Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory
This paper proposes a finite element method (FEM) for the free vibration analysis of sandwich nanoplates with an auxetic honeycomb core. The proposed method uses a third-order shear deformation theory accounting for both shear deformation and stretching effects without any need for shear correction...
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| Veröffentlicht in: | Engineering with computers 2023-02, Vol.39 (1), p.233-251 |
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| creator | Pham, Quoc-Hoa Nguyen, Phu-Cuong Tran, Trung Thanh Nguyen-Thoi, Trung |
| description | This paper proposes a finite element method (FEM) for the free vibration analysis of sandwich nanoplates with an auxetic honeycomb core. The proposed method uses a third-order shear deformation theory accounting for both shear deformation and stretching effects without any need for shear correction factors. The size-dependent effect is solved using the nonlocal elasticity theory. The auxetic sandwich nanoplate with negative Poisson’s ratio is applied to achieve ultra-light features and high strength. The obtained numerical results by the proposed method are compared with other published works to demonstrate the accuracy and reliability. Moreover, the influence of the nonlocal factor, geometrics parameters, and material properties (especially the auxetic honeycomb parameters) on the free vibration behavior of sandwich nanoplates is also examined in the numerical examples. |
| doi_str_mv | 10.1007/s00366-021-01531-3 |
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The proposed method uses a third-order shear deformation theory accounting for both shear deformation and stretching effects without any need for shear correction factors. The size-dependent effect is solved using the nonlocal elasticity theory. The auxetic sandwich nanoplate with negative Poisson’s ratio is applied to achieve ultra-light features and high strength. The obtained numerical results by the proposed method are compared with other published works to demonstrate the accuracy and reliability. Moreover, the influence of the nonlocal factor, geometrics parameters, and material properties (especially the auxetic honeycomb parameters) on the free vibration behavior of sandwich nanoplates is also examined in the numerical examples.</description><identifier>ISSN: 0177-0667</identifier><identifier>EISSN: 1435-5663</identifier><identifier>DOI: 10.1007/s00366-021-01531-3</identifier><language>eng</language><publisher>London: Springer London</publisher><subject>Accuracy ; CAE) and Design ; Calculus of Variations and Optimal Control; Optimization ; Civil engineering ; Classical Mechanics ; Composite materials ; Computational mathematics ; Computational Modeling based on nonlocal theory ; Computer Science ; Computer-Aided Engineering (CAD ; Control ; Deformation ; Deformation effects ; Experimental methods ; Finite element analysis ; Finite element method ; Free vibration ; Graphene ; Honey ; Honeycomb cores ; Material properties ; Math. 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The proposed method uses a third-order shear deformation theory accounting for both shear deformation and stretching effects without any need for shear correction factors. The size-dependent effect is solved using the nonlocal elasticity theory. The auxetic sandwich nanoplate with negative Poisson’s ratio is applied to achieve ultra-light features and high strength. The obtained numerical results by the proposed method are compared with other published works to demonstrate the accuracy and reliability. Moreover, the influence of the nonlocal factor, geometrics parameters, and material properties (especially the auxetic honeycomb parameters) on the free vibration behavior of sandwich nanoplates is also examined in the numerical examples.</description><subject>Accuracy</subject><subject>CAE) and Design</subject><subject>Calculus of Variations and Optimal Control; Optimization</subject><subject>Civil engineering</subject><subject>Classical Mechanics</subject><subject>Composite materials</subject><subject>Computational mathematics</subject><subject>Computational Modeling based on nonlocal theory</subject><subject>Computer Science</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Control</subject><subject>Deformation</subject><subject>Deformation effects</subject><subject>Experimental methods</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Free vibration</subject><subject>Graphene</subject><subject>Honey</subject><subject>Honeycomb cores</subject><subject>Material properties</subject><subject>Math. Applications in Chemistry</subject><subject>Mathematical and Computational Engineering</subject><subject>Nonlocal elasticity</subject><subject>Numerical analysis</subject><subject>Original Article</subject><subject>Parameters</subject><subject>Poisson's ratio</subject><subject>Reliability aspects</subject><subject>Research methodology</subject><subject>Shear deformation</subject><subject>Systems Theory</subject><subject>Vibration