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Browsing Articles by Author "Elgindi, Mohamed B. M."

Browsing Articles by Author "Elgindi, Mohamed B. M."

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  • A Lumped-Parameter Model for Nonlinear Waves in Graphene 
    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 ...
  • Existence of Equilibrium States of Hollow Hollomon Cylinders Submerged in a Fluid 
    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 ...
  • Finite Element Analysis of the Ramberg-Osgood Bar 
    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 ...
  • On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load 
    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 ...
  • On the Global Solvability of a Class of Fourth- Order Nonlinear Boundary Value Problems 
    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 ...
  • On the solvability of euler graphene beam subject to axial compressive load 
    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 ...