Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams
The analysis of wave propagation behavior of a magneto-electro-elastic functionally graded (MEE-FG) nanobeam is performed in the framework of classical beam theory. To capture small-scale effects, the nonlocal elasticity theory of Eringen is applied. Furthermore, the material properties of nanobeam...
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| Veröffentlicht in: | Applied physics. A, Materials science & processing Materials science & processing, 2016-11, Vol.122 (11), p.1-12, Article 949 |
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| container_title | Applied physics. A, Materials science & processing |
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| creator | Ebrahimi, Farzad Barati, Mohammad Reza Dabbagh, Ali |
| description | The analysis of wave propagation behavior of a magneto-electro-elastic functionally graded (MEE-FG) nanobeam is performed in the framework of classical beam theory. To capture small-scale effects, the nonlocal elasticity theory of Eringen is applied. Furthermore, the material properties of nanobeam are assumed to vary gradually through the thickness based on power-law form. Nonlocal governing equations of MEE-FG nanobeam have been derived employing Hamilton’s principle. The results of present research have been validated by comparing with those of previous investigations. An analytical solution of governing equations is utilized to obtain wave frequencies, phase velocities and escape frequencies. Effects of various parameters such as wave number, nonlocal parameter, gradient index, axial load, magnetic potential and electric voltage on wave dispersion characteristics of MEE-FG nanoscale beams are studied in detail. |
| doi_str_mv | 10.1007/s00339-016-0465-1 |
| format | Article |
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To capture small-scale effects, the nonlocal elasticity theory of Eringen is applied. Furthermore, the material properties of nanobeam are assumed to vary gradually through the thickness based on power-law form. Nonlocal governing equations of MEE-FG nanobeam have been derived employing Hamilton’s principle. The results of present research have been validated by comparing with those of previous investigations. An analytical solution of governing equations is utilized to obtain wave frequencies, phase velocities and escape frequencies. Effects of various parameters such as wave number, nonlocal parameter, gradient index, axial load, magnetic potential and electric voltage on wave dispersion characteristics of MEE-FG nanoscale beams are studied in detail.</description><identifier>ISSN: 0947-8396</identifier><identifier>EISSN: 1432-0630</identifier><identifier>DOI: 10.1007/s00339-016-0465-1</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Applied physics ; Axial loads ; Beam theory (structures) ; Beams (radiation) ; Characterization and Evaluation of Materials ; Condensed Matter Physics ; Elastic analysis ; Electric potential ; Functionally gradient materials ; Machines ; Manufacturing ; Material properties ; Materials science ; Mathematical analysis ; Nanostructure ; Nanotechnology ; Nonlocal elasticity ; Optical and Electronic Materials ; Parameters ; Physics ; Physics and Astronomy ; Processes ; Surfaces and Interfaces ; Thin Films ; Voltage ; Wave dispersion ; Wave propagation</subject><ispartof>Applied physics. 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A, Materials science & processing</title><addtitle>Appl. Phys. A</addtitle><description>The analysis of wave propagation behavior of a magneto-electro-elastic functionally graded (MEE-FG) nanobeam is performed in the framework of classical beam theory. To capture small-scale effects, the nonlocal elasticity theory of Eringen is applied. Furthermore, the material properties of nanobeam are assumed to vary gradually through the thickness based on power-law form. Nonlocal governing equations of MEE-FG nanobeam have been derived employing Hamilton’s principle. The results of present research have been validated by comparing with those of previous investigations. An analytical solution of governing equations is utilized to obtain wave frequencies, phase velocities and escape frequencies. Effects of various parameters such as wave number, nonlocal parameter, gradient index, axial load, magnetic potential and electric voltage on wave dispersion characteristics of MEE-FG nanoscale beams are studied in detail.