Finite Polar Dimpling of Shallow Caps Under Sub-Buckling Axisymmetric Pressure Distributions

DOI10.1137/0144022zbMath0535.73034OpenAlexW2006387074MaRDI QIDQ3319862

D. F. Parker, Frederic Y. M. Wan

Publication date: 1984

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0144022

zbMATH Keywords

matched asymptotic expansionslower boundinterior layersaxisymmetric external pressure distributionfinite polar dimplingmethod of inner-outer (asymptotic) expansionsquadratically varying pressure distributionshallow capssub-buckling

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Membranes (74K15)

Related Items (4)

Slowly Varying Phase Planes and Boundary-Layer Theory ⋮ On shells of revolution with the Love-Kirchhoff hypotheses ⋮ An asymptotic analysis of the buckling of a highly shear-resistant vesicle ⋮ Asymmetric dynamic instability of axisymmetric polar dimpling of thin shallow spherical shells

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