Finite displacements of annular elastic membranes

DOI10.1007/BF00043581zbMath0585.73064MaRDI QIDQ1070874

Hubertus J. Weinitschke, Hans Grabmüller

Publication date: 1986

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

stress concentration factordisplacementsnormal surface loadsannular membrane problemAxisymmetric deformationscircular pseudo-membrane problemexistence and uniqueness of tensile solutionsFöppl nonlinear membrane theorynonvanishing tractionradial edge loadsreduce to the solution for the circular membrane

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stress concentrations, singularities in solid mechanics (74G70) Membranes (74K15) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (9)

Boundary layer solutions for some nonlinear elastic membrane problems ⋮ On shells of revolution with the Love-Kirchhoff hypotheses ⋮ On finite displacements of circular elastic membranes ⋮ Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations ⋮ 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 ⋮ Wrinkle-free solutions of circular membrane problems ⋮ Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions ⋮ Wrinkle-free solutions in the theory of curved circular membranes

Cites Work

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• The plane circular elastic surface under normal pressure
• Non-linear boundary values problems for the circular membrane
• On finite displacements of circular elastic membranes
• Non-linear boundary value problems for the annular membrane: New results on existence of positive solutions
• Membrane buckling: A study of solution multiplicity

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