P. Boisse et S. Perrin, ERROR CALCULATION IN THE CONSTITUTIVE REL ATION FOR C-0 PLATE FINITE-ELEMENT ANALYSES, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 320(6), 1995, pp. 289-294
An extension of the concept of error iii the constitutive relation is
proposed in the case of Mindlin plate finite element computations. In
a first stage, loads and momentum densities in equilibrium are calcula
ted on each element edge as the sum of densities derived from the fini
te element solution and densities with a resultant equal to zero on ea
ch edge. Then, the statically admissible stress resultants are determi
ned within each element. Both of the two stages allow an optimization
of tile statically admissible fields in order to obtain a more accurat
e error.