{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T17:24:18Z","timestamp":1775064258222,"version":"3.50.1"},"reference-count":50,"publisher":"Tech Science Press","issue":"3","license":[{"start":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T00:00:00Z","timestamp":1761436800000},"content-version":"vor","delay-in-days":298,"URL":"https:\/\/doi.org\/10.32604\/TSP-CROSSMARKPOLICY"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["CMC"],"published-print":{"date-parts":[[2025]]},"DOI":"10.32604\/cmc.2025.068518","type":"journal-article","created":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T14:39:27Z","timestamp":1759415967000},"page":"4491-4518","update-policy":"https:\/\/doi.org\/10.32604\/tsp-crossmarkpolicy","source":"Crossref","is-referenced-by-count":1,"title":["Magneto-Electro-Elastic 3D Coupling in Free Vibrations of Layered Plates"],"prefix":"10.32604","volume":"85","author":[{"given":"Salvatore","family":"Brischetto","sequence":"first","affiliation":[]},{"given":"Domenico","family":"Cesare","sequence":"additional","affiliation":[]},{"given":"Tommaso","family":"Mondino","sequence":"additional","affiliation":[]}],"member":"17807","published-online":{"date-parts":[[2025]]},"reference":[{"key":"ref1","author":"Tornabene","year":"2023","journal-title":"Higher-order strong andweak formultions for arbitrarily shaped shell structures"},{"key":"ref2","author":"Zhu","year":"2010","journal-title":"Piezoelectric ceramic materials processing, properties, characterization and applications, materials science and technologies"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"113015","DOI":"10.1016\/j.tws.2025.113015","article-title":"Vibration reduction study of a simplified floating raft system by installing connecting nonlinear spring-mass systems","volume":"210","author":"Mi","year":"2025","journal-title":"Thin-Walled Struct"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"1531","DOI":"10.1177\/14613484231157514","article-title":"A time-domain method for free vibration responses of an equivalent viscous damped system based on a complex damping model","volume":"42","author":"Wang","year":"2023","journal-title":"J Low Frequency Noise Vib Active Control"},{"key":"ref5","article-title":"Vibration performance of composite doubly curved shells embedded with damping layer","author":"Zhai","year":"2025","journal-title":"Int J Struct Stab Dyn"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"2142","DOI":"10.1109\/TMECH.2022.3231263","article-title":"Adaptive pseudoinverse control for constrained hysteretic nonlinear systems and its application on dielectric elastomer actuator","volume":"28","author":"Zhang","year":"2023","journal-title":"IEEE\/ASME Trans Mechatron"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"106235","DOI":"10.1016\/j.compstruc.2020.106235","article-title":"Nonlocal operator method with numerical integration for gradient solid","volume":"233","author":"Ren","year":"2020","journal-title":"Comput Struct"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1163\/157361109787959859","article-title":"Refined multilayered plate elements for coupled magneto-electro-elastic analysis","volume":"5","author":"Carrera","year":"2009","journal-title":"Multidiscip Model Mater Struct"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1016\/j.compstruct.2017.11.031","article-title":"Natural characteristics analysis of magneto-electro-elastic multilayered plate using analytical and finite element method","volume":"185","author":"Yang","year":"2018","journal-title":"Compos Struct"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"1016","DOI":"10.1016\/j.jsv.2005.12.030","article-title":"Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method","volume":"294","author":"Bhangale","year":"2006","journal-title":"J Sound Vib"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"4017","DOI":"10.1016\/j.jsv.2014.03.035","article-title":"Free vibration of three-dimensional multilayered magneto-electro-elastic plates under combined clamped\/free boundary conditions","volume":"333","author":"Chen","year":"2014","journal-title":"J Sound Vib"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"5780","DOI":"10.1016\/j.apm.2012.01.028","article-title":"On dispersion relations of waves in multilayered magneto-electro-elastic plates","volume":"36","author":"Jiangong","year":"2012","journal-title":"Appl Math Model"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"118054","DOI":"10.1016\/j.compstruct.2024.118054","article-title":"Dynamic response of magneto-electro-elastic composite plates lying on visco-Pasternak medium subjected to blast load","volume":"337","author":"Pham","year":"2024","journal-title":"Compos Struct"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.compstruct.2014.03.050","article-title":"Smart damping of geometrically nonlinear vibrations of magneto-electro-elastic plates","volume":"114","author":"Kattimani","year":"2014","journal-title":"Compos Struct"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"114149","DOI":"10.1016\/j.compstruct.2021.114149","article-title":"Analysis of nonlinear vibration of magneto-electro-elastic plate on elastic foundation based on high-order shear deformation","volume":"271","author":"Xu","year":"2021","journal-title":"Compos