Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material
In the present work, the problem for elliptical inclusion with interfacial crack in thermoelectric material is studied. The inclusion and matrix are assumed to be imperfect bonding, which is subjected to uniform heat flux and energy flux at infinity. The interfacial cracking problem of elliptic incl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2021-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/37/e3sconf_icemee2021_02089.pdf |
| _version_ | 1818600438314827776 |
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| author | Du Xin-Kun Zhang Ya-Li Ding Sheng-Hu |
| author_facet | Du Xin-Kun Zhang Ya-Li Ding Sheng-Hu |
| author_sort | Du Xin-Kun |
| collection | DOAJ |
| description | In the present work, the problem for elliptical inclusion with interfacial crack in thermoelectric material is studied. The inclusion and matrix are assumed to be imperfect bonding, which is subjected to uniform heat flux and energy flux at infinity. The interfacial cracking problem of elliptic inclusion in thermoelectric material is investigated by using conformal mapping and complex function method. The complex expressions of temperature field and electric field in inclusion and matrix are obtained. The energy release rate of thermoelectric material under the influence of inclusion is given. The effects of elliptic inclusion with interfacial crack on temperature field and electric potential also are compared by numerical examples. The results show that inclusion reduces the conversion efficiency of thermoelectric material. |
| first_indexed | 2024-12-16T12:35:29Z |
| format | Article |
| id | doaj.art-bb7dda8f827a4717838e54108dbf4695 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-16T12:35:29Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-bb7dda8f827a4717838e54108dbf46952022-12-21T22:31:35ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012610208910.1051/e3sconf/202126102089e3sconf_icemee2021_02089Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric materialDu Xin-Kun0Zhang Ya-Li1Ding Sheng-Hu2School of Mathematics and Statistics, Ningxia UniversitySchool of Mathematics and Statistics, Ningxia UniversitySchool of Mathematics and Statistics, Ningxia UniversityIn the present work, the problem for elliptical inclusion with interfacial crack in thermoelectric material is studied. The inclusion and matrix are assumed to be imperfect bonding, which is subjected to uniform heat flux and energy flux at infinity. The interfacial cracking problem of elliptic inclusion in thermoelectric material is investigