Existence of equilibrium states of hollow Hollomon cylinders submerged in a fluid

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Abstract

This paper is concerned with the existence of equilibrium states of a thin-walled hollow elasto-plastic cylinders fully or partially submerged in a fluid. This problem serves as a model for many problems with engineering importance. Previous studies on the deformation of such a shell assumed that the material is linear elastic. This paper takes into consideration the nonlinear Hollomon materials that (are plastic) can deform plastically. The effect of gravity on pressure is alsotaken into account.

Original languageEnglish
Pages (from-to)3271-3280
Number of pages10
JournalApplied Mathematical Sciences
Volume7
Issue number65-68
DOIs
Publication statusPublished - 2013

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Keywords

  • Browder theorem
  • Existence of equilibrium states
  • Hollomon power-law material
  • Hollow plastic cylinders
  • Minimization of functional with constraints
  • Nonlinear eigenvalue problem
  • Nonlinear integro-differential equation

ASJC Scopus subject areas

  • Applied Mathematics

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