Title: Locking Free Discontinuous Galerkin Methods for the Reissner-Mindlin Plate Without Reduced Integration


			    Richard S. Falk
                Department of Mathematics - Hill Center
              Rutgers, The State University Of New Jersey
	               Piscataway, NJ 08854-8019
                     Email: falk@math.rutgers.edu
              Web page: http://www.math.rutgers.edu/~falk/


Abstract:
The Reissner-Mindlin plate model seeks to determine a transverse
displacement and rotation vector minimizing a given energy functional.
Standard finite element approximation schemes for this model can suffer from
''locking,'' a phenomena due to the relationship of the approximating finite
element spaces, which causes poor approximation for thin plates. To avoid this
problem, most successful finite element schemes replace the shear energy term
by a modified shear energy, in which the rotation vector is interpolated into
an additional finite element space, a technique sometimes known as reduced
integration. In this talk, we show how discontinuous Galerkin methodology can
be used to produce simple approximation schemes without introducing the
interpolation operator or the additional finite element space.