A Finite Element Formulation for Fluid-Structure Interaction in Three-Dimensional Space

[+] Author and Article Information
R. F. Kulak

Reactor Analysis and Safety Division, Argonne National Laboratory, Argonne, Ill. 60439

J. Pressure Vessel Technol 103(2), 183-190 (May 01, 1981) (8 pages) doi:10.1115/1.3263385 History: Received February 09, 1981; Online November 05, 2009


In this paper a development is presented for a three-dimensional hexahedral hydrodynamic finite-element. Using trilinear shape functions and assuming a constant pressure field in each element, simple relations were obtained for internal nodal forces. Because the formulation was based upon a rate approach it was applicable to problems involving large displacements. This element was incorporated into an existing plate-shell finite element code. Diagonal mass matrices were used and the resulting discrete equations of motion were solved using an explicit temporal integrator. Results for several problems were presented which compare numerical predictions to closed form analytical solutions. In addition, the fluid-structure interaction problem of a fluid-filled, cylindrical vessel containing internal cylinders was studied. The internal cylinders were cantilever supported from the top cover of the vessel and were periodically located circumferentially at a fixed radius. A pressurized cylindrical cavity located at the bottom of the vessel at its centerline provided the loading.

Copyright © 1981 by ASME
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