analysis</subject><subject>Workers</subject><issn>0177-0667</issn><issn>1435-5663</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNp9kMFO3DAQhq0KpC7QF-jJEme3YztxkmOFoFRC6gXO1sSZsEZZe2t7oXmJPnNdFolbT3OY__tH8zH2WcIXCdB9zQDaGAFKCpCtlkJ_YBvZ6Fa0xugTtgHZdQKM6T6ys5yfAKQGGDbsz00i4s9-TFh8DBwDLmv2mceZBwxxv2ChzF982XI8_KbiHd_GQKuLu5G7mIgfsg-PHHmgF162Pk0ipokSn33whTgttKNQ-I7KNk71wMRDDEt0uNQd5troy1pJimm9YKczLpk-vc1z9nBzfX91K-5-fv9x9e1OOC2HInBom1aZee76wfXoWofdpFwzahwHUu00olF9YyTh3KhJj1opPYMB3TUNGKfP2eWxd5_irwPlYp_iIdXfs1Vd3_ZVpm5qSh1TLsWcE812n_wO02ol2H_e7dG7rd7tq3erK6SPUK7h8Ejpvfo_1F-ihYi5</recordid><startdate>20230201</startdate><enddate>20230201</enddate><creator>Pham, Quoc-Hoa</creator><creator>Nguyen, Phu-Cuong</creator><creator>Tran, Trung Thanh</creator><creator>Nguyen-Thoi, Trung</creator><general>Springer London</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><orcidid>https://orcid.org/0000-0001-7985-6706</orcidid></search><sort><creationdate>20230201</creationdate><title>Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory</title><author>Pham, Quoc-Hoa ; Nguyen, Phu-Cuong ; Tran, Trung Thanh ; Nguyen-Thoi, Trung</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-a954526ff789c8ac5ca7d2c4b3ab9e25dba628461eaf42d3b3223f060374406c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Accuracy</topic><topic>CAE) and Design</topic><topic>Calculus of Variations and Optimal Control; Optimization</topic><topic>Civil engineering</topic><topic>Classical Mechanics</topic><topic>Composite materials</topic><topic>Computational mathematics</topic><topic>Computational Modeling based on nonlocal theory</topic><topic>Computer Science</topic><topic>Computer-Aided Engineering (CAD</topic><topic>Control</topic><topic>Deformation</topic><topic>Deformation effects</topic><topic>Experimental methods</topic><topic>Finite element analysis</topic><topic>Finite element method</topic><topic>Free vibration</topic><topic>Graphene</topic><topic>Honey</topic><topic>Honeycomb cores</topic><topic>Material properties</topic><topic>Math. Applications in Chemistry</topic><topic>Mathematical and Computational Engineering</topic><topic>Nonlocal elasticity</topic><topic>Numerical analysis</topic><topic>Original Article</topic><topic>Parameters</topic><topic>Poisson's ratio</topic><topic>Reliability aspects</topic><topic>Research methodology</topic><topic>Shear deformation</topic><topic>Systems Theory</topic><topic>Vibration analysis</topic><topic>Workers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pham, Quoc-Hoa</creatorcontrib><creatorcontrib>Nguyen, Phu-Cuong</creatorcontrib><creatorcontrib>Tran, Trung Thanh</creatorcontrib><creatorcontrib>Nguyen-Thoi, Trung</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering 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><collection>Computing Database</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</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>Engineering with computers</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pham, Quoc-Hoa</au><au>Nguyen, Phu-Cuong</au><au>Tran, Trung Thanh</au><au>Nguyen-Thoi, Trung</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory</atitle><jtitle>Engineering with computers</jtitle><stitle>Engineering with Computers</stitle><date>2023-02-01</date><risdate>2023</risdate><volume>39</volume><issue>1</issue><spage>233</spage><epage>251</epage><pages>233-251</pages><issn>0177-0667</issn><eissn>1435-5663</eissn><abstract>This paper proposes a finite element method (FEM) for the free vibration analysis of sandwich nanoplates with an auxetic honeycomb core. The proposed method uses a third-order shear deformation theory accounting for both shear deformation and stretching effects without any need for shear correction factors. The size-dependent effect is solved using the nonlocal elasticity theory. The auxetic sandwich nanoplate with negative Poisson’s ratio is applied to achieve ultra-light features and high strength. The obtained numerical results by the proposed method are compared with other published works to demonstrate the accuracy and reliability. Moreover, the influence of the nonlocal factor, geometrics parameters, and material properties (especially the auxetic honeycomb parameters) on the free vibration behavior of sandwich nanoplates is also examined in the numerical examples.</abstract><cop>London</cop><pub>Springer London</pub><doi>10.1007/s00366-021-01531-3</doi><tpages>19</tpages><orcidid>https://orcid.org/0000-0001-7985-6706</orcidid></addata></record> |
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| subjects | Accuracy CAE) and Design Calculus of Variations and Optimal Control Optimization Civil engineering Classical Mechanics Composite materials Computational mathematics Computational Modeling based on nonlocal theory Computer Science Computer-Aided Engineering (CAD Control Deformation Deformation effects Experimental methods Finite element analysis Finite element method Free vibration Graphene Honey Honeycomb cores Material properties Math. Applications in Chemistry Mathematical and Computational Engineering Nonlocal elasticity Numerical analysis Original Article Parameters Poisson's ratio Reliability aspects Research methodology Shear deformation Systems Theory Vibration analysis Workers |
| title | Free vibration analysis of nanoplates with auxetic honeycomb core using a new third-order finite element method and nonlocal elasticity theory |
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