Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles
We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coinci...
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| Veröffentlicht in: | International journal of engineering science 2019-03, Vol.136, p.67-77 |
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| container_title | International journal of engineering science |
| container_volume | 136 |
| creator | Sevostianov, Igor Talipov, Marat R. |
| description | We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coincides with the remotely applied. We specified the expression for overall conductivity for different cases of particles shape and orientation distributions. The accuracy of the approach is verified on experimental and computational data available in literature. |
| doi_str_mv | 10.1016/j.ijengsci.2019.02.001 |
| format | Article |
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The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coincides with the remotely applied. We specified the expression for overall conductivity for different cases of particles shape and orientation distributions. The accuracy of the approach is verified on experimental and computational data available in literature.</description><identifier>ISSN: 0020-7225</identifier><identifier>EISSN: 1879-2197</identifier><identifier>DOI: 10.1016/j.ijengsci.2019.02.001</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Aggregates ; Anisotropy ; Conductivity ; Effective conductivity ; Electrical resistivity ; Heat conductivity ; Polycrystal ; Polycrystals ; Temperature gradients</subject><ispartof>International journal of engineering science, 2019-03, Vol.136, p.67-77</ispartof><rights>2019 Elsevier Ltd</rights><rights>Copyright Elsevier BV Mar 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c340t-f78c1de500501470f438616b33bac1dc2ac76222db9164bd4069cee6826257b13</citedby><cites>FETCH-LOGICAL-c340t-f78c1de500501470f438616b33bac1dc2ac76222db9164bd4069cee6826257b13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijengsci.2019.02.001$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Sevostianov, Igor</creatorcontrib><creatorcontrib>Talipov, Marat R.</creatorcontrib><title>Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles</title><title>International journal of engineering science</title><description>We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. The only assumption of this scheme is that all the particles have the same shape and, therefore, the average temperature gradient in a particle coincides with the remotely applied. We specified the expression for overall conductivity for different cases of particles shape and orientation distributions. The accuracy of the approach is verified on experimental and computational data available in literature.</description><subject>Aggregates</subject><subject>Anisotropy</subject><subject>Conductivity</subject><subject>Effective conductivity</subject><subject>Electrical resistivity</subject><subject>Heat conductivity</subject><subject>Polycrystal</subject><subject>Polycrystals</subject><subject>Temperature gradients</subject><issn>0020-7225</issn><issn>1879-2197</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkEtu2zAQhomgAeI6uUJAIGspQ0omrV0Ko48gAbJp1wRFjWwKsqgOaQO-WC-Qi4WG23VXM4P5_3l8jN0LKAUI9TiUfsBpG50vJYimBFkCiCu2EGvdFFI0-hNbAEgotJSrG_Y5xgEAVlXTLFh8ofc_ExLfY9qFjveBeNoh7e3Ic4ojukTe5cqFqTu45I8-nXjo-RzGk6NTTHaM3E4dD2cft9st4dYmjGeRnXwMicLsHZ8tJe9GjLfsus8mvPsbl-zXt68_Nz-K17fvz5svr4WrakhFr9dOdLjKp4KoNfR1tVZCtVXV2txw0jqtpJRd2whVt10NqnGIai2VXOlWVEv2cJk7U_h9wJjMEA405ZVGSqGk1hlCVqmLylGIkbA3M_m9pZMRYM6AzWD-ATZnwAakyYCz8elixPzD0SOZrMDJYecpUzNd8P8b8QH2MYpS</recordid><startdate>201903</startdate><enddate>201903</enddate><creator>Sevostianov, Igor</creator><creator>Talipov, Marat R.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>201903</creationdate><title>Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles</title><author>Sevostianov, Igor ; Talipov, Marat R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c340t-f78c1de500501470f438616b33bac1dc2ac76222db9164bd4069cee6826257b13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Aggregates</topic><topic>Anisotropy</topic><topic>Conductivity</topic><topic>Effective conductivity</topic><topic>Electrical resistivity</topic><topic>Heat conductivity</topic><topic>Polycrystal</topic><topic>Polycrystals</topic><topic>Temperature gradients</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sevostianov, Igor</creatorcontrib><creatorcontrib>Talipov, Marat R.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sevostianov, Igor</au><au>Talipov, Marat R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles</atitle><jtitle>International journal of engineering science</jtitle><date>2019-03</date><risdate>2019</risdate><volume>136</volume><spage>67</spage><epage>77</epage><pages>67-77</pages><issn>0020-7225</issn><eissn>1879-2197</eissn><abstract>We reformulated the self-consistent Kröner scheme to calculate thermal conductivities of aggregates of anisotropic particles, including polycrystals. 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| fulltext | fulltext |
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| ispartof | International journal of engineering science, 2019-03, Vol.136, p.67-77 |
| issn | 0020-7225 1879-2197 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Aggregates Anisotropy Conductivity Effective conductivity Electrical resistivity Heat conductivity Polycrystal Polycrystals Temperature gradients |
| title | Kröner method for thermal or electrical conductivity of polycrystals and other aggregates of anisotropic particles |
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