{"data":{"id":"10.6084/m9.figshare.5667109.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.5667109.v1","prefix":"10.6084","suffix":"m9.figshare.5667109.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Miranda, Edson Jansen Pedrosa De","nameType":"Personal","givenName":"Edson Jansen Pedrosa De","familyName":"Miranda","affiliation":[],"nameIdentifiers":[]},{"name":"Santos, José Maria Campos Dos","nameType":"Personal","givenName":"José Maria Campos Dos","familyName":"Santos","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Complete Band Gaps in Nano-Piezoelectric Phononic Crystals"}],"publisher":"SciELO journals","container":{},"publicationYear":2017,"subjects":[{"subject":"90499 Chemical Engineering not elsewhere classified","subjectScheme":"FOR"},{"subject":"FOS: Chemical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Chemical engineering","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"91207 Metals and Alloy Materials","subjectScheme":"FOR"},{"subject":"FOS: Materials engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Materials engineering","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"91299 Materials Engineering not elsewhere classified","subjectScheme":"FOR"}],"contributors":[],"dates":[{"date":"2017-12-05","dateType":"Created"},{"date":"2017-12-05","dateType":"Updated"},{"date":"2017","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1590/1980-5373-mr-2017-0298","relatedIdentifierType":"DOI"},{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.5667109","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["13299667 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"We study the band structure of elastic waves propagating in a nano-piezoelectric phononic crystal consisting of a polymeric matrix reinforced by BaTiO3 inclusions in square, rectangular, triangular, honeycomb and Kagomé lattices. We also investigate the influence of inclusion cross section geometry - circular, hollow circular, square and rotated square with a 45º angle of rotation with respect to x and y axes. Plane wave expansion method is used to solve the governing equations of motion of a piezoelectric solid based on classical elasticity theory, ignoring nanoscopic size effects, considering two-dimensional periodicity and wave propagation in the xy plane. Complete band gaps between XY and Z modes are observed for all inclusions and the best performance is for circular inclusion in a triangular lattice. Piezoelectricity influences significantly the band gaps for hollow circular inclusion in lower frequencies. We suggest that nano-piezoelectric phononic crystals are feasible for elastic vibration management in GHz.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://scielo.figshare.com/articles/Complete_Band_Gaps_in_Nano-Piezoelectric_Phononic_Crystals/5667109/1","contentUrl":null,"metadataVersion":2,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":2,"viewsOverTime":[{"yearMonth":"2025-06","total":2}],"downloadCount":0,"downloadsOverTime":[{"yearMonth":"2025-06","total":0}],"referenceCount":1,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2017-12-05T09:02:05.000Z","registered":"2017-12-05T09:02:06.000Z","published":"2017","updated":"2020-08-31T09:53:13.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars",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