STATIC AND DYNAMIC SOLUTION OF GENERAL HIGHER-ORDER PLATE THEORY ASSUMING DISPLACEMENTS AND OUT-OF-PLATE STRESSES : Formulation of theory based on the Hu-Washizu basis

Abstract

The mixed assumption theory can propose static and dynamic theory which satisfy the boundary conditions of upper and lower surfaces of the plate. In this paper, we formulate general higher-order theory of plates under assumption of displacement and stress components of the plate thickness distribution by using the dynamic variation principle of the mixing type which made specialized the basis of Hu-Washizu. This equation was examined through static and dynamic solution example, and as well was studied the influence given to the solution precision if it satisfies or not boundary condition of upper and lower surfaces of the plate.