E. Rank et al., ON THE ACCURACY OF P-VERSION ELEMENTS FOR THE REISSNER-MINDLIN PLATE PROBLEM, International journal for numerical methods in engineering, 43(1), 1998, pp. 51-67
This paper addresses the question of accuracy of p-version finite elem
ent formulations for Reissner-Mindlin plate problems. Three model prob
lems, a circular arc, a rhombic plate and a geometrically complex stru
cture are investigated. Whereas displacements and bending moments turn
out to be very accurate without any postprocessing even for very coar
se meshes, the quality of sheer forces computed from constitutive equa
tions is poor. It is shown that significantly improved results can be
obtained, if shear forces are computed from equilibrium equations inst
ead. A consistent computation of second derivatives of the shape funct
ions is derived. (C) 1998 John Wiley & Sons, Ltd.