Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source
This paper deals with the problem of magneto-thermoelastic interactions in a functionally graded isotropic, unbounded, rotating medium due to a periodically varying heat source in the context of the linear theory of generalized thermoelasticity without energy dissipation and with energy dissipation....
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| Veröffentlicht in: | Acta mechanica 2015-07, Vol.226 (7), p.2103-2120 |
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| container_title | Acta mechanica |
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| creator | Pal, P. Das, P. Kanoria, M. |
| description | This paper deals with the problem of magneto-thermoelastic interactions in a functionally graded isotropic, unbounded, rotating medium due to a periodically varying heat source in the context of the linear theory of generalized thermoelasticity without energy dissipation and with energy dissipation. The governing equations of generalized thermoelasticity (GN model) for a functionally graded material under the influence of a magnetic field are established. The Laplace–Fourier double transform technique has been used to get the solution. The inversion of Fourier transform is done by using residual calculus, where the poles of the integrand are obtained numerically in the complex domain by using Laguerre’s method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. The numerical estimates for displacements, temperature and stress are obtained for a hypothetical material. The solution to the analogous problem is obtained by taking a suitable non-homogeneous parameter. Finally, the results obtained are presented graphically to show the effect of rotation, non-homogeneity, damping coefficient and magnetic field on displacements, temperature and stress. |
| doi_str_mv | 10.1007/s00707-015-1301-y |
| format | Article |
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The governing equations of generalized thermoelasticity (GN model) for a functionally graded material under the influence of a magnetic field are established. The Laplace–Fourier double transform technique has been used to get the solution. The inversion of Fourier transform is done by using residual calculus, where the poles of the integrand are obtained numerically in the complex domain by using Laguerre’s method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. The numerical estimates for displacements, temperature and stress are obtained for a hypothetical material. The solution to the analogous problem is obtained by taking a suitable non-homogeneous parameter. 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The governing equations of generalized thermoelasticity (GN model) for a functionally graded material under the influence of a magnetic field are established. The Laplace–Fourier double transform technique has been used to get the solution. The inversion of Fourier transform is done by using residual calculus, where the poles of the integrand are obtained numerically in the complex domain by using Laguerre’s method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. The numerical estimates for displacements, temperature and stress are obtained for a hypothetical material. The solution to the analogous problem is obtained by taking a suitable non-homogeneous parameter. Finally, the results obtained are presented graphically to show the effect of rotation, non-homogeneity, damping coefficient and magnetic field on displacements, temperature and stress.</description><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Heat</subject><subject>Heat and Mass Transfer</subject><subject>Magnetic fields</subject><subject>Solid Mechanics</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thermoplastics</subject><subject>Vibration</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kUtLxDAUhYMoOD5-gLuA62oeTdMuRXyB4kbXIZPedCJtMiapMP_ejHXhRi7kksN3cnM5CF1QckUJkdepHERWhIqKckKr3QFa0YZ2VdNxeYhWhBRRdJIco5OUPsqNyZqu0OeLHjzkUOUNxCnAqFN2BkdI2-ATYOexxnb2Jrvg9Tju8BB1Dz2OIevs_IAn6N084X4GnEOBtxBd6J35gb903O2hDeiMU5ijgTN0ZPWY4Py3n6L3-7u328fq-fXh6fbmuTI1E7mSdb22TFNSptlmbVpmhWiZFIwXjfJuLXgrbduy2jYUBLFacCl6TiWzjWH8FF0u725j-JwhZfVR5pcdkqJNS5loRNcV6mqhBj2Cct6GHLUp1cPkTPBgXdFvasGIYB3nxUAXg4khpQhWbaObypqKErWPQi1RqBKF2kehdsXDFk8qrB8g_vnKv6Zv6euNGw</recordid><startdate>20150701</startdate><enddate>20150701</enddate><creator>Pal, P.</creator><creator>Das, P.</creator><creator>Kanoria, M.</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20150701</creationdate><title>Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source</title><author>Pal, P. ; Das, P. ; Kanoria, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c425t-744bf2a10adef6bc82f5582752310a139b5387f8824f61e50fa5375d3172f6c23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Classical and Continuum Physics</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Heat</topic><topic>Heat and Mass Transfer</topic><topic>Magnetic fields</topic><topic>Solid Mechanics</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thermoplastics</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pal, P.</creatorcontrib><creatorcontrib>Das, P.</creatorcontrib><creatorcontrib>Kanoria, M.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library (ProQuest Database)</collection><collection>Science Journals (ProQuest Database)</collection><collection>ProQuest Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pal, P.</au><au>Das, P.</au><au>Kanoria, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2015-07-01</date><risdate>2015</risdate><volume>226</volume><issue>7</issue><spage>2103</spage><epage>2120</epage><pages>2103-2120</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><coden>AMHCAP</coden><abstract>This paper deals with the problem of magneto-thermoelastic interactions in a functionally graded isotropic, unbounded, rotating medium due to a periodically varying heat source in the context of the linear theory of generalized thermoelasticity without energy dissipation and with energy dissipation. The governing equations of generalized thermoelasticity (GN model) for a functionally graded material under the influence of a magnetic field are established. The Laplace–Fourier double transform technique has been used to get the solution. The inversion of Fourier transform is done by using residual calculus, where the poles of the integrand are obtained numerically in the complex domain by using Laguerre’s method, and the inversion of the Laplace transformation is done numerically using a method based on Fourier series expansion technique. The numerical estimates for displacements, temperature and stress are obtained for a hypothetical material. The solution to the analogous problem is obtained by taking a suitable non-homogeneous parameter. 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| subjects | Classical and Continuum Physics Control Dynamical Systems Engineering Engineering Thermodynamics Heat Heat and Mass Transfer Magnetic fields Solid Mechanics Theoretical and Applied Mechanics Thermoplastics Vibration |
| title | Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source |
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