Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section
Thermal conductivity of composite materials with periodically distributed cylindrical inclusions of square cross-section is investigated. Analytical interpolation formula for the effective thermal conductivity in transversal direction valid in the entire range of volume fraction of inclusions and va...
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| Veröffentlicht in: | Composites. Part B, Engineering Engineering, 2013-07, Vol.50, p.44-53 |
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| container_title | Composites. Part B, Engineering |
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| creator | Andrianov, Igor V. Kalamkarov, Alexander L. Starushenko, Galina A. |
| description | Thermal conductivity of composite materials with periodically distributed cylindrical inclusions of square cross-section is investigated. Analytical interpolation formula for the effective thermal conductivity in transversal direction valid in the entire range of volume fraction of inclusions and value of their thermal conductivity is derived. The methods of asymptotic homogenization, boundary shape perturbation and asymptotically equivalent functions are used. Asymptotic expansions of the effective thermal conductivity in limiting cases of size of inclusions and their thermal conductivity are obtained. The analytical expressions are evaluated numerically and compared to other models. It is shown that the discrepancy between these results is very low in all cases. |
| doi_str_mv | 10.1016/j.compositesb.2013.01.023 |
| format | Article |
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Analytical interpolation formula for the effective thermal conductivity in transversal direction valid in the entire range of volume fraction of inclusions and value of their thermal conductivity is derived. The methods of asymptotic homogenization, boundary shape perturbation and asymptotically equivalent functions are used. Asymptotic expansions of the effective thermal conductivity in limiting cases of size of inclusions and their thermal conductivity are obtained. The analytical expressions are evaluated numerically and compared to other models. It is shown that the discrepancy between these results is very low in all cases.</description><identifier>ISSN: 1359-8368</identifier><identifier>EISSN: 1879-1069</identifier><identifier>DOI: 10.1016/j.compositesb.2013.01.023</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>A. Fibres ; Asymptotic homogenisation ; Asymptotic properties ; B. Thermal properties ; C. Analytical modelling ; C. 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Analytical modelling</subject><subject>C. Micro-mechanics</subject><subject>composite materials</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Exact sciences and technology</subject><subject>Exact solutions</subject><subject>Heat transfer</subject><subject>homogenization</subject><subject>Homogenizing</subject><subject>Inclusions</subject><subject>Materials science</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Other materials</subject><subject>Physics</subject><subject>Specific materials</subject><subject>Thermal conductivity</subject><issn>1359-8368</issn><issn>1879-1069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqNkE1r3DAQhk1oIWna3xD1UOjF7kiyLfsYln5BoIc2ZyHLo0SLbW00cpr999XWIfTYkwbxzDsvT1G851Bx4O2nfWXDfAjkE9JQCeCyAl6BkGfFBe9UX3Jo-1d5lk1fdrLtzos3RHsAqBspLoqn68VMx-StmRg-HSIS-bAQcyEydA5t8o_I0j3GORM2LON6-vLpyIJjL7fZbBJGbyZiv326Z36x07olZYweVhOR2RiISjplhuVt8dplHN89v5fF7ZfPv3bfypsfX7_vrm9KW0OXSsulgH5wUg7CGhzMoEalXI-mFnIEAS02fds3o3LKKAmISja2yTtQjxZBXhYft9xDDA8rUtKzJ4vTZBYMK2muVAeyqznPaL-hf4tGdPoQ_WziUXPQJ9t6r_-xrU-2NXCdbefdD89nDGWXLprFenoJEKqGNjfL3NXGORO0uYuZuf2ZgxoAzptWtJnYbQRmK48eoybrcbE4-pjV6TH4_-jzB7dbqMw</recordid><startdate>20130701</startdate><enddate>20130701</enddate><creator>Andrianov, Igor V.</creator><creator>Kalamkarov, Alexander L.</creator><creator>Starushenko, Galina A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>FBQ</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20130701</creationdate><title>Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section</title><author>Andrianov, Igor V. ; Kalamkarov, Alexander L. ; Starushenko, Galina A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c408t-c13209bf33b2caebab7d77f9ea423d0206e59695d7f7a730ee735c520904dce03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>A. Fibres</topic><topic>Asymptotic homogenisation</topic><topic>Asymptotic properties</topic><topic>B. Thermal properties</topic><topic>C. Analytical modelling</topic><topic>C. Micro-mechanics</topic><topic>composite materials</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Exact sciences and technology</topic><topic>Exact solutions</topic><topic>Heat transfer</topic><topic>homogenization</topic><topic>Homogenizing</topic><topic>Inclusions</topic><topic>Materials science</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Other materials</topic><topic>Physics</topic><topic>Specific materials</topic><topic>Thermal conductivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Andrianov, Igor V.</creatorcontrib><creatorcontrib>Kalamkarov, Alexander L.</creatorcontrib><creatorcontrib>Starushenko, Galina A.</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Composites. Part B, Engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Andrianov, Igor V.</au><au>Kalamkarov, Alexander L.</au><au>Starushenko, Galina A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section</atitle><jtitle>Composites. Part B, Engineering</jtitle><date>2013-07-01</date><risdate>2013</risdate><volume>50</volume><spage>44</spage><epage>53</epage><pages>44-53</pages><issn>1359-8368</issn><eissn>1879-1069</eissn><abstract>Thermal conductivity of composite materials with periodically distributed cylindrical inclusions of square cross-section is investigated. Analytical interpolation formula for the effective thermal conductivity in transversal direction valid in the entire range of volume fraction of inclusions and value of their thermal conductivity is derived. The methods of asymptotic homogenization, boundary shape perturbation and asymptotically equivalent functions are used. Asymptotic expansions of the effective thermal conductivity in limiting cases of size of inclusions and their thermal conductivity are obtained. The analytical expressions are evaluated numerically and compared to other models. It is shown that the discrepancy between these results is very low in all cases.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compositesb.2013.01.023</doi><tpages>10</tpages></addata></record> |
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| ispartof | Composites. Part B, Engineering, 2013-07, Vol.50, p.44-53 |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | A. Fibres Asymptotic homogenisation Asymptotic properties B. Thermal properties C. Analytical modelling C. Micro-mechanics composite materials Cross-disciplinary physics: materials science rheology Exact sciences and technology Exact solutions Heat transfer homogenization Homogenizing Inclusions Materials science Mathematical analysis Mathematical models Other materials Physics Specific materials Thermal conductivity |
| title | Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section |
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