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Browsing Mathematics by Author "Elgindi, Mohamed B. M."
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Hazim, Hamad; Wei, Dongming; Elgindi, Mohamed B. M.; Soukiassian, Yeran
(World Journal of Engineering and Technology, 2015)
A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic
stiffness constant is considered for modeling the free and forced axial vibrations of a graphene
sheet with one fixed end ...
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Elgindi, Mohamed B. M.; Wei, Dongming
(Applied Mathematical Sciences, 2013)
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 ...
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Wei, Dongming; Elgindi, Mohamed B. M.
(American Journal of Computational Mathematics, 2013)
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the ...
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Elgindi, Mohamed B. M.; Wei, Dongming; Soukiassian, Yeran; Liu, Yu
(World Journal of Engineering and Technology, 2014)
In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive
load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value
problem, prove some properties ...
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Elgindi, Mohamed B. M.; Wei, Dongming
(Mathematics Faculty Publications, 2012)
In this paper we prove the global solvability of a class of fourth-order
nonlinear boundary value problems that govern the deformation of a Hollomon’s
power-law plastic beam subject to an axial compression and nonlinear ...
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Elgindi, Mohamed B. M.; Wei, Dongming; Elgindi, T.M.
(arXiv.org, 2014)
In this paper we formulate the equilibrium equation for a beam made of graphene sub-
jected to some boundary conditions and acted upon by axial compression and nonlinear lateral
constrains as a fourth-order nonlinear ...