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Boundary Value Problems for Partial Differential Equations and Applications, J.-L. Lions and C. Baiocchi, eds., Masson, 1993, pp. 287292.
 

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.
Introduction
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:

  

Source: Arnold, Douglas N. - School of Mathematics, University of Minnesota

 

Collections: Mathematics