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A simplified version of Reissner's nonlinear equations for a first- approximation theory of shells of revolution

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Publication:1820005
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zbMath0614.73068MaRDI QIDQ1820005

Avinoam Libai, James G. Simmonds

Publication date: 1987

Published in: Computational Mechanics (Search for Journal in Brave)


zbMATH Keywords

small strainsthin shells of revolutionarbitrarily large rotationscoupled pair of equations for the meridional angle of rotation and a stress functionfirst-approximation theoryquadratic strain- energy densitysimplified Reissner equations


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)


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Boundary layer solutions for some nonlinear elastic membrane problems, Nonlinear bending of corrugated diaphragm with large boundary corrugation under compound load, Unnamed Item, Asymptotic forms of a simplified version of the nonlinear Reissner equations for clamped elastic spherical caps under outward pressure, Wrinkle-free solutions in the theory of annular elastic membranes, A finite element scheme based on the simplified Reissner equations for shells of revolution, On finite axi-symmetrical deformations of thin elastic shells of revolution, Wrinkle-free solutions in the theory of curved circular membranes



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