Abstract
The object of this paper is to formurate for the dynamic behavior of an elastic shell due to viscous flow surrounding it. The motion of viscous fluids is governed by the Navier-Stokes equation and the continuous equation of pressure expression. Analysis of the dynamic behavior of an elastic shell due to viscous flows is treated as viscous fluid-elastic shell interaction through the interface boundary on which continuity of mechanical action is required. The stresses acting on the elastic shell are pressure and viscous stresses. Especially, the terms of rate-of-deformation tensor in viscous stresses on the interface boundary are expressed by velocity components of an elastic shell in our formulation. By our formulation, analysis of the dynamic behavior of an elastic shell due to viscous flows is possible. The flow patterns around an elastic shell are made clear. For the numerical solution procedure of our coupled problem, finite element formulations based on the weighted residual method are achieved. Appling our methodology to the viscous fluid-elastic cylindrical shell interaction problem as a simple one, we obtain numerically some flow patterns around a circular cylindrical shell structure and the dynamic behavior of it.
