An asymptotic analysis of the buckling of a highly shear-resistant vesicle

DOI10.1017/S0956792509990015zbMath1406.74257OpenAlexW2104695500MaRDI QIDQ3652631

Giles Richardson, Sylvain Reboux, Oliver E. Jensen

Publication date: 15 December 2009

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792509990015

zbMATH Keywords

bendingthin-shell theorystretchingsixth-order free-boundary problemsub-critical buckling

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60) Shells (74K25)

Related Items (1)

Buckling of a growing tissue and the emergence of two-dimensional patterns

Cites Work

• An investigation of the complete post-buckling behavior of axisymmetric spherical shells
• On large axisymmetrical deflection states of spherical shells
• Solution space of axisymmetric capsules enclosed by elastic membranes
• Experimental and theoretical studies on buckling of thin spherical shells under axial loads
• Stress focusing in elastic sheets
• Finite Polar Dimpling of Shallow Caps Under Sub-Buckling Axisymmetric Pressure Distributions
• A comparison of the postbuckling behavior of plates and shells
• A Thick Hollow Sphere Compressed by Equal and Opposite Concentrated Axial Loads: An Asymptotic Solution
• Buckling of an axisymmetric vesicle under compression: the effects of resistance to shear
• Analysis of large deflection equilibrium states of composite shells of revolution. I: General model and singular perturbation analysis. II: Applications and numerical results

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