Some analytic and finite element solutions of the graphene Euler beam

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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Bibliographic Details
Published inInternational journal of computer mathematics Vol. 91; no. 10; pp. 2276 - 2293
Main Authors Wei, Dongming, Liu, Yu, Elgindi, Mohamad B.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.10.2014
Taylor & Francis Ltd
Subjects
analytic solution
beam deflection
Beams (structural)
Comparative analysis
Error analysis
Euler beam theory
Euler-Bernoulli equation
Eulers equations
Finite element analysis
Finite element method
finite element solution
Graphene
graphene Euler-Bernoulli beam
Mathematical analysis
Mathematical models
Online AccessGet full text
ISSN0020-7160
1029-0265
DOI10.1080/00207160.2013.871784

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Summary: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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ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2013.871784