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Transverse shear oscillations in four-node quadrilateral plate elements. (English) Zbl 0624.73089
Numerical results show that the transverse shears are free of oscillation for regular or quasi-regular meshes of four-node elements based on Mindlin-Reissner theory. However, even small perturbations of these meshes can introduce severe oscillations throughout the mesh. These findings apply to the underintegrated elements with and without stabilization and to the fully integrated elements which use assumed shear strains. A filtering procedure capable of recovering improved shears is presented.

74S05 Finite element methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74K20 Plates
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