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A Thick Hollow Sphere Compressed by Equal and Opposite Concentrated Axial Loads: An Asymptotic Solution - MaRDI portal

A Thick Hollow Sphere Compressed by Equal and Opposite Concentrated Axial Loads: An Asymptotic Solution

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Publication:4258443

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DOI10.1137/S0036139997315738zbMath0945.74047MaRDI QIDQ4258443

Frederic Y. M. Wan, Thomas I. Milac, R. Douglas Gregory

Publication date: 13 September 1999

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

zbMATH Keywords

eigenfunctions thin shell theory stressed state second-order asymptotic approximation biorthogonality relations homogeneous isotropic linearly elastic hollow sphere membrane component opposite concentrated loads Reissner-Wan theory Saint-Venant component stress splitting

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items (3)

The analytical solutions for the stress distributions within elastic hollow spheres under the diametrical point loads ⋮ An analytical solution for the stress distribution within a spherically isotropic hollow sphere under diametrical compression ⋮ An asymptotic analysis of the buckling of a highly shear-resistant vesicle

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