粘性流体を含む多層多孔質軸対称殻の動的応力と変形

概要

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This paper describes an analytical formulation and a numerical solution of the dynamic problems of multi-layered porous shells of revolution saturated in viscous fluid. Each layer has different porosity and void diameter. The equations of motion and the relations between the strains and displacements are derived by extending the Sanders elastic shell theory. As the constitutive relations, the consolidation theory of Biot for models of fluid-solid mixtures is employed. The flow of viscous fluid through a porous elastic solid is governed by Darcy's law. On the boundary surface of each layer, it is assumed that there is no flow resistance and the fluid pressure and the fluid flow are continuous. The fluid flow equations and deformation equations of shells are numerically solved using the finite difference method. As a numerical example, the simply supported three-layered truncated conical shell under a semi-sinusoidal internal load with respect to time is analyzed. Numerical computations are carried out by changing porosity and mean void diameter of each layer, and the variations of pore pressure, displacements and internal forces with time are discussed.
一般社団法人日本機械学会の論文
2002-02-25