Local radial basis function collocation method for bending analyses of quasicrystal plates
•Meshless formulations are developed for static and dynamic bending of QC plates.•The phonon-phason coupling effects are studied numerically.•The influence of elastic foundation and variable plate thickness is investigated.•The response of QC plates to impact loading is simulated. The local radial b...
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| Veröffentlicht in: | Applied Mathematical Modelling 2017-10, Vol.50, p.463-483 |
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| creator | Chiang, Y.C. Young, D.L. Sladek, J. Sladek, V. |
| description | •Meshless formulations are developed for static and dynamic bending of QC plates.•The phonon-phason coupling effects are studied numerically.•The influence of elastic foundation and variable plate thickness is investigated.•The response of QC plates to impact loading is simulated.
The local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads. Three common types of the plate bending problems are considered: (1) QC plates resting on Winkler foundation (2) QC plates with variable thickness and (3) QC plates under a transient dynamic load. According to the Reissner–Mindlin plate bending theory, there is allowed to simulate the behavior of the two excitations in QC plates, phonon and phason, by 2D strong formulations for the system of governing equations. The governing equations, which describe the phason displacements, are based on Agiasofitou and Lazar elastodynamic model. Numerical results demonstrate the effect of the elastic foundation, as well as plate thickness on the phonon and phason characteristics in this paper. For the transient dynamic analysis, the influence of the phason friction coefficients on the responses of QC plate to transient dynamic loads is also studied. |
| doi_str_mv | 10.1016/j.apm.2017.05.051 |
| format | Article |
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The local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads. Three common types of the plate bending problems are considered: (1) QC plates resting on Winkler foundation (2) QC plates with variable thickness and (3) QC plates under a transient dynamic load. According to the Reissner–Mindlin plate bending theory, there is allowed to simulate the behavior of the two excitations in QC plates, phonon and phason, by 2D strong formulations for the system of governing equations. The governing equations, which describe the phason displacements, are based on Agiasofitou and Lazar elastodynamic model. Numerical results demonstrate the effect of the elastic foundation, as well as plate thickness on the phonon and phason characteristics in this paper. For the transient dynamic analysis, the influence of the phason friction coefficients on the responses of QC plate to transient dynamic loads is also studied.</description><identifier>ISSN: 0307-904X</identifier><identifier>ISSN: 1088-8691</identifier><identifier>EISSN: 0307-904X</identifier><identifier>DOI: 10.1016/j.apm.2017.05.051</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>Basis functions ; Bending ; Bending theory ; Collocation methods ; Computer simulation ; Crystals ; Dynamic loads ; Elastodynamics ; Formulations ; Local radial basis function collocation method ; Mathematical models ; Mindlin plates ; Numerical analysis ; Orthorhombic quasicrystal ; Phonon and phason displacements ; Plates ; Quasicrystals ; Radial basis function ; Reissner−Mindlin theory ; Studies ; Variable thickness</subject><ispartof>Applied Mathematical Modelling, 2017-10, Vol.50, p.463-483</ispartof><rights>2017 Elsevier Inc.</rights><rights>Copyright Elsevier BV Oct 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c325t-c4e4fab0377b80e310c3d5d1a046191b70c8480fcaea709964247cf0b30671763</citedby><cites>FETCH-LOGICAL-c325t-c4e4fab0377b80e310c3d5d1a046191b70c8480fcaea709964247cf0b30671763</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0307904X17303918$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Chiang, Y.C.</creatorcontrib><creatorcontrib>Young, D.L.</creatorcontrib><creatorcontrib>Sladek, J.</creatorcontrib><creatorcontrib>Sladek, V.</creatorcontrib><title>Local radial basis function collocation method for bending analyses of quasicrystal plates</title><title>Applied Mathematical Modelling</title><description>•Meshless formulations are developed for static and dynamic bending of QC plates.•The phonon-phason coupling effects are studied numerically.•The influence of elastic foundation and variable plate thickness is investigated.•The response of QC plates to impact loading is simulated.
The local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads. Three common types of the plate bending problems are considered: (1) QC plates resting on Winkler foundation (2) QC plates with variable thickness and (3) QC plates under a transient dynamic load. According to the Reissner–Mindlin plate bending theory, there is allowed to simulate the behavior of the two excitations in QC plates, phonon and phason, by 2D strong formulations for the system of governing equations. The governing equations, which describe the phason displacements, are based on Agiasofitou and Lazar elastodynamic model. Numerical results demonstrate the effect of the elastic foundation, as well as plate thickness on the phonon and phason characteristics in this paper. For the transient dynamic analysis, the influence of the phason friction coefficients on the responses of QC plate to transient dynamic loads is also studied.</description><subject>Basis functions</subject><subject>Bending</subject><subject>Bending theory</subject><subject>Collocation methods</subject><subject>Computer simulation</subject><subject>Crystals</subject><subject>Dynamic loads</subject><subject>Elastodynamics</subject><subject>Formulations</subject><subject>Local radial basis function collocation method</subject><subject>Mathematical models</subject><subject>Mindlin plates</subject><subject>Numerical analysis</subject><subject>Orthorhombic quasicrystal</subject><subject>Phonon and phason displacements</subject><subject>Plates</subject><subject>Quasicrystals</subject><subject>Radial basis function</subject><subject>Reissner−Mindlin theory</subject><subject>Studies</subject><subject>Variable thickness</subject><issn>0307-904X</issn><issn>1088-8691</issn><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LxDAUDKLguvoDvAU8t760abPFkyx-wYIXBfES0vRFU7pNN2mF_fdmrQdPwoM3jzczDEPIJYOUASuv21QN2zQDJlIo4rAjsoAcRFIBfzv-g0_JWQgtABTxWpD3jdOqo141Nq5aBRuomXo9WtdT7bouvn_wFsdP11DjPK2xb2z_QVWvun3AQJ2huylKtd-HMdoMnRoxnJMTo7qAF797SV7v717Wj8nm-eFpfbtJdJ4VY6I5cqNqyIWoV4A5A503RcMU8JJVrBagV3wFRitUAqqq5BkX2kCdQymYKPMluZp9B-92E4ZRtm7yMVuQLLKLDDjwyGIzS3sXgkcjB2-3yu8lA3moULYyVigPFUoo4rCouZk1GON_WfQyaIu9xsZ61KNsnP1H_Q05pnnE</recordid><startdate>201710</startdate><enddate>201710</enddate><creator>Chiang, Y.C.</creator><creator>Young, D.L.</creator><creator>Sladek, J.</creator><creator>Sladek, V.</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201710</creationdate><title>Local radial basis function collocation method for bending analyses of quasicrystal plates</title><author>Chiang, Y.C. ; Young, D.L. ; Sladek, J. ; Sladek, V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c325t-c4e4fab0377b80e310c3d5d1a046191b70c8480fcaea709964247cf0b30671763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Basis functions</topic><topic>Bending</topic><topic>Bending theory</topic><topic>Collocation methods</topic><topic>Computer simulation</topic><topic>Crystals</topic><topic>Dynamic loads</topic><topic>Elastodynamics</topic><topic>Formulations</topic><topic>Local radial basis function collocation method</topic><topic>Mathematical models</topic><topic>Mindlin plates</topic><topic>Numerical analysis</topic><topic>Orthorhombic quasicrystal</topic><topic>Phonon and phason displacements</topic><topic>Plates</topic><topic>Quasicrystals</topic><topic>Radial basis function</topic><topic>Reissner−Mindlin theory</topic><topic>Studies</topic><topic>Variable thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chiang, Y.C.</creatorcontrib><creatorcontrib>Young, D.L.</creatorcontrib><creatorcontrib>Sladek, J.</creatorcontrib><creatorcontrib>Sladek, V.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Applied Mathematical Modelling</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chiang, Y.C.</au><au>Young, D.L.</au><au>Sladek, J.</au><au>Sladek, V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Local radial basis function collocation method for bending analyses of quasicrystal plates</atitle><jtitle>Applied Mathematical Modelling</jtitle><date>2017-10</date><risdate>2017</risdate><volume>50</volume><spage>463</spage><epage>483</epage><pages>463-483</pages><issn>0307-904X</issn><issn>1088-8691</issn><eissn>0307-904X</eissn><abstract>•Meshless formulations are developed for static and dynamic bending of QC plates.•The phonon-phason coupling effects are studied numerically.•The influence of elastic foundation and variable plate thickness is investigated.•The response of QC plates to impact loading is simulated.
The local radial basis function collocation method (LRBFCM) is proposed for plate bending analysis in orthorhombic quasicrystals (QCs) under static and transient dynamic loads. Three common types of the plate bending problems are considered: (1) QC plates resting on Winkler foundation (2) QC plates with variable thickness and (3) QC plates under a transient dynamic load. According to the Reissner–Mindlin plate bending theory, there is allowed to simulate the behavior of the two excitations in QC plates, phonon and phason, by 2D strong formulations for the system of governing equations. The governing equations, which describe the phason displacements, are based on Agiasofitou and Lazar elastodynamic model. Numerical results demonstrate the effect of the elastic foundation, as well as plate thickness on the phonon and phason characteristics in this paper. For the transient dynamic analysis, the influence of the phason friction coefficients on the responses of QC plate to transient dynamic loads is also studied.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.apm.2017.05.051</doi><tpages>21</tpages></addata></record> |
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| subjects | Basis functions Bending Bending theory Collocation methods Computer simulation Crystals Dynamic loads Elastodynamics Formulations Local radial basis function collocation method Mathematical models Mindlin plates Numerical analysis Orthorhombic quasicrystal Phonon and phason displacements Plates Quasicrystals Radial basis function Reissner−Mindlin theory Studies Variable thickness |
| title | Local radial basis function collocation method for bending analyses of quasicrystal plates |
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