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Browsing Articles by Author "Wei, Dongming"

Browsing Articles by Author "Wei, Dongming"

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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 ...
  • A Lumped-Parameter Model for Nonlinear Waves in Graphene 
    Wei, Dongming; Hazim, Hamad; Elgindi, Mohamed; Soukiassian, Yeran (2015)
    A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic sti ness constant is considered for mod- eling the free and forced axial vibrations of a graphene sheet with one xed end ...
  • A Penalty Method for Approximations of the Stationary Power-Law Stokes Problem 
    Lefton, Lew; Wei, Dongming (Electronic journal of differential equations, 2001)
    We study approximations of the steady state Stokes problem governed by the power-law model for viscous incompressible non-Newtonian flow using the penalty formulation. We establish convergence and find error estimates.
  • Decay Estimates of Heat Transfer to Melton Polymer Flow in Pipes with Viscous Dissipation 
    Wei, Dongming; Zhang, Zhenbu (Electronic journal of differential equations, 2001)
    In this work, we compare a parabolic equation with an elliptic equation both of which are used in modeling temperature profile of a powerlaw polymer ow in a semi-infinite straight pipe with circular cross section. We ...
  • 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 ...
  • Existence, Uniqueness, and Numerical Analysis of Solutions of a Quasilinear ParabolicProblem 
    Wei, Dongming (Society for Industrial and Applied Mathematics. SIAM Journal on Numerical Analysis, 1992-04)
    A quasilinear parabolic problem is studied. By using the method of lines, the existence and uniqueness of a solution to the initial boundary value problem with sufficiently smooth initial conditions are shown. Also given ...
  • 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 ...
  • Nonlinear Waves in Rods and Beams of Power-Law Materials 
    Wei, Dongming; Skrzypacz, Piotr; Yu, Xijun (Journal of Applied Mathematics, 2017-07-13)
    Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that ...
  • 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 ...
  • On the solvability of the Brinkman-forchheimer-extended darcy Equation 
    Skrzypacz, Piotr; Wei, Dongming (arXiv.org, 2016)
    The nonlinear Brinkman-Forchheimer-extended Darcy equation is used to model some porous medium ow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are ...
  • Optimal Design of Helical Springs of Power Law Materials 
    Wei, Dongming; Fyrillas, Marios; Otemissov, Adilet; Bekishev, Rustam (arXiv.org, 2016)
    In this paper the geometric dimensions of a compressive helical spring made of power law materials are optimized to reduce the amount of material. The mechanical constraints are derived to form the geometric programming ...
  • Penalty finite element approximations of the stationary power- law Stokes problem 
    Lefton, Lew; Wei, Dongming (Journal of Numerical Mathematics, 2003)
    Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without ...
  • Some Generalized Trigonometric Sine Functions and Their Applications 
    Wei, Dongming; Liu, Yu (Applied Mathematical Sciences, 2012)
    In this paper, it is shown that D. Shelupsky's generalized sine func- tion, and various general sine functions developed by P. Drabek, R. Manasevich and M. Otani, P. Lindqvist, including the generalized Ja- cobi elliptic ...