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In this work deformed shapes and volumes of liquid-filled packages made with flexible barrier materials that follow neo-Hookean and Mooney-Rivlin constitutive equations are determined analytically. The theory of large elastic deformations as applied to the axisymmetric membrane structures is used in the analysis. The strength and thickness of the flexible sheet and the hydrostatic pressure variation inside the package are considered in predicting the deformed shapes and volumes. Space requirements for stacking one liquid-filled flexible package over another are also calculated. The governing equations, which are nonlinear ordinary differential-integral types, are solved numerically on a digital computer. The solution suggests applications to more efficient storage and transportation of liquids in flexible containers.
flexibility, barrier materials, packaging, deformation, elastic properties, liquids, analytic functions
Associate professor of engineering mechanics, Missouri-Rolla, Rolla, Mo.