Struct"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1016\/j.compositesb.2018.09.086","article-title":"A higher-order free vibration analysis of carbon nanotube-reinforced magneto-electro-elastic plates using finite element methods","volume":"158","author":"Vinyas","year":"2019","journal-title":"Compos Part B Eng"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/j.compstruct.2014.12.003","article-title":"Variable kinematics models and finite elements for nonlinear analysis of multilayered smart plates","volume":"122","author":"Milazzo","year":"2015","journal-title":"Compos Struct"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.compositesb.2014.01.055","article-title":"Refined equivalent single layer formulations and finite elements for smart laminates free vibrations","volume":"61","author":"Milazzo","year":"2014","journal-title":"Compos Part B Eng"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"075031","DOI":"10.1088\/0964-1726\/21\/7\/075031","article-title":"An equivalent single-layer approach for free vibration analysis of smart laminated thick composite plates","volume":"21","author":"Milazzo","year":"2012","journal-title":"Smart Mater Struct"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.enganabound.2010.10.004","article-title":"A regular variational boundary model for free vibrations of magneto-electro-elastic structures","volume":"35","author":"Dav\u00ec","year":"2011","journal-title":"Eng Anal Bound Elem"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"1339","DOI":"10.1016\/j.compstruct.2018.06.069","article-title":"Finite element evaluation of free vibration characteristics of magneto-electro-elastic rectangular plates in hygrothermal environment using higher-order shear deformation theory","volume":"202","author":"Vinyas","year":"2018","journal-title":"Compos Struct"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1016\/j.jsv.2005.08.004","article-title":"Free vibration response of two-dimensional magneto-electro-elastic laminated plates","volume":"292","author":"Ramirez","year":"2006","journal-title":"J Sound Vib"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"21248","DOI":"10.1016\/j.matpr.2018.06.525","article-title":"Free vibration of multilayered magneto-electro-elastic plates with skewed edges using layer wise shear deformation theory","volume":"5","author":"Kiran","year":"2018","journal-title":"Mater Today Proc"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/s11071-017-3652-5","article-title":"Analytical modeling for nonlinear vibration analysis of partially cracked thin magneto-electro-elastic plate coupled with fluid","volume":"90","author":"Soni","year":"2017","journal-title":"Nonlinear Dyn"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"106662","DOI":"10.1016\/j.cnsns.2022.106662","article-title":"Two-degrees-of-freedom nonlinear free vibration analysis of magneto-electro-elastic plate based on high order shear deformation theory","volume":"114","author":"Xu","year":"2022","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"858","DOI":"10.1016\/j.ijmecsci.2019.05.029","article-title":"Bending and free vibration of a circular magnetoelectroelastic plate with surface effects","volume":"157\u2013158","author":"Yang","year":"2019","journal-title":"Int J Mech Sci"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1016\/j.jsv.2007.03.021","article-title":"Modal analysis of magneto-electro-elastic plates using the state-vector approach","volume":"304","author":"Chen","year":"2007","journal-title":"J Sound Vib"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.1016\/j.ijsolstr.2006.06.003","article-title":"Wave propagation in magneto-electro-elastic multilayered plates","volume":"44","author":"Chen","year":"2007","journal-title":"Int J Solids Strct"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1016\/j.jsv.2017.04.001","article-title":"Wave propagation in magneto-electro-elastic multilayered plates with nonlocal effect","volume":"400","author":"Chen","year":"2017","journal-title":"J Sound Vib"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1006\/jsvi.2001.3693","article-title":"Free vibrations of simply supported and multilayered magneto-electro-elastic plates","volume":"252","author":"Pan","year":"2002","journal-title":"J Sound Vib"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"105906","DOI":"10.1016\/j.ijmecsci.2020.105906","article-title":"Analytical solutions for nonlinear magneto-electro-elastic vibration of smart sandwich plate with carbon nanotube reinforced nanocomposite core in hygrothermal environment","volume":"186","author":"Dat","year":"2020","journal-title":"Int J Mech Sci"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"1318","DOI":"10.1016\/j.compstruct.2009.11.013","article-title":"State vector approach of free-vibration analysis of magneto-electro-elastic hybrid laminated plates","volume":"92","author":"Wang","year":"2010","journal-title":"Compos Struct"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/j.compstruct.2014.08.034","article-title":"Nonlinear free vibration of magneto-electro-elastic rectangular plates","volume":"119","author":"Razavi","year":"2015","journal-title":"Compos Struct"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.compstruct.2014.11.030","article-title":"Free