In fluid-structure interaction problems, many studies are done by linear formulations. But severe loading may cause cavitation that shows nonlinear behavior. In handling cavitation phenomena, a displacement potential was introduced or density was used as the variable. Each method loses the conservation of liquid volume that is vital for liquid-filled tanks; mesh size should be the scales of cavitation. This paper proposes a simple method based on Lagrange multiplier method. A numerical example is shown for a one-dimensional problem together with a comparison to an experimental result.

1.
Newton, R. E., 1980, “Finite Element Study of Shock Induced Cavitation,” ASCE Spring Convention, Portland, OR.
2.
Newton, R. E., 1979, “Effects of Cavitation on Underwater Shock Loading—Plane Problem, Part 2,” NPS69-79-007PR, Naval Postgraduate School, Monterey, CA.
3.
Newton, R. E., 1978, “Effects of Cavitation on Underwater Shock Loading—Axisymmetric Geometry,” NPS69-78-017PR, Naval Postgraduate School, Monterey, CA.
4.
Sandberg
G.
,
1995
, “
A New Finite Element Formulation of Shock-Induced Hull Cavitation
,”
Computation Methods and Applied Mechanics
, Vol.
120
, pp.
33
44
.
5.
Zienkiewicz
O. C.
,
Paul
D. K.
, and
Hinton
E.
,
1983
, “
Cavitation in Fluid-Structure Response (With Particular Reference to Dam Under Earthquake Loading)
,”
Earthquake Engineering and Structural Dynamics
, Vol.
11
, pp.
463
481
.
This content is only available via PDF.
You do not currently have access to this content.