</description><subject>Applied physics</subject><subject>Axial loads</subject><subject>Beam theory (structures)</subject><subject>Beams (radiation)</subject><subject>Characterization and Evaluation of Materials</subject><subject>Condensed Matter Physics</subject><subject>Elastic analysis</subject><subject>Electric potential</subject><subject>Functionally gradient materials</subject><subject>Machines</subject><subject>Manufacturing</subject><subject>Material properties</subject><subject>Materials science</subject><subject>Mathematical analysis</subject><subject>Nanostructure</subject><subject>Nanotechnology</subject><subject>Nonlocal elasticity</subject><subject>Optical and Electronic Materials</subject><subject>Parameters</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Processes</subject><subject>Surfaces and Interfaces</subject><subject>Thin Films</subject><subject>Voltage</subject><subject>Wave dispersion</subject><subject>Wave propagation</subject><issn>0947-8396</issn><issn>1432-0630</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLxDAUhYMoOI7-AHcFN26iN88mSxl8wYALB1yGtL0dO7TNmHRE_70d60IE7-ZsvnO4fIScM7hiAPl1AhDCUmCagtSKsgMyY1JwClrAIZmBlTk1wupjcpLSBsaTnM_I84t_x6xq0hZjakKfla8--nLA2KShKVMW6sx_NL5tP7M2-AqrrPPrHodAscVyiPv0ezTrfR8K9F06JUe1bxOe_eScrO5uV4sHuny6f1zcLGkppB2oh8oXtrIFV5XUWBnNlKgtAOYSLCqt0ajcQq1UYSpeSC_B8BpzoXKJUszJ5TS7jeFth2lwXZNKbFvfY9glx4wBYFyBGdGLP-gm7GI_PvdNGcnl6GlO2ESVMaQUsXbb2HQ-fjoGbm_ZTZbdaNntLTs2dvjUSSPbrzH-Wv639AVyl381</recordid><startdate>20161101</startdate><enddate>20161101</enddate><creator>Ebrahimi, Farzad</creator><creator>Barati, Mohammad Reza</creator><creator>Dabbagh, Ali</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-9091-4647</orcidid></search><sort><creationdate>20161101</creationdate><title>Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams</title><author>Ebrahimi, Farzad ; Barati, Mohammad Reza ; Dabbagh, Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-a0dab9d9b25d46ed86153f900e7409e566e85790f55b8d2b4a4082fe73574e43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Applied physics</topic><topic>Axial loads</topic><topic>Beam theory (structures)</topic><topic>Beams (radiation)</topic><topic>Characterization and Evaluation of Materials</topic><topic>Condensed Matter Physics</topic><topic>Elastic analysis</topic><topic>Electric potential</topic><topic>Functionally gradient materials</topic><topic>Machines</topic><topic>Manufacturing</topic><topic>Material properties</topic><topic>Materials science</topic><topic>Mathematical analysis</topic><topic>Nanostructure</topic><topic>Nanotechnology</topic><topic>Nonlocal elasticity</topic><topic>Optical and Electronic Materials</topic><topic>Parameters</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Processes</topic><topic>Surfaces and Interfaces</topic><topic>Thin Films</topic><topic>Voltage</topic><topic>Wave dispersion</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ebrahimi, Farzad</creatorcontrib><creatorcontrib>Barati, Mohammad Reza</creatorcontrib><creatorcontrib>Dabbagh, Ali</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Applied physics. A, Materials science & processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ebrahimi, Farzad</au><au>Barati, Mohammad Reza</au><au>Dabbagh, Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams</atitle><jtitle>Applied physics. A, Materials science & processing</jtitle><stitle>Appl. Phys. A</stitle><date>2016-11-01</date><risdate>2016</risdate><volume>122</volume><issue>11</issue><spage>1</spage><epage>12</epage><pages>1-12</pages><artnum>949</artnum><issn>0947-8396</issn><eissn>1432-0630</eissn><abstract>The analysis of wave propagation behavior of a magneto-electro-elastic functionally graded (MEE-FG) nanobeam is performed in the framework of classical beam theory. To capture small-scale effects, the nonlocal elasticity theory of Eringen is applied. Furthermore, the material properties of nanobeam are assumed to vary gradually through the thickness based on power-law form. Nonlocal governing equations of MEE-FG nanobeam have been derived employing Hamilton’s principle. The results of present research have been validated by comparing with those of previous investigations. An analytical solution of governing equations is utilized to obtain wave frequencies, phase velocities and escape frequencies. Effects of various parameters such as wave number, nonlocal parameter, gradient index, axial load, magnetic potential and electric voltage on wave dispersion characteristics of MEE-FG nanoscale beams are studied in detail.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00339-016-0465-1</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0001-9091-4647</orcidid></addata></record> |
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| subjects | Applied physics Axial loads Beam theory (structures) Beams (radiation) Characterization and Evaluation of Materials Condensed Matter Physics Elastic analysis Electric potential Functionally gradient materials Machines Manufacturing Material properties Materials science Mathematical analysis Nanostructure Nanotechnology Nonlocal elasticity Optical and Electronic Materials Parameters Physics Physics and Astronomy Processes Surfaces and Interfaces Thin Films Voltage Wave dispersion Wave propagation |
| title | Wave dispersion characteristics of axially loaded magneto-electro-elastic nanobeams |
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