Low-frequency dispersion of fundamental waves in anisotropic piezoelectric plates
Low-frequency onset of the fundamental branches in piezoplates is studied with a view to identify the impact of piezoelectric coupling. General analytical expressions for the zero- and leading-order terms of the velocity versus wavenumber expansion in an anisotropic homogeneous piezoplate are obtain...
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| Veröffentlicht in: | International journal of solids and structures 2010-12, Vol.47 (25), p.3377-3388 |
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| container_end_page | 3388 |
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| container_issue | 25 |
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| container_title | International journal of solids and structures |
| container_volume | 47 |
| creator | Shuvalov, A.L. Le Clezio, E. |
| description | Low-frequency onset of the fundamental branches in piezoplates is studied with a view to identify the impact of piezoelectric coupling. General analytical expressions for the zero- and leading-order terms of the velocity versus wavenumber expansion in an anisotropic homogeneous piezoplate are obtained. On this ground, it is shown what types of anisotropy and electric boundary conditions enable the onset parameters of fundamental branches to be piezoactive. Particular attention is given to the linear dispersion at the origin of two upper fundamental branches. This property is entirely caused by the piezoeffect, being ruled out for elastic plates. An invariant hierarchy is established between the zero-order velocities of the fundamental waves under different electric boundary conditions in homogeneous and functionally graded plates. It is shown that some of these velocities in a metallized plate become piezoactive specifically if the piezoplate is functionally graded. |
| doi_str_mv | 10.1016/j.ijsolstr.2010.07.018 |
| format | Article |
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General analytical expressions for the zero- and leading-order terms of the velocity versus wavenumber expansion in an anisotropic homogeneous piezoplate are obtained. On this ground, it is shown what types of anisotropy and electric boundary conditions enable the onset parameters of fundamental branches to be piezoactive. Particular attention is given to the linear dispersion at the origin of two upper fundamental branches. This property is entirely caused by the piezoeffect, being ruled out for elastic plates. An invariant hierarchy is established between the zero-order velocities of the fundamental waves under different electric boundary conditions in homogeneous and functionally graded plates. 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It is shown that some of these velocities in a metallized plate become piezoactive specifically if the piezoplate is functionally graded.</description><subject>Acoustics</subject><subject>Anisotropic</subject><subject>Anisotropy</subject><subject>Boundary conditions</subject><subject>Dispersions</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Functionally graded</subject><subject>Functionally gradient materials</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hierarchies</subject><subject>Invariants</subject><subject>Low-frequency dispersion</subject><subject>Physics</subject><subject>Piezoelectric plate</subject><subject>Piezoelectricity</subject><subject>Plates</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNqFkMFq3DAQhkVJoZu0r1B8CSEHb0aWLMm3hJA2gYVSaM9CkcdUi9ZyNN4N6dNXZtNccxrN8M386GPsK4c1B66utuuwpRRpzusGyhD0Grj5wFbc6K5uuFQnbAXQQK2VEZ_YKdEWAKToYMV-btJzPWR82uPoX6o-0ISZQhqrNFTDfuzdDsfZxerZHZCqMFZuDJTmnKbgqyng34QR_ZyXLroZ6TP7OLhI-OW1nrHf3-5-3d7Xmx_fH25vNrUXbTvXvu98B76VOPjOKC0N-E4JkK2WvkFTXo_Qm1ZoYQboe0TPFX900jnZCO7EGbs83v3jop1y2Ln8YpML9v5mY5dZkQBSdfLAC3txZKecyk9ptrtAHmN0I6Y9WaOkMK2EppDqSPqciDIOb6c52EW33dr_uu2i24Jeksri-WuEI-_ikN3oA71tN0Jo3YqucNdHDoubQ8BsyYfiHvuQi0fbp_Be1D9lg5oT</recordid><startdate>20101215</startdate><enddate>20101215</enddate><creator>Shuvalov, A.L.</creator><creator>Le Clezio, E.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8BQ</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-6499-1558</orcidid></search><sort><creationdate>20101215</creationdate><title>Low-frequency dispersion of fundamental waves in anisotropic piezoelectric plates</title><author>Shuvalov, A.L. ; Le Clezio, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-cd9c90c54efc9867480c96304574c2e8304b0d853738f0ddeec161ba4aa4231a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Acoustics</topic><topic>Anisotropic</topic><topic>Anisotropy</topic><topic>Boundary conditions</topic><topic>Dispersions</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Functionally graded</topic><topic>Functionally gradient materials</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hierarchies</topic><topic>Invariants</topic><topic>Low-frequency dispersion</topic><topic>Physics</topic><topic>Piezoelectric plate</topic><topic>Piezoelectricity</topic><topic>Plates</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shuvalov, A.L.</creatorcontrib><creatorcontrib>Le Clezio, E.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shuvalov, A.L.</au><au>Le Clezio, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Low-frequency dispersion of fundamental waves in anisotropic piezoelectric plates</atitle><jtitle>International journal of solids and structures</jtitle><date>2010-12-15</date><risdate>2010</risdate><volume>47</volume><issue>25</issue><spage>3377</spage><epage>3388</epage><pages>3377-3388</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>Low-frequency onset of the fundamental branches in piezoplates is studied with a view to identify the impact of piezoelectric coupling. General analytical expressions for the zero- and leading-order terms of the velocity versus wavenumber expansion in an anisotropic homogeneous piezoplate are obtained. On this ground, it is shown what types of anisotropy and electric boundary conditions enable the onset parameters of fundamental branches to be piezoactive. Particular attention is given to the linear dispersion at the origin of two upper fundamental branches. This property is entirely caused by the piezoeffect, being ruled out for elastic plates. An invariant hierarchy is established between the zero-order velocities of the fundamental waves under different electric boundary conditions in homogeneous and functionally graded plates. 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| source | Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Acoustics Anisotropic Anisotropy Boundary conditions Dispersions Engineering Sciences Exact sciences and technology Functionally graded Functionally gradient materials Fundamental areas of phenomenology (including applications) Hierarchies Invariants Low-frequency dispersion Physics Piezoelectric plate Piezoelectricity Plates Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Low-frequency dispersion of fundamental waves in anisotropic piezoelectric plates |
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