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 | |
| Publication status | Published - 2013 |
| Externally published | Yes |
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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
Cite this
Existence of equilibrium states of hollow Hollomon cylinders submerged in a fluid. / Elgindi, M. B M; Wei, D.
In: Applied Mathematical Sciences, Vol. 7, No. 65-68, 2013, p. 3271-3280.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Existence of equilibrium states of hollow Hollomon cylinders submerged in a fluid
AU - Elgindi, M. B M
AU - Wei, D.
PY - 2013
Y1 - 2013
N2 - 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.
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
KW - Hollomon power-law material
KW - Hollow plastic cylinders
KW - Minimization of functional with constraints
KW - Nonlinear eigenvalue problem
KW - Nonlinear integro-differential equation
UR - http://www.scopus.com/inward/record.url?scp=84878661469&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878661469&partnerID=8YFLogxK
U2 - 10.12988/ams.2013.33195
DO - 10.12988/ams.2013.33195
M3 - Article
VL - 7
SP - 3271
EP - 3280
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
SN - 1312-885X
IS - 65-68
ER -