Higher-order asymptotic result for the wrinkling of an everted Varga spherical shell

DOI10.1007/s00033-014-0472-zzbMath1330.74124OpenAlexW2045181267MaRDI QIDQ493595

N. Abdolalian, M. Sanjaranipour

Publication date: 3 September 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-014-0472-z

zbMATH Keywords

WKB methodsphericalincompressiblecompound matrix methodeversionVarga material

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Shells (74K25)

Related Items

WKB analysis of the bifurcation for a three-dimensional neo-Hookean cylindrical tube under restricted compression, Evaluation of the buckling modes of a rotating neo-Hookean cylinder by WKB method

Uses Software

• Mathematica

Cites Work

• Some asymptotic results concerning the buckling of a spherical shell of arbitrary thickness
• On the eversion of incompressible elastic spherical shells
• Asymptotic bifurcation results for the eversion of elastic shells
• Asymptotic analysis of the eversion of nonlinearly elastic shells. II: Incompressible shells
• Another approach of WKB method for the stability analysis of the bending of an elastic rubber block
• Stability of thick spherical shells
• WKB Method with Repeated Roots and Its Application to the Buckling Analysis of an Everted Cylindrical Tube
• Asymptotic results for bifurcations in pure bending of rubber blocks
• A WKB Analysis of the Buckling of an Everted Neo-Hookean Cylindrical Tube
• A WKB analysis of the buckling condition for a cylindrical shell of arbitrary thickness subjected to an external pressure
• Inversion of a perfectly elastic spherical shell