Some applications of the WKB method to the wrinkling of bi-annular plates in tension

DOI10.1007/s00707-012-0761-6zbMath1401.74104OpenAlexW1965872441MaRDI QIDQ359499

Ciprian D. Coman

Publication date: 12 August 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-012-0761-6

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Bifurcation and buckling (74G60)

Related Items (8)

Singularities and wrinkling: the case of a concentrated force ⋮ Singular perturbations and torsional wrinkling in a truncated hemispherical thin elastic shell ⋮ Buckling-resistant thin annular plates in tension ⋮ Asymptotic approximations for pure bending of thin cylindrical shells ⋮ Tensile bifurcations in a truncated hemispherical thin elastic shell ⋮ Recursive formulation of the WKB solution for linear time-varying dynamic systems ⋮ On the asymptotic reduction of a bifurcation equation for edge-buckling instabilities ⋮ A Fourier based reduced model for wrinkling analysis of circular membranes

Uses Software

• AUTO

Cites Work

• Unnamed Item
• Elastic instabilities caused by stress concentration
• Localized wrinkling instabilities in radially stretched annular thin films
• Edge-buckling in stretched thin films under in-plane bending
• Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending
• On the wrinkling of a pre-stressed annular thin film in tension
• Buckling-resistant thin annular plates in tension
• On a class of buckling problems in a singularly perturbed domain
• Wrinkling of Pre-stressed Annular Thin Films under Azimuthal Shearing
• Buckling of multi-annular plates

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