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Zbl 0644.73061
Dickey, R.W.
Membrane caps under hydrostatic pressure. (English)
[J] Q. Appl. Math. 46, No.1, 95-104 (1988). ISSN 0033-569X; ISSN 1552-4485/e

It is shown that the exact nonlinear theory for a rotationally symmetric membrane cap deformed by hydrostatic pressure is statically determinant. A small strain theory is obtaind without any assumptions on the relative magnitudes of the displacements. This small strain theory can be reduced to a single second-order ordinary differential equation for the determination of the radial stress. A linear shallow cap theory is obtained and solved explicitly for the case of the shallow spherical cap.

MSC 2000:: *74K15 Membranes
74B20 Nonlinear elasticity

Keywords: rotationally symmetric membrane cap; hydrostatic pressure; small strain theory; single second-order ordinary differential equation; radial stress

Citations: Zbl 0627.73070; Zbl 0644.73062

Cited in: Zbl 0683.73022 Zbl 0644.73062

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