Some analytic and finite element solutions of the graphene Euler beam

Dongming Wei; Yu Liu; Mohamad B. Elgindi

doi:10.1080/00207160.2013.871784

Some analytic and finite element solutions of the graphene Euler beam

Dongming Wei, Yu Liu, Mohamad B. Elgindi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we provide some novel analytic and finite element solutions to the Euler–Bernoulli equation for graphene beams. Comparisons of the solutions and error analysis are demonstrated.

Original language	English
Pages (from-to)	2276-2293
Number of pages	18
Journal	International Journal of Computer Mathematics
Volume	91
Issue number	10
DOIs	https://doi.org/10.1080/00207160.2013.871784
Publication status	Published - Oct 3 2014

Keywords

analytic solution
beam deflection
finite element solution
graphene Euler–Bernoulli beam

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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title = "Some analytic and finite element solutions of the graphene Euler beam",

abstract = "In this work, we provide some novel analytic and finite element solutions to the Euler–Bernoulli equation for graphene beams. Comparisons of the solutions and error analysis are demonstrated.",

keywords = "analytic solution, beam deflection, finite element solution, graphene Euler–Bernoulli beam",

author = "Dongming Wei and Yu Liu and Elgindi, {Mohamad B.}",

year = "2014",

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AU - Elgindi, Mohamad B.

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N2 - In this work, we provide some novel analytic and finite element solutions to the Euler–Bernoulli equation for graphene beams. Comparisons of the solutions and error analysis are demonstrated.

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