Error Estimates for a Simplified Reissner Theory of Plate Bending
A simplified Reissner theory for plate bending is dealt with in which transverse displacement occurs as the single unknown variable. The two-dimensional theory used in conjunction with the plane stress theory serves to construct three-dimensional fields whose relative mean square error, under so-called „regular" edge conditions, is shown to be of order of the plate thickness cubed with respect to elasticity solutions.
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