The microscopic conduction fields in the multi-coated sphere composites under the imposed macroscopic gradient and flux fields
Explicit analytical expressions of the microscopic conduction (gradient or flux) fields in the d -dimensional ( d = 2 , 3 ) multi-coated sphere assemblages under the imposed macroscopic gradient and flux fields are presented. Limiting procedures are developed to derive the results for most important...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2019-02, Vol.70 (1), p.1-21, Article 24 |
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| creator | Pham, Duc Chinh Nguyen, Trung Kien |
| description | Explicit analytical expressions of the microscopic conduction (gradient or flux) fields in the
d
-dimensional (
d
=
2
,
3
) multi-coated sphere assemblages under the imposed macroscopic gradient and flux fields are presented. Limiting procedures are developed to derive the results for most important specific composites, which include the inclusion composites with highly conducting imperfect interface, lowly conducting (with Kapitza resistance) imperfect interface, general imperfect interface, and those with anisotropic coatings. When the volume proportion of the outermost shells of the assemblages approaches 1, the simplified results for the dilute suspensions of the complex spherically symmetric inclusions in a major matrix are deduced. |
| doi_str_mv | 10.1007/s00033-018-1062-2 |
| format | Article |
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d
-dimensional (
d
=
2
,
3
) multi-coated sphere assemblages under the imposed macroscopic gradient and flux fields are presented. Limiting procedures are developed to derive the results for most important specific composites, which include the inclusion composites with highly conducting imperfect interface, lowly conducting (with Kapitza resistance) imperfect interface, general imperfect interface, and those with anisotropic coatings. When the volume proportion of the outermost shells of the assemblages approaches 1, the simplified results for the dilute suspensions of the complex spherically symmetric inclusions in a major matrix are deduced.</description><identifier>ISSN: 0044-2275</identifier><identifier>EISSN: 1420-9039</identifier><identifier>DOI: 10.1007/s00033-018-1062-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Composite materials ; Conduction ; Engineering ; Flux ; Kapitza resistance ; Mathematical analysis ; Mathematical Methods in Physics ; Matrix methods ; Theoretical and Applied Mechanics</subject><ispartof>Zeitschrift für angewandte Mathematik und Physik, 2019-02, Vol.70 (1), p.1-21, Article 24</ispartof><rights>Springer Nature Switzerland AG 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-66b327d8cc672962902248462d2e14066e25a55b71abff2dfae9ac3abe6b92623</citedby><cites>FETCH-LOGICAL-c316t-66b327d8cc672962902248462d2e14066e25a55b71abff2dfae9ac3abe6b92623</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00033-018-1062-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00033-018-1062-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Pham, Duc Chinh</creatorcontrib><creatorcontrib>Nguyen, Trung Kien</creatorcontrib><title>The microscopic conduction fields in the multi-coated sphere composites under the imposed macroscopic gradient and flux fields</title><title>Zeitschrift für angewandte Mathematik und Physik</title><addtitle>Z. Angew. Math. Phys</addtitle><description>Explicit analytical expressions of the microscopic conduction (gradient or flux) fields in the
d
-dimensional (
d
=
2
,
3
) multi-coated sphere assemblages under the imposed macroscopic gradient and flux fields are presented. Limiting procedures are developed to derive the results for most important specific composites, which include the inclusion composites with highly conducting imperfect interface, lowly conducting (with Kapitza resistance) imperfect interface, general imperfect interface, and those with anisotropic coatings. When the volume proportion of the outermost shells of the assemblages approaches 1, the simplified results for the dilute suspensions of the complex spherically symmetric inclusions in a major matrix are deduced.</description><subject>Composite materials</subject><subject>Conduction</subject><subject>Engineering</subject><subject>Flux</subject><subject>Kapitza resistance</subject><subject>Mathematical analysis</subject><subject>Mathematical Methods in Physics</subject><subject>Matrix methods</subject><subject>Theoretical and Applied Mechanics</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoMouK7-AG8Bz9Fk0qbtURa_YMHLeg5pku5madOapKAXf7utu7AnTwPD8z4zvAjdMnrPKC0eIqWUc0JZSRgVQOAMLVgGlFSUV-doQWmWEYAiv0RXMe4numCUL9DPZmdx53Too-4Hp7HuvRl1cr3HjbOtidh5nGZobJMjulfJGhyHnQ12gruhjy7ZiEdvbPgD3bybmE6drNugjLM-YeUNbtrx6yi_RheNaqO9Oc4l-nh-2qxeyfr95W31uCaaM5GIEDWHwpRaiwIqARUFyMpMgAHLMiqEhVzleV0wVTcNmEbZSmmuaivqCgTwJbo7eIfQf442Jrnvx-CnkxKYgJJBVs0UO1Dz4zHYRg7BdSp8S0blXLM81CynmuVcs5wzcMjEifVbG07m_0O_-tWBsw</recordid><startdate>20190201</startdate><enddate>20190201</enddate><creator>Pham, Duc Chinh</creator><creator>Nguyen, Trung Kien</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190201</creationdate><title>The microscopic conduction fields in the multi-coated sphere composites under the imposed macroscopic gradient and flux fields</title><author>Pham, Duc Chinh ; Nguyen, Trung Kien</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-66b327d8cc672962902248462d2e14066e25a55b71abff2dfae9ac3abe6b92623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Composite materials</topic><topic>Conduction</topic><topic>Engineering</topic><topic>Flux</topic><topic>Kapitza resistance</topic><topic>Mathematical analysis</topic><topic>Mathematical Methods in Physics</topic><topic>Matrix methods</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pham, Duc Chinh</creatorcontrib><creatorcontrib>Nguyen, Trung Kien</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pham, Duc Chinh</au><au>Nguyen, Trung Kien</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The microscopic conduction fields in the multi-coated sphere composites under the imposed macroscopic gradient and flux fields</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. Angew. Math. Phys</stitle><date>2019-02-01</date><risdate>2019</risdate><volume>70</volume><issue>1</issue><spage>1</spage><epage>21</epage><pages>1-21</pages><artnum>24</artnum><issn>0044-2275</issn><eissn>1420-9039</eissn><abstract>Explicit analytical expressions of the microscopic conduction (gradient or flux) fields in the
d
-dimensional (
d
=
2
,
3
) multi-coated sphere assemblages under the imposed macroscopic gradient and flux fields are presented. Limiting procedures are developed to derive the results for most important specific composites, which include the inclusion composites with highly conducting imperfect interface, lowly conducting (with Kapitza resistance) imperfect interface, general imperfect interface, and those with anisotropic coatings. When the volume proportion of the outermost shells of the assemblages approaches 1, the simplified results for the dilute suspensions of the complex spherically symmetric inclusions in a major matrix are deduced.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00033-018-1062-2</doi><tpages>21</tpages></addata></record> |
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| issn | 0044-2275 1420-9039 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Composite materials Conduction Engineering Flux Kapitza resistance Mathematical analysis Mathematical Methods in Physics Matrix methods Theoretical and Applied Mechanics |
| title | The microscopic conduction fields in the multi-coated sphere composites under the imposed macroscopic gradient and flux fields |
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