BENDING OF THIN ELECTROMAGNETOELASTIC PLATES
Main correlations in the theory of bending of thin electromagnetoelastic plates are obtained, in which complex potentials are used. Exact analytical solutions are obtained for the problems of bending an elliptical plate and an infinite plate with an elliptical hole. It is established that no electri...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2022-04, Vol.63 (2), p.308-320 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Kaloerov, S. A. Seroshtanov, A. V. |
| description | Main correlations in the theory of bending of thin electromagnetoelastic plates are obtained, in which complex potentials are used. Exact analytical solutions are obtained for the problems of bending an elliptical plate and an infinite plate with an elliptical hole. It is established that no electric or magnetic inductions arise in the case of a simply connected finite plate under mechanical influences and no mechanical stresses arise under the action of inductions, despite the fact that the piezoelectric effect occurs due to deformations, displacements, and field potentials. The piezoelectric effect in the case of an infinite simply connected plate is always observed and has a significant effect on the values of bending moments. The influence of the physical and mechanical properties of materials and the geometric characteristics of holes on the values of bending moments in the case of a plate with an elliptical hole is studied. |
| doi_str_mv | 10.1134/S0021894422020146 |
| format | Article |
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A. ; Seroshtanov, A. V.</creator><creatorcontrib>Kaloerov, S. A. ; Seroshtanov, A. V.</creatorcontrib><description>Main correlations in the theory of bending of thin electromagnetoelastic plates are obtained, in which complex potentials are used. Exact analytical solutions are obtained for the problems of bending an elliptical plate and an infinite plate with an elliptical hole. It is established that no electric or magnetic inductions arise in the case of a simply connected finite plate under mechanical influences and no mechanical stresses arise under the action of inductions, despite the fact that the piezoelectric effect occurs due to deformations, displacements, and field potentials. The piezoelectric effect in the case of an infinite simply connected plate is always observed and has a significant effect on the values of bending moments. The influence of the physical and mechanical properties of materials and the geometric characteristics of holes on the values of bending moments in the case of a plate with an elliptical hole is studied.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1134/S0021894422020146</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Applications of Mathematics ; Bending moments ; Classical and Continuum Physics ; Classical Mechanics ; Deformation effects ; Elliptical plates ; Exact solutions ; Fluid- and Aerodynamics ; Material properties ; Mathematical Modeling and Industrial Mathematics ; Mechanical Engineering ; Mechanical properties ; Physical properties ; Physics ; Physics and Astronomy ; Piezoelectricity</subject><ispartof>Journal of applied mechanics and technical physics, 2022-04, Vol.63 (2), p.308-320</ispartof><rights>Pleiades Publishing, Ltd. 2022</rights><rights>Pleiades Publishing, Ltd. 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c246t-34804fd4c2a58e9917a0f9edffecbc474641f384614b7c6b09b2eef9c8c264623</citedby><cites>FETCH-LOGICAL-c246t-34804fd4c2a58e9917a0f9edffecbc474641f384614b7c6b09b2eef9c8c264623</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021894422020146$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021894422020146$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Kaloerov, S. 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The influence of the physical and mechanical properties of materials and the geometric characteristics of holes on the values of bending moments in the case of a plate with an elliptical hole is studied.</description><subject>Applications of Mathematics</subject><subject>Bending moments</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Deformation effects</subject><subject>Elliptical plates</subject><subject>Exact solutions</subject><subject>Fluid- and Aerodynamics</subject><subject>Material properties</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mechanical Engineering</subject><subject>Mechanical properties</subject><subject>Physical properties</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Piezoelectricity</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kLFOwzAURS0EEqXwAWyRWAk8Oy-OPYbgtpFCgmiYo8S1ERU0xW4H_r6pgsSAmN5wz7lPuoRcU7ijNML7JQCjQiIyBgwo8hMyoXEShYIzOCWTYxwe83Ny4f0aAKSgyYTcPqjyMS_nQTUL6kVeBqpQWf1SPaXzUtWVKtJlnWfBc5HWanlJzmz74c3Vz52S15mqs0VYVPM8S4tQM-S7MEIBaFeoWRsLIyVNWrDSrKw1utOYIEdqI4GcYpdo3oHsmDFWaqEZR86iKbkZe7eu_9obv2vW_d5thpcN40LECY2RDxQdKe16752xzda9f7buu6HQHEdp_owyOGx0_MBu3oz7bf5fOgAQ0l1C</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Kaloerov, S. 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V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c246t-34804fd4c2a58e9917a0f9edffecbc474641f384614b7c6b09b2eef9c8c264623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applications of Mathematics</topic><topic>Bending moments</topic><topic>Classical and Continuum Physics</topic><topic>Classical Mechanics</topic><topic>Deformation effects</topic><topic>Elliptical plates</topic><topic>Exact solutions</topic><topic>Fluid- and Aerodynamics</topic><topic>Material properties</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mechanical Engineering</topic><topic>Mechanical properties</topic><topic>Physical properties</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Piezoelectricity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kaloerov, S. 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| language | eng |
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| source | SpringerNature Journals |
| subjects | Applications of Mathematics Bending moments Classical and Continuum Physics Classical Mechanics Deformation effects Elliptical plates Exact solutions Fluid- and Aerodynamics Material properties Mathematical Modeling and Industrial Mathematics Mechanical Engineering Mechanical properties Physical properties Physics Physics and Astronomy Piezoelectricity |
| title | BENDING OF THIN ELECTROMAGNETOELASTIC PLATES |
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