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

M. B.M. Elgindi; D. Wei

doi:10.12988/ams.2013.33195

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

M. B.M. Elgindi, D. Wei

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	3271-3280
Number of pages	10
Journal	Applied Mathematical Sciences
Volume	7
Issue number	65-68
DOIs	https://doi.org/10.12988/ams.2013.33195
Publication status	Published - Jun 11 2013

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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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",

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AB - 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.

KW - Browder theorem

KW - Existence of equilibrium states

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KW - Hollow plastic cylinders

KW - Minimization of functional with constraints

KW - Nonlinear eigenvalue problem

KW - Nonlinear integro-differential equation

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

Abstract

Keywords

ASJC Scopus subject areas

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