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http://dx.doi.org/10.12941/jksiam.2013.17.181

ANALYTIC APPROACH FOR THE STUDY OF AIR AND/OR LIQUID FILLED GEOMEMBRANE TUBE SECTIONS ON A HORIZONTAL  

Choi, Yoon-Rak (SCHOOL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING, UNIVERSITY OF ULSAN)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.17, no.3, 2013 , pp. 181-195 More about this Journal
Abstract
This study considers an air and liquid-filled geomembrane tube section resting on a horizontal foundation. All quantities are normalized to obtain geometrically similar solutions in the static equilibrium condition. Analytic solutions are expressed in closed form. The solution for the air or liquid-filled tube section is derived systematically as an extreme case of the air and liquid-filled tube section. The validity of these solutions is confirmed by comparing to previous study, and some results are shown for the characteristic parameters and shapes of air and/or liquid-filled cases. Using the result of present study, one can estimate the shape and characteristic parameters of a tube section without numerical integrations or iterations.
Keywords
Geomembrane tube section; Static equilibrium; Analytic solution; Matching two solutions;
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