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J. Arango, H. Grabmüller, A. Meissner (1998)
Curved annular elastic membranes under partially vanishing surface loadZeitschrift für angewandte Mathematik und Physik ZAMP, 49
E. Reissner (1950)
On axisymmetrical deformation of thin shells of revolution
D. Steigmann (1986)
Proof of a Conjecture in Elastic Membrane TheoryJournal of Applied Mechanics, 53
D.J. Steigmann (1986)
Proof of a conjecture in elastic membrane theoryASME J. Appl. Mech., 53
A. Libai, J. Simmonds, J. Sanders (1988)
The Nonlinear Theory of Elastic Shells: One Spatial Dimension
J. Arango, H. Grabmüller (1997)
Wrinkle-free deformation of curved circular elastic membranes with an unloaded apexComm. Appl. Analysis, 1
J.J. Stoker (1968)
Nonlinear Elasticity
This paper investigates the existence and uniqueness of solutions of some boundary value problems modeling the deformation of a membrane of revolution under a partially vanishing normal load. The frame of the membrane models we deal with is the Reissner theory of thin shells of revolution, in which strain-displacement relations are nonlinear, although it assumes a linear stress-strain relation.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Feb 16, 2005
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