Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation
Autor(a) principal: | |
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Data de Publicação: | 2015 |
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=S1679-78252015000400747 |
Resumo: | This paper addresses the static deformation of simply supported rectangular micro/nano plates made of functionally graded (FG) materials based on the three-dimensional nonlocal elasticity theory of Eringen. The plates are assumed to be simply supported and rested on a Winkler-Pasternak elastic foundation. Elasticity modulus is assumed to obey an exponential law along the thickness direction of the micro/nano plate. Using the Fourier series, a displacement field is defined that satisfies simply supported boundary condition and reduces three elasticity equations to two independent equations. The closed-form bending response is achieved by exerting boundary conditions of the lateral surfaces. Numerical results are presented to investigate the influences of the gradient index of the material properties, nonlocal parameter and stiffness of elastic foundation on the mechanical behavior of the plates. |
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Latin American journal of solids and structures (Online) |
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|
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Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundationFunctionally graded materialmicro/nano platesstatic deformationexact solutionthree-dimensional nonlocal elasticityThis paper addresses the static deformation of simply supported rectangular micro/nano plates made of functionally graded (FG) materials based on the three-dimensional nonlocal elasticity theory of Eringen. The plates are assumed to be simply supported and rested on a Winkler-Pasternak elastic foundation. Elasticity modulus is assumed to obey an exponential law along the thickness direction of the micro/nano plate. Using the Fourier series, a displacement field is defined that satisfies simply supported boundary condition and reduces three elasticity equations to two independent equations. The closed-form bending response is achieved by exerting boundary conditions of the lateral surfaces. Numerical results are presented to investigate the influences of the gradient index of the material properties, nonlocal parameter and stiffness of elastic foundation on the mechanical behavior of the plates.Associação Brasileira de Ciências Mecânicas2015-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000400747Latin American Journal of Solids and Structures v.12 n.4 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251398info:eu-repo/semantics/openAccessSalehipour,H.Nahvi,H.Shahidi,A.R.eng2015-09-24T00:00:00Zoai:scielo:S1679-78252015000400747Revistahttp://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:2015-09-24T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
title |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
spellingShingle |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation Salehipour,H. Functionally graded material micro/nano plates static deformation exact solution three-dimensional nonlocal elasticity |
title_short |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
title_full |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
title_fullStr |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
title_full_unstemmed |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
title_sort |
Closed-form elasticity solution for three-dimensional deformation of functionally graded micro/nano plates on elastic foundation |
author |
Salehipour,H. |
author_facet |
Salehipour,H. Nahvi,H. Shahidi,A.R. |
author_role |
author |
author2 |
Nahvi,H. Shahidi,A.R. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Salehipour,H. Nahvi,H. Shahidi,A.R. |
dc.subject.por.fl_str_mv |
Functionally graded material micro/nano plates static deformation exact solution three-dimensional nonlocal elasticity |
topic |
Functionally graded material micro/nano plates static deformation exact solution three-dimensional nonlocal elasticity |
description |
This paper addresses the static deformation of simply supported rectangular micro/nano plates made of functionally graded (FG) materials based on the three-dimensional nonlocal elasticity theory of Eringen. The plates are assumed to be simply supported and rested on a Winkler-Pasternak elastic foundation. Elasticity modulus is assumed to obey an exponential law along the thickness direction of the micro/nano plate. Using the Fourier series, a displacement field is defined that satisfies simply supported boundary condition and reduces three elasticity equations to two independent equations. The closed-form bending response is achieved by exerting boundary conditions of the lateral surfaces. Numerical results are presented to investigate the influences of the gradient index of the material properties, nonlocal parameter and stiffness of elastic foundation on the mechanical behavior of the plates. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-08-01 |
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=S1679-78252015000400747 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015000400747 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78251398 |
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.12 n.4 2015 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_ |
1754302887988559872 |