Load-deflection curves with limit loads, bifurcation points and post-bifurcation equilibrium curves of fluid-filled prestretched cylindrical membranes of two slenderness ratios, L/A, and three values of axial prestretch, delta

From the same paper as the previous image.

L = length of the cylindrical membrane after prestretching (See the previous image)
A = radius of the cylindrical membrane
H = original thickness of the membrane
z-sub-w = level of the fluid (representative load parameter)
delta = axial prestretch parameter (See the previous image)
rho = fluid density
R-sub-mid = radial displacement at node (m+2)/2 is the representative displacement quantity

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