vibration of simply supported and multilayered magneto-electro-elastic plates","volume":"121","author":"Xin","year":"2015","journal-title":"Compos Struct"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"115661","DOI":"10.1016\/j.compstruct.2022.115661","article-title":"Wave motion of magneto-electro-elastic laminated plates with membrane-type interfacial imperfections","volume":"293","author":"Kuo","year":"2022","journal-title":"Compos Struct"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"109846","DOI":"10.1016\/j.ast.2024.109846","article-title":"Vibration analysis of a magneto-electro-elastic sandwich composite plate with a new honeycomb structure core layer in a thermal environment","volume":"157","author":"Dinh","year":"2025","journal-title":"Aerosp Sci Technol"},{"key":"ref37","first-page":"1","article-title":"Modeling and numerical simulation of the dynamic behavior of magneto-electro-elastic multilayer plates based on aWinkler-Pasternak elastic foundation","volume":"32","author":"Hamidi","year":"2020","journal-title":"J Intell Mater Syst Struct"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1007\/s10409-014-0072-3","article-title":"Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory","volume":"30","author":"Ke","year":"2014","journal-title":"Acta Mech Sin"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1016\/j.compstruct.2014.01.033","article-title":"Buckling and free vibration of magnetoelectroelastic nanoplate based on nonlocal theory","volume":"111","author":"Li","year":"2014","journal-title":"Compos Struct"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"758","DOI":"10.4028\/www.scientific.net\/AMM.284-287.758","article-title":"Free vibration of fluid-loaded transversely isotropic magneto-electro-elastic plates","volume":"284\u2013287","author":"Chang","year":"2013","journal-title":"Appl Mech Mater"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"105035","DOI":"10.1088\/0964-1726\/25\/10\/105035","article-title":"Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modified strain gradient theory","volume":"25","author":"Jamalpoor","year":"2016","journal-title":"Smart Mater Struct"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1177\/1045389X16649451","article-title":"Vibration of a multiphase magneto-electro-elastic simply supported rectangular plate subjected to harmonic forces","volume":"28","author":"Shooshtari","year":"2016","journal-title":"J Intell Mater Syst Struct"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"118413","DOI":"10.1016\/j.compstruct.2024.118413","article-title":"Three-dimensional vibration analysis of multilayered composite and functionally graded piezoelectric plates and shells","volume":"346","author":"Brischetto","year":"2024","journal-title":"Compos Struct"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"112620","DOI":"10.1016\/j.tws.2024.112620","article-title":"A 3D shell model for static and free vibration analysis of multilayered magneto-elastic structures","volume":"206","author":"Brischetto","year":"2025","journal-title":"Thin-Walled Struct"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"1450076","DOI":"10.1142\/S1758825114500768","article-title":"An exact 3D solution for free vibrations of multilayered cross-ply composite and sandwich plates and shells","volume":"6","author":"Brischetto","year":"2014","journal-title":"Int J Appl Mech"},{"key":"ref46","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-15335-3","author":"Povstenko","year":"2015","journal-title":"Fractional thermoelasticity"},{"key":"ref47","author":"Boyce","year":"2001","journal-title":"Elementary differential equations and boundary value problems"},{"key":"ref48","author":"Reddy","year":"2014","journal-title":"Theory and analysis"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.jsv.2003.10.033","article-title":"On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates","volume":"279","author":"Chen","year":"2005","journal-title":"J Sound Vib"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1007\/s00033-002-8184-1","article-title":"Three-dimensional Green\u2019s functions in anisotropic magneto-electro-elastic bimaterials","volume":"53","author":"Pan","year":"2002","journal-title":"Zeitschrift Fur Angewandte Mathematik Und Physik ZAMP"}],"container-title":["Computers, Materials & Continua"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/cdn.techscience.cn\/files\/cmc\/2025\/TSP_CMC-85-3\/TSP_CMC_68518\/TSP_CMC_68518.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T02:23:00Z","timestamp":1763346180000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.techscience.com\/cmc\/v85n3\/64183"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":50,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2025]]},"published-print":{"date-parts":[[2025]]}},"URL":"https:\/\/doi.org\/10.32604\/cmc.2025.068518","relation":{},"ISSN":["1546-2226"],"issn-type":[{"value":"1546-2226","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"2025-05-30","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-09-03","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-10-23","order":2,"name":"published","label":"Published Online","group":{"name":"publication_history","label":"Publication History"}}]}}