Abstract
The Reissner variational principle which can be derived by applying constraint conditions to the potential or complementary energy principles is characterized by the use of both displacements and stresses as field variables. For the formulation of finite element mixed models there exists a large number of versions for this principle. The reasons are (1) the possibility of relaxed continuity conditions along the interelement boundary by the use of the Lagrange multiplier methods and (2) a derivation from the potential energy principle by applying conditions of constraint to only portions of strain energy. This paper is to review the various versions of Reissner's principle, to identify the corresponding finite element models and to point out their special advantages. A survey of finite element mixed models for plate and shell analysis is included.
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