Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161 |
Resumo: | Abstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study. |
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Latin American journal of solids and structures (Online) |
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Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-PlatesRectangular micro-plateStrain gradient theoryBuckling analysisFunctionally gradedKirchhoff plate theoryNavier solutionAbstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study.Associação Brasileira de Ciências Mecânicas2016-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161Latin American Journal of Solids and Structures v.13 n.16 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252554info:eu-repo/semantics/openAccessFarahmand,H.Naseralavi,S. S.Iranmanesh,A.Mohammadi,M.eng2017-01-09T00:00:00Zoai:scielo:S1679-78252016001603161Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2017-01-09T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
title |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
spellingShingle |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates Farahmand,H. Rectangular micro-plate Strain gradient theory Buckling analysis Functionally graded Kirchhoff plate theory Navier solution |
title_short |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
title_full |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
title_fullStr |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
title_full_unstemmed |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
title_sort |
Navier Solution for Buckling Analysis of Size-Dependent Functionally Graded Micro-Plates |
author |
Farahmand,H. |
author_facet |
Farahmand,H. Naseralavi,S. S. Iranmanesh,A. Mohammadi,M. |
author_role |
author |
author2 |
Naseralavi,S. S. Iranmanesh,A. Mohammadi,M. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Farahmand,H. Naseralavi,S. S. Iranmanesh,A. Mohammadi,M. |
dc.subject.por.fl_str_mv |
Rectangular micro-plate Strain gradient theory Buckling analysis Functionally graded Kirchhoff plate theory Navier solution |
topic |
Rectangular micro-plate Strain gradient theory Buckling analysis Functionally graded Kirchhoff plate theory Navier solution |
description |
Abstract In the present paper, buckling analysis of functionally graded rectangular micro-plates, on the basis of strain gradient theory with one length scale parameter is studied. Considering the Kirchhoff plate theory and the principle of minimum total potential energy, governing equations of micro-plate subjected to in-plane loads are extracted. In accordance with functionally graded distribution of material properties through the thickness, higher order governing equation of sixth order is derived. Consequently, the stability equation is solved analytically for simply supported micro-plates and the effects of material properties, micro-structure parameters, dimensions and loading conditions are expounded on the critical buckling load. Developing the strain gradient theory for buckling analysis of micro-plates made of functionally graded material is a significant novelty of the presented study. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-12-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016001603161 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78252554 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.13 n.16 2016 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302888833712128 |