Summary: Boundary Value Problems for Partial Differential Equations and Applications,
J.-L. Lions and C. Baiocchi, eds., Masson, 1993, pp. 287292.
Some New Elements for the
ReissnerMindlin Plate Model
Douglas N. Arnold ()
- Franco Brezzi ()
Department of Mathematics, Penn State University.
Supported by NSF grant DMS-9205300.
Istituto di Analisi Numerica del C.N.R., 27100 Pavia, Italy.
In this work-in-progress we report on a new approach to obtaining stable
locking-free discretizations of the ReissnerMindlin plate model. For a plate
of thickness t with midplane section R2
the clamped ReissnerMindlin
plate model determines , the transverse displacement of the midplane, and
, the rotation of fibers normal to the midplane, as the unique minimizer
over °H1() × °H1
() of the energy functional: