A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges

Abstract In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Intr...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Journal of mechanical engineering science, 2010-09, Vol.224 (9), p.1831-1841
Main Authors: Mohammadi, M, Saidi, A R, Jomehzadeh, E
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Buckling
Decoupling
Displacement
Functionally gradient materials
High temperature
Loads (forces)
Mathematical analysis
Mechanical engineering
Mindlin plate theory
Mindlin plates
Plate theory
Plates
Rectangular plates
Stability
Stability analysis
Studies
Systems stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3
cites cdi_FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3
container_end_page 1841
container_issue 9
container_start_page 1831
container_title Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science
container_volume 224
creator Mohammadi, M
Saidi, A R
Jomehzadeh, E
description Abstract In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Introducing four new functions, the coupled stability equations are converted into two independent equations. The obtained equations have been solved for buckling analysis of rectangular plates with simply-supported two edges and arbitrary boundary conditions along the other edges (Levy boundary conditions). The critical buckling loads are presented for different loading conditions, various thickness to side and aspect ratios, some powers of FG materials, and various boundary conditions. The presented results for buckling of moderately thick FG plates with two simply-supported edges are reported for the first time.
doi_str_mv 10.1243/09544062JMES1804
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_849476200</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sage_id>10.1243_09544062JMES1804</sage_id><sourcerecordid>1909357258</sourcerecordid><originalsourceid>FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3</originalsourceid><addsrcrecordid>eNp10Utv1DAQAGALUYmlcOdowYFTwM_EOVZVC1RFHFrO0cSPrFtvHGyn1f4U_m29Wg6oUn3xaOabkUaD0AdKvlAm-FfSSyFIy65-XtxQRcQrtGFE0Ib1ir9Gm0O5OdTfoLc535H6WCs36O8ZnuODDRhmCPviNdRwWVIEvcUuJly2Fo-rvg9-no4o-4yjw7tobIJiw74ar--xW2ddfKykpqYExhqcrC4wT2uAhJdQdcaPvmxxeYw4-90S9k1elyWmUnGsQfbFYmsmm9-hEwch2_f__lP0-_Li9vx7c_3r24_zs-tG81aVZjQjWGkkdNCNqpPK9MJyoTWVkivqqDEKeK9EB5wTcL3SagTXKq6scdrwU_T5OLcu_We1uQw7n7UNAWYb1zwo0YuuZYRU-fGZvItrqvtW1DLWtR1lFX16CdGe9Fx2TKqqyFHpFHNO1g1L8jtI-4GS4XDP4fk9a0tzbMkw2f-GvuSfABocpDg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>862276712</pqid></control><display><type>article</type><title>A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges</title><source>SAGE:Jisc Collections:SAGE Journals Read and Publish 2023-2024:2025 extension (reading list)</source><source>SAGE IMechE Complete Collection</source><creator>Mohammadi, M ; Saidi, A R ; Jomehzadeh, E</creator><creatorcontrib>Mohammadi, M ; Saidi, A R ; Jomehzadeh, E</creatorcontrib><description>Abstract In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Introducing four new functions, the coupled stability equations are converted into two independent equations. The obtained equations have been solved for buckling analysis of rectangular plates with simply-supported two edges and arbitrary boundary conditions along the other edges (Levy boundary conditions). The critical buckling loads are presented for different loading conditions, various thickness to side and aspect ratios, some powers of FG materials, and various boundary conditions. The presented results for buckling of moderately thick FG plates with two simply-supported edges are reported for the first time.</description><identifier>ISSN: 0954-4062</identifier><identifier>EISSN: 2041-2983</identifier><identifier>DOI: 10.1243/09544062JMES1804</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Analysis ; Boundary conditions ; Buckling ; Decoupling ; Displacement ; Functionally gradient materials ; High temperature ; Loads (forces) ; Mathematical analysis ; Mechanical engineering ; Mindlin plate theory ; Mindlin plates ; Plate theory ; Plates ; Rectangular plates ; Stability ; Stability analysis ; Studies ; Systems stability</subject><ispartof>Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science, 2010-09, Vol.224 (9), p.1831-1841</ispartof><rights>2010 Institution of Mechanical Engineers</rights><rights>Copyright Professional Engineering Publishing Ltd 2010</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3</citedby><cites>FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1243/09544062JMES1804$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1243/09544062JMES1804$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,776,780,21892,27901,27902,45035,45423</link.rule.ids></links><search><creatorcontrib>Mohammadi, M</creatorcontrib><creatorcontrib>Saidi, A R</creatorcontrib><creatorcontrib>Jomehzadeh, E</creatorcontrib><title>A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges</title><title>Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science</title><description>Abstract In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Introducing four new functions, the coupled stability equations are converted into two independent equations. The obtained equations have been solved for buckling analysis of rectangular plates with simply-supported two edges and arbitrary boundary conditions along the other edges (Levy boundary conditions). The critical buckling loads are presented for different loading conditions, various thickness to side and aspect ratios, some powers of FG materials, and various boundary conditions. The presented results for buckling of moderately thick FG plates with two simply-supported edges are reported for the first time.</description><subject>Analysis</subject><subject>Boundary conditions</subject><subject>Buckling</subject><subject>Decoupling</subject><subject>Displacement</subject><subject>Functionally gradient materials</subject><subject>High temperature</subject><subject>Loads (forces)</subject><subject>Mathematical analysis</subject><subject>Mechanical engineering</subject><subject>Mindlin plate theory</subject><subject>Mindlin plates</subject><subject>Plate theory</subject><subject>Plates</subject><subject>Rectangular plates</subject><subject>Stability</subject><subject>Stability analysis</subject><subject>Studies</subject><subject>Systems stability</subject><issn>0954-4062</issn><issn>2041-2983</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp10Utv1DAQAGALUYmlcOdowYFTwM_EOVZVC1RFHFrO0cSPrFtvHGyn1f4U_m29Wg6oUn3xaOabkUaD0AdKvlAm-FfSSyFIy65-XtxQRcQrtGFE0Ib1ir9Gm0O5OdTfoLc535H6WCs36O8ZnuODDRhmCPviNdRwWVIEvcUuJly2Fo-rvg9-no4o-4yjw7tobIJiw74ar--xW2ddfKykpqYExhqcrC4wT2uAhJdQdcaPvmxxeYw4-90S9k1elyWmUnGsQfbFYmsmm9-hEwch2_f__lP0-_Li9vx7c_3r24_zs-tG81aVZjQjWGkkdNCNqpPK9MJyoTWVkivqqDEKeK9EB5wTcL3SagTXKq6scdrwU_T5OLcu_We1uQw7n7UNAWYb1zwo0YuuZYRU-fGZvItrqvtW1DLWtR1lFX16CdGe9Fx2TKqqyFHpFHNO1g1L8jtI-4GS4XDP4fk9a0tzbMkw2f-GvuSfABocpDg</recordid><startdate>20100901</startdate><enddate>20100901</enddate><creator>Mohammadi, M</creator><creator>Saidi, A R</creator><creator>Jomehzadeh, E</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>3V.</scope><scope>7XB</scope><scope>88I</scope><scope>8AF</scope><scope>8AO</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M2P</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20100901</creationdate><title>A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges</title><author>Mohammadi, M ; Saidi, A R ; Jomehzadeh, E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Analysis</topic><topic>Boundary conditions</topic><topic>Buckling</topic><topic>Decoupling</topic><topic>Displacement</topic><topic>Functionally gradient materials</topic><topic>High temperature</topic><topic>Loads (forces)</topic><topic>Mathematical analysis</topic><topic>Mechanical engineering</topic><topic>Mindlin plate theory</topic><topic>Mindlin plates</topic><topic>Plate theory</topic><topic>Plates</topic><topic>Rectangular plates</topic><topic>Stability</topic><topic>Stability analysis</topic><topic>Studies</topic><topic>Systems stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mohammadi, M</creatorcontrib><creatorcontrib>Saidi, A R</creatorcontrib><creatorcontrib>Jomehzadeh, E</creatorcontrib><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology &amp; Engineering</collection><collection>Engineering Research Database</collection><collection>ProQuest Central (Corporate)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>STEM Database</collection><collection>ProQuest Pharma Collection</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mohammadi, M</au><au>Saidi, A R</au><au>Jomehzadeh, E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges</atitle><jtitle>Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science</jtitle><date>2010-09-01</date><risdate>2010</risdate><volume>224</volume><issue>9</issue><spage>1831</spage><epage>1841</epage><pages>1831-1841</pages><issn>0954-4062</issn><eissn>2041-2983</eissn><abstract>Abstract In this article, a novel analytical method for decoupling the coupled stability equations of functionally graded (FG) rectangular plates is introduced. Based on the Mindlin plate theory, the governing stability equations that are coupled in terms of displacement components are derived. Introducing four new functions, the coupled stability equations are converted into two independent equations. The obtained equations have been solved for buckling analysis of rectangular plates with simply-supported two edges and arbitrary boundary conditions along the other edges (Levy boundary conditions). The critical buckling loads are presented for different loading conditions, various thickness to side and aspect ratios, some powers of FG materials, and various boundary conditions. The presented results for buckling of moderately thick FG plates with two simply-supported edges are reported for the first time.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1243/09544062JMES1804</doi><tpages>11</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0954-4062
ispartof Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science, 2010-09, Vol.224 (9), p.1831-1841
issn 0954-4062
2041-2983
language eng
recordid cdi_proquest_miscellaneous_849476200
source SAGE:Jisc Collections:SAGE Journals Read and Publish 2023-2024:2025 extension (reading list); SAGE IMechE Complete Collection
subjects Analysis
Boundary conditions
Buckling
Decoupling
Displacement
Functionally gradient materials
High temperature
Loads (forces)
Mathematical analysis
Mechanical engineering
Mindlin plate theory
Mindlin plates
Plate theory
Plates
Rectangular plates
Stability
Stability analysis
Studies
Systems stability
title A novel analytical approach for the buckling analysis of moderately thick functionally graded rectangular plates with two simply-supported opposite edges
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T02%3A26%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20novel%20analytical%20approach%20for%20the%20buckling%20analysis%20of%20moderately%20thick%20functionally%20graded%20rectangular%20plates%20with%20two%20simply-supported%20opposite%20edges&rft.jtitle=Proceedings%20of%20the%20Institution%20of%20Mechanical%20Engineers.%20Part%20C,%20Journal%20of%20mechanical%20engineering%20science&rft.au=Mohammadi,%20M&rft.date=2010-09-01&rft.volume=224&rft.issue=9&rft.spage=1831&rft.epage=1841&rft.pages=1831-1841&rft.issn=0954-4062&rft.eissn=2041-2983&rft_id=info:doi/10.1243/09544062JMES1804&rft_dat=%3Cproquest_cross%3E1909357258%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c368t-bdbae5d5a7a7b8758d94e34cc155381f1dd8a39847a330af98c8baf6838edfcd3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=862276712&rft_id=info:pmid/&rft_sage_id=10.1243_09544062JMES1804&rfr_iscdi=true