Abstract
A brief review of multifield variational principles for the formulation of finite element methods in solid mechanics and an account of the evolution of hybrid/mixed finite element methods are presented first. Discussions of recent applications of the hybrid/mixed finite element methods include: (1) formulation of Loof and semi-Loof elements, (2) special elements based on a priori satisfaction of equilibrium and compatibility conditions, (3) analysis of heterogeneous materials with randomly distributed microstructures and (4) finite element and 3-D finite strip analyses of free edge problems in laminated composites.
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