Pressurising a prestretched membrane to form a paraboloid

DOI10.1016/0020-7225(80)90009-9zbMath0423.73033OpenAlexW1986486412MaRDI QIDQ1134556

Henry Vaughan

Publication date: 1980

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(80)90009-9

zbMATH Keywords

series solutionvariable thicknessparaboloid of revolutionflat rubber membraneinflated membraneone ordinary non-linear differential equationstretched

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Membranes (74K15) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (2)

Inflation mechanics of a membrane reflector supported by an inflated toroidal rim ⋮ Analytical pressure-deflection curves for the inflation of pre-stretched circular membranes

Cites Work

• Unnamed Item
• Large elastic deformations of thin rubber membranes
• Finite axisymmetric deformations of elastic membranes
• The mechanics of rubber elasticity
• The Static Theory of Finite Elasticity
• Large elastic deformations of isotropic materials IX. The deformation of thin shells

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