15
Y1 - 1998/9/15
N2 - This paper addresses the question of accuracy of p-version finite element formulations for Reissner-Mindlin plate problems. Three model problems, a circular arc, a rhombic plate and a geometrically complex structure are investigated. Whereas displacements and bending moments turn out to be very accurate without any post-processing even for very coarse meshes, the quality of shear forces computed from constitutive equations is poor. It is shown that significantly improved results can be obtained, if shear forces are computed from equilibrium equations instead. A consistent computation of second derivatives of the shape functions is derived.
AB - This paper addresses the question of accuracy of p-version finite element formulations for Reissner-Mindlin plate problems. Three model problems, a circular arc, a rhombic plate and a geometrically complex structure are investigated. Whereas displacements and bending moments turn out to be very accurate without any post-processing even for very coarse meshes, the quality of shear forces computed from constitutive equations is poor. It is shown that significantly improved results can be obtained, if shear forces are computed from equilibrium equations instead. A consistent computation of second derivatives of the shape functions is derived.
KW - Reissner-Mindlin plates
KW - Shear force computation
KW - p-version
UR - http://www.scopus.com/inward/record.url?scp=0032163106&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19980915)43:1<51::AID-NME382>3.0.CO;2-T
DO - 10.1002/(SICI)1097-0207(19980915)43:1<51::AID-NME382>3.0.CO;2-T
M3 - Article
AN - SCOPUS:0032163106
SN - 0029-5981
VL - 43
SP - 51
EP - 67
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 1
ER -