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 |
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Pages (from-to) | 3271-3280 |
Number of pages | 10 |
Journal | Applied Mathematical Sciences |
Volume | 7 |
Issue number | 65-68 |
DOIs | |
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