Dynamic Analysis of Incompressible Viscous Liquids

[+] Author and Article Information
G. R. Johnson

Defense Systems Division, Honeywell Inc., Hopkins, Minn. 55343

J. Appl. Mech 46(2), 281-284 (Jun 01, 1979) (4 pages) doi:10.1115/1.3424542 History: Received November 01, 1978; Revised January 01, 1979; Online July 12, 2010


A Lagrangian finite-element analysis technique is presented for two-dimensional plane strain problems involving time-dependent incompressible flow of viscous liquids. The incompressibility feature is obtained with an iterative procedure which adjusts the nodal velocities until the anticipated volumetric strains are within specified limits. By eliminating the compressibility, it is possible to determine the integration time increment from the rate of distortion, rather than the sound speed transit time, as is required with various numerical methods involving wave propagation in compressible materials. This paper includes the formulation of the numerical method and illustrative examples.

Copyright © 1979 by ASME
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