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An investigation of stress wave propagation in a shear deformable nanobeam based on modified couple stress theory

Author:
مجید اکبرزاده خورشیدی
,
محمود شریعتی
,
majid akbarzadeh khorshidi
,
Mahmoud Shariati
Year
: 2016
Abstract: This paper presents a new investigation for propagation of stress wave in a nanobeam based on modified couple stress theory. Using Euler– Bernoulli beam theory, Timoshenko beam theory, and Reddy beam theory, the effect of shear deformation is investigated. This nonclassical model contains a material length scale parameter to capture the size effect and the Poisson effect is incorporated in the current model.

Governing equations of motion are obtained by Hamilton’s principle and solved explicitly. This solution leads to obtain two phase velocities for shear deformable beams in different directions. Effects of shear

deformation, material length scale parameter, and Poisson’s ratio on the behavior of these phase velocities are investigated and discussed.

The results also show a dual behavior for phase velocities against Poisson’s ratio.
URI: http://libsearch.um.ac.ir:80/fum/handle/fum/3356979
Keyword(s): Nano beam,Modified couple stress theory,stress wave propagation
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    An investigation of stress wave propagation in a shear deformable nanobeam based on modified couple stress theory

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contributor authorمجید اکبرزاده خورشیدیen
contributor authorمحمود شریعتیen
contributor authormajid akbarzadeh khorshidifa
contributor authorMahmoud Shariatifa
date accessioned2020-06-06T13:29:21Z
date available2020-06-06T13:29:21Z
date issued2016
identifier urihttp://libsearch.um.ac.ir:80/fum/handle/fum/3356979
description abstractThis paper presents a new investigation for propagation of stress wave in a nanobeam based on modified couple stress theory. Using Euler– Bernoulli beam theory, Timoshenko beam theory, and Reddy beam theory, the effect of shear deformation is investigated. This nonclassical model contains a material length scale parameter to capture the size effect and the Poisson effect is incorporated in the current model.

Governing equations of motion are obtained by Hamilton’s principle and solved explicitly. This solution leads to obtain two phase velocities for shear deformable beams in different directions. Effects of shear

deformation, material length scale parameter, and Poisson’s ratio on the behavior of these phase velocities are investigated and discussed.

The results also show a dual behavior for phase velocities against Poisson’s ratio.
en
languageEnglish
titleAn investigation of stress wave propagation in a shear deformable nanobeam based on modified couple stress theoryen
typeJournal Paper
contenttypeExternal Fulltext
subject keywordsNano beamen
subject keywordsModified couple stress theoryen
subject keywordsstress wave propagationen
journal titleWaves in Random and Complex Mediafa
pages243-258
journal volume26
journal issue2
identifier linkhttps://profdoc.um.ac.ir/paper-abstract-1056247.html
identifier articleid1056247
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