Postprocess method using displacement field of higher order laminated composite plate theory

Simplified higher order plate theories satisfy the transverse shear stress continuity conditions as well as the kinematic continuity conditions. Thus, they provide realistic displacement fields with the small number of dependent variables. These theories require tedious computations, however, since their in-plane displacement field is more complicated than the first-order shear theory. In this study, a simple and economical method is proposed without loss of accuracy of solutions. This method consists of two steps. First is to obtain the relationship between rotational angles of first order shear deformation plate theory (FOPT) and efficient higher order plate theory (EHOPT). Second is to obtain accurate displacement and stress fields from the first-order shear deformation plate theory solution by using EHOPT displacement fields as a postprocessor. Cylindrical bending problems demonstrate economical and accurate solution of laminated composite plates provided by the present method.

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