Dynamic Response of Poroelastic Moderately Thick Shells of Revolution Saturated in Viscous Fluid

Abstract

This paper describes an analytical formulation and a numerical solution of the elastic dynamic problems of fluid-saturated porous moderately thick shells of revolution. The equations of motion and relations between the strains and displacements are derived from the Reissner-Naghdi shell theory. As the constitutive relations, the consolidation theory of Biot for models of fluid-solid mixtures is employed. The fundamental equations derived are numerically solved by the finite difference method. As a numerical example, the simply supported cylindrical shell under a semi-sinusoidal internal load with respect to time is analyzed, and the variations of pore pressure, displacements and internal forces with time are discussed.