Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes
DOI10.1017/S0956792500000863zbMath0761.73058OpenAlexW2013087397MaRDI QIDQ4016211
Hans Grabmüller, Robert Pirner
Publication date: 9 December 1992
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792500000863
small strainsnon- existenceReissner's theorystrictly positive solutionslarge deflections and rotations
Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20) Plates (74K20) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)
Related Items (4)
Cites Work
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- Wrinkle-free solutions in the theory of annular elastic membranes
- Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution
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- Non-linear boundary value problems for the annular membrane: New results on existence of positive solutions
- A Singular Nonlinear Boundary Value Problem: Membrane Response of a Spherical Cap
- Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations
- Stable and Unstable Axisymmetric Solutions for Membranes of Revolution
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