Dongming Wei, PhD &ndash; Research Output

2017

Nonlinear Waves in Rods and Beams of Power-Law Materials

Wei, D., Skrzypacz, P. & Yu, X., Jan 1 2017, In : Journal of Applied Mathematics. 2017, 2095425.

Research output: Contribution to journal › Article

Nonlinear Waves

Power Law

Kink

Traveling Wave Solutions

Dynamic Equation

2 Citations (Scopus)

Periodic solutions of a graphene based model in micro-electro-mechanical pull-in device

Wei, D., Kadyrov, S. & Kazbek, Z., Jan 1 2017, In : Applied and Computational Mechanics. 11, 1, p. 81-90 10 p.

Research output: Contribution to journal › Article

Graphite

Graphene

Periodic Solution

Stiffness

Equipment and Supplies

2016

Buckling and post-buckling of graphene tubes

Elgindi, M. B., Wei, D., Liu, Y. & Xu, H., Apr 2 2016, In : Mechanics of Advanced Materials and Structures. 23, 4, p. 402-406 5 p.

Research output: Contribution to journal › Article

Postbuckling

Graphite

Graphene

Buckling

Tube

Numerical Analysis for Retaining Walls Subjected to Swelling Pressure

Wei, D., Yu, L., Zhang, D., Ko, W. & Kim, J., 2016.

Research output: Contribution to conference › Paper

retaining

swelling

numerical analysis

bending moments

soils

2015

Characterization of Corneal Indentation Hysteresis

Ko, M. W. L., Wei, D. & Leung, C. K. S., Nov 4 2015, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS. Institute of Electrical and Electronics Engineers Inc., Vol. 2015-November. p. 7784-7787 4 p. 7320197

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Intraocular Pressure

Indentation

Hysteresis

Swine

Tensile stress

2014

1 Citation (Scopus)

Analysis of impact response of RC beams and influencing factors

Wei, D. M. & Liu, D. Y., Jul 1 2014, In : Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology. 34, p. 119-122 4 p.

Research output: Contribution to journal › Article

Hammers

Dynamic response

Reinforcement

ABAQUS

Strain rate

An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load

Elgindi, M. B., Wei, D. & Ghazy, M. A., 2014, Middle East Conference on Biomedical Engineering, MECBME. IEEE Computer Society, p. 79-82 4 p. 6783211

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Elastoplasticity

Graphene

Buckling

4 Citations (Scopus)

Buckling and deformation of Hollomon's power-law tubes

Elgindi, M. B., Wei, D., Liu, Y., Kamran, K. & Xu, H., 2014, In : Thin-Walled Structures. 74, p. 213-221 9 p.

Research output: Contribution to journal › Article

Buckling

Initial value problems

Strain hardening

Boundary value problems

1 Citation (Scopus)

Optimal numerical flux of power-law fluids in some partially full pipes

Lefton, L., Wei, D. & Liu, Y., 2014, (Accepted/In press) In : International Journal of Computational Fluid Dynamics.

Research output: Contribution to journal › Article

Pipe

Fluxes

Fluids

fluids

Geometry

7 Citations (Scopus)

Similarity solutions for non-Newtonian power-law fluid flow

Wei, D. M. & Al-Ashhab, S., 2014, In : Applied Mathematics and Mechanics (English Edition). 35, 9, p. 1155-1166 12 p.

Research output: Contribution to journal › Article

Power-law Fluid

Similarity Solution

Non-Newtonian Fluid

Fluid Flow

Flow of fluids

Some analytic and finite element solutions of the graphene Euler beam

Wei, D., Liu, Y. & Elgindi, M. B., Oct 3 2014, In : International Journal of Computer Mathematics. 91, 10, p. 2276-2293 18 p.

Research output: Contribution to journal › Article

Graphene

Finite Element Solution

Error Analysis

Error analysis

Euler

2013

9 Citations (Scopus)

A note on acoustic propagation in power-law fluids: Compact kinks, mild discontinuities, and a connection to finite-scale theory

Wei, D. & Jordan, P. M., Jan 2013, In : International Journal of Non-Linear Mechanics. 48, p. 72-77 6 p.

Research output: Contribution to journal › Article

Power-law Fluid

Kink

Discontinuity

Acoustics

Power Law

3 Citations (Scopus)

Critical buckling loads of the perfect Hollomon's power-law columns

Wei, D., Sarria, A. & Elgindi, M., Aug 7 2013, In : Mechanics Research Communications. 47, p. 69-76 8 p., 2675.

Research output: Contribution to journal › Article

buckling

Buckling

Plastics

plastics

trigonometric functions

1 Citation (Scopus)

Existence of equilibrium states of hollow Hollomon cylinders submerged in a fluid

Elgindi, M. B. M. & Wei, D., 2013, In : Applied Mathematical Sciences. 7, 65-68, p. 3271-3280 10 p.

Research output: Contribution to journal › Article

Equilibrium State

Plastics

Fluid

Fluids

Elasto-plastic

2012

5 Citations (Scopus)

Analytic and finite element solutions of the power-law Euler-Bernoulli beams

Wei, D. & Liu, Y., May 2012, In : Finite Elements in Analysis and Design. 52, p. 31-40 10 p.

Research output: Contribution to journal › Article

Euler-Bernoulli Beam

Finite Element Solution

Strain hardening

Beam Equation

Power Law

On the global solvability of a class of fourth-order nonlinear boundary value problems

Elgindi, M. B. M. & Wei, D., 2012, In : Applied Mathematical Sciences. 6, 117-120, p. 5981-5992 12 p.

