Buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis
The paper presents a new numerical approach for buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis (IGA). By ignoring the van der Waals interaction between two adjacent plates, non-uniform thickness nanoplates are described as a single-layered...
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| Veröffentlicht in: | Composite structures 2017-02, Vol.162, p.182-193 |
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| creator | Banh-Thien, T. Dang-Trung, H. Le-Anh, L. Ho-Huu, V. Nguyen-Thoi, T. |
| description | The paper presents a new numerical approach for buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis (IGA). By ignoring the van der Waals interaction between two adjacent plates, non-uniform thickness nanoplates are described as a single-layered graphene sheet. The governing differential equation of the nanoplates is derived by the nonlocal theory in which the nonlocal stress-strain relation is used to capture the nonlocal mechanics caused by small size effects. The governing equation is then discretized into algebraic equations and solved by using IGA procedure to determine the critical buckling load. By using the non-uniform rational B-splines, IGA easily satisfies the required continuity of the partial differential equations in buckling analysis. Several numerical examples are solved and compared with those of previous publications to illustrate the performance of IGA for buckling analysis of nanoplates. |
| doi_str_mv | 10.1016/j.compstruct.2016.11.092 |
| format | Article |
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By ignoring the van der Waals interaction between two adjacent plates, non-uniform thickness nanoplates are described as a single-layered graphene sheet. The governing differential equation of the nanoplates is derived by the nonlocal theory in which the nonlocal stress-strain relation is used to capture the nonlocal mechanics caused by small size effects. The governing equation is then discretized into algebraic equations and solved by using IGA procedure to determine the critical buckling load. By using the non-uniform rational B-splines, IGA easily satisfies the required continuity of the partial differential equations in buckling analysis. 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Several numerical examples are solved and compared with those of previous publications to illustrate the performance of IGA for buckling analysis of nanoplates.</description><subject>Buckling</subject><subject>Buckling load</subject><subject>Composite structures</subject><subject>Differential equations</subject><subject>Graphene</subject><subject>Isogeometric analysis</subject><subject>Mathematical analysis</subject><subject>Nanoplate</subject><subject>Nanostructure</subject><subject>Non-local theory</subject><subject>Stress-strain relationships</subject><subject>Thickness</subject><issn>0263-8223</issn><issn>1879-1085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNqFkE1r3DAQhkVoINs0_0HHXOxq5C_tMbu0TSGQS3oWsjxKtLGlrUYu5N9Xy7bkmNPAzPO-MA9jHEQNAvqvh9rG5Ug5rTbXsmxqgFps5QXbgBq2FQjVfWIbIfumUlI2V-wz0UEIoVqADTvsVvs6-_DMTTDzG3ni0fEQQ7UG72JaeH7x9jUgEQ8mxONsMhL3ofAcZ0PZW77g5NeFr3TqyS_IPcVnjAvmVK7_i7-wS2dmwpt_85r9-v7taX9fPTz--Lm_e6hs00GumqEd7CSVE2M_WSecAJBDi9PopJVoRhxFP8rtMLpOlYfbcWhH1fWymUpiOzTX7Pbce0zx94qU9eLJ4jybgHElDUoJAUMrm4KqM2pTJEro9DH5xaQ3DUKf9OqDfterT3o1gC56S3R3jmJ55Y_HpMl6DLaoSFjYKfqPS_4CpYSL1Q</recordid><startdate>20170215</startdate><enddate>20170215</enddate><creator>Banh-Thien, T.</creator><creator>Dang-Trung, H.</creator><creator>Le-Anh, L.</creator><creator>Ho-Huu, V.</creator><creator>Nguyen-Thoi, T.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20170215</creationdate><title>Buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis</title><author>Banh-Thien, T. ; Dang-Trung, H. ; Le-Anh, L. ; Ho-Huu, V. ; Nguyen-Thoi, T.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c351t-3747cd28f0b6dcf0f011274edbf2c2eabeb06b297bf582014b74b85623d0b6973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Buckling</topic><topic>Buckling load</topic><topic>Composite structures</topic><topic>Differential equations</topic><topic>Graphene</topic><topic>Isogeometric analysis</topic><topic>Mathematical analysis</topic><topic>Nanoplate</topic><topic>Nanostructure</topic><topic>Non-local theory</topic><topic>Stress-strain relationships</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Banh-Thien, T.</creatorcontrib><creatorcontrib>Dang-Trung, H.</creatorcontrib><creatorcontrib>Le-Anh, L.</creatorcontrib><creatorcontrib>Ho-Huu, V.</creatorcontrib><creatorcontrib>Nguyen-Thoi, T.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Composite structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Banh-Thien, T.</au><au>Dang-Trung, H.</au><au>Le-Anh, L.</au><au>Ho-Huu, V.</au><au>Nguyen-Thoi, T.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis</atitle><jtitle>Composite structures</jtitle><date>2017-02-15</date><risdate>2017</risdate><volume>162</volume><spage>182</spage><epage>193</epage><pages>182-193</pages><issn>0263-8223</issn><eissn>1879-1085</eissn><abstract>The paper presents a new numerical approach for buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis (IGA). By ignoring the van der Waals interaction between two adjacent plates, non-uniform thickness nanoplates are described as a single-layered graphene sheet. The governing differential equation of the nanoplates is derived by the nonlocal theory in which the nonlocal stress-strain relation is used to capture the nonlocal mechanics caused by small size effects. The governing equation is then discretized into algebraic equations and solved by using IGA procedure to determine the critical buckling load. By using the non-uniform rational B-splines, IGA easily satisfies the required continuity of the partial differential equations in buckling analysis. Several numerical examples are solved and compared with those of previous publications to illustrate the performance of IGA for buckling analysis of nanoplates.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruct.2016.11.092</doi><tpages>12</tpages></addata></record> |
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| language | eng |
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| subjects | Buckling Buckling load Composite structures Differential equations Graphene Isogeometric analysis Mathematical analysis Nanoplate Nanostructure Non-local theory Stress-strain relationships Thickness |
| title | Buckling analysis of non-uniform thickness nanoplates in an elastic medium using the isogeometric analysis |
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