TITLE

MODELING OF THE EIGENFIELD OF A PRESTRESSED HYPERELASTIC MEMBRANE ENCAPSULATING A LIQUID

AUTHOR(S)
Gavrilyuk, I. P.; Hermann, M.; Timokha, A.; Trotsenko, V.
PUB. DATE
October 2006
SOURCE
Computational Methods in Applied Mathematics;2006, Vol. 6 Issue 4, p367
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A spectral boundary problem on the eigenfield of an inflated/deflated stretched circular membrane, which is clamped to a circular cylindrical cavity filled with a liquid, is examined. The paper presents an operator formulation of the problem and proposes a new semi-analytical approximate method. The method captures singular behavior of the solution in the pole and at the fastening contour of the membrane.
ACCESSION #
23795874

 

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