Research output: Contribution to journal › Article

Fourth-order Boundary Value Problem

Global Solvability

Axial compression

Nonlinear Boundary Value Problems

Boundary value problems

3 Citations (Scopus)

Some generalized trigonometric sine functions and their applications

Wei, D., Liu, Y. & Elgindi, M. B., 2012, In : Applied Mathematical Sciences. 6, 121-124, p. 6053-6068 16 p.

Research output: Contribution to journal › Article

Lagrangian Mechanics

Nonlinear Ordinary Differential Equations

System of Differential Equations

Analytic Solution

Ordinary differential equations

1 Citation (Scopus)

Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows

Wei, D. & Holladay, K., 2012, In : Applied Mathematics E - Notes. 12, p. 129-135 7 p.

Research output: Contribution to journal › Article

Burgers Equation

Traveling Wave Solutions

Fluid Flow

Flow of fluids

Newtonian flow

2011

3 Citations (Scopus)

Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows

Wei, D. & Borden, H., 2011, In : Applied Mathematics E - Notes. 11, p. 132-138 7 p.

Research output: Contribution to journal › Article

Non Newtonian flow

Non-Newtonian Flow

Burgers Equation

Traveling Wave Solutions

Power Law

2003

24 Citations (Scopus)

Finite element solutions of heat transfer in molten polymer flow in tubes with viscous dissipation

Wei, D. & Luo, H., Jul 2003, In : International Journal of Heat and Mass Transfer. 46, 16, p. 3097-3108 12 p.

Research output: Contribution to journal › Article

Molten materials

Polymers

dissipation

heat transfer

tubes

4 Citations (Scopus)

Penalty finite element approximations of the stationary power-law Stokes problem

Lefton, L. & Wei, D., 2003, In : Journal of Numerical Mathematics. 11, 4, p. 301-322 22 p.

Research output: Contribution to journal › Article

A Priori Error Estimates

Conjugate gradient method

Stokes Problem

Conjugate Gradient Method

Finite Element Approximation

2001

4 Citations (Scopus)

A penalty method for approximations of the stationary power-law stokes problem

Lefton, L. & Wei, D., 2001, In : Electronic Journal of Differential Equations. 2001

Research output: Contribution to journal › Article

Non-Newtonian Flow

Stokes Problem

Penalty Method

Incompressible Flow

Penalty

2 Citations (Scopus)

Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation

Dongming, W. E. I. & Zhang, Z., 2001, In : Electronic Journal of Differential Equations. 2001

Research output: Contribution to journal › Article

Viscous Dissipation

Decay Estimates

Temperature Profile

Steady-state Solution

Elliptic Equations

2 Citations (Scopus)

Penalty approximations to the stationary power-law Navier-Stokes problem

Wei, D., Aug 2001, In : Numerical Functional Analysis and Optimization. 22, 5-6, p. 749-765 17 p.

Research output: Contribution to journal › Article

Non Newtonian flow

Navier-Stokes Problem

Penalty

Power Law

Approximation

1999

9 Citations (Scopus)

A priori L^ρ error estimates for Galerkin approximations to porous medium and fast diffusion equations

Wei, D. & Lefton, L., Jul 1999, In : Mathematics of Computation. 68, 227, p. 971-989 19 p.

Research output: Contribution to journal › Article

Fast Diffusion Equation

Galerkin Approximation

Porous Media

Porous materials

Error Estimates

1997

31 Citations (Scopus)

Numerical approximation of the first eigenpair of the p-Laplacian using finite elements and the penalty method

Lefton, L. & Wei, D., 1997, In : Numerical Functional Analysis and Optimization. 18, 3-4, p. 389-399 11 p.

Research output: Contribution to journal › Article

Hooks

Penalty Method

P-Laplacian

Numerical Approximation

Eigenvalues and eigenfunctions

1993

4 Citations (Scopus)

Radial Solutions to A Nonlinear P-Harmonic Dirichlet Problem

Saxton, R. & Wei, D., Dec 1 1993, In : Applicable Analysis. 51, 1-4, p. 59-80 22 p.

Research output: Contribution to journal › Article

Sobolev Embedding

P-harmonic

Infinitely Many Solutions

Radial Solutions

Nonlinear Ordinary Differential Equations

1992

22 Citations (Scopus)

Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem

Wei, D., Apr 1992, In : SIAM Journal on Numerical Analysis. 29, 2, p. 484-497 14 p.

Research output: Contribution to journal › Article

Quasilinear Problems

Method of Lines

Finite Element Solution

Parabolic Problems

Initial-boundary-value Problem

1991

2 Citations (Scopus)

Finite element approximation of the first eigenpair of a nonlinear problem

Wei, D., Jan 1 1991, In : Numerical Functional Analysis and Optimization. 12, 5-6, p. 611-620 10 p.

Research output: Contribution to journal › Article

Finite Element Approximation

Nonlinear Problem

Error Estimates

Finite Element Method

Regularity

1989

1 Citation (Scopus)

An Existence Theorem for Weak Solution of a Nonlinear Dam Problem

Wei, D., Jan 1 1989, In : Applicable Analysis. 34, 3-4, p. 219-230 12 p.

Research output: Contribution to journal › Article

Porous Media Flow

P-harmonic

Conformal mapping

Quasiconformal Mapping

Weak Formulation

7 Citations (Scopus)

Finite Element Approximations of Solutions to P-Harmonic Equation with Dirichlet Data

Wei, D., 1989, In : Numerical Functional Analysis and Optimization. 10, 11-12, p. 1235-1251 17 p.

Research output: Contribution to journal › Article

P-harmonic

Finite Element Solution

Finite Element Approximation

Minimizer

Dirichlet Problem