Finite deformation of a circular elastic membrane containing a concentric rigid inclusion

DOI10.1016/0020-7462(87)90049-7zbMath0605.73032OpenAlexW2035992537MaRDI QIDQ1083898

Lewis T. Wheeler, L. Graux, Tayfun E. Tezduyar

Publication date: 1987

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(87)90049-7

zbMATH Keywords

rigid inclusionnegative valueswrinklesnonlinear boundary-value problemtransverse deflectionsaxisymmetric responsedramatic change in featureshourglass profile without wrinklinginitially flat annular membranelarge enough loadsneo-Hookean typenonlinear system of first-order differential equationsparameter vanishespositive valuespredictor/multi-corrector integration methodsufficiently high loadsvariations in one of the two Mooney-Rivlin parameters

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Membranes (74K15)

Related Items (3)

Linearly elastic annular and circular membranes under radial, transverse, and torsional loading. I: Large unwrinkled axisymmetric deformations ⋮ Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions ⋮ Deflections of a rubber membrane

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