Torsional boundary layer effects in shells of revolution undergoing large axisymmetric deformation

F. C. Su, L. A. Taber

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Numerical and asymptotic solutions are developed to the equations governing large torsional, axisymmetric deformation of rubberlike shells of revolution. The shell equations include large-strain geometric and material nonlinearities, transverse shear deformation, transverse normal stress and strain, and torsion. Both analyses allow ready incorporation of different strain-energy density functions. In the asymptotic analysis, the interior solution corresponds to that of nonlinear membrane theory and contains a primary boundary layer. The edge-zone solution gives a secondary boundary layer that, for large strain, divides into a bending-twisting moment component and a torsional-membrane component. The boundary layer behavior is illustrated for a clamped neo-Hookean cylinder subjected to internal pressure and axial torque.

Original languageEnglish
Pages (from-to)23-37
Number of pages15
JournalComputational Mechanics
Volume10
Issue number1
DOIs
Publication statusPublished - 1992 Jan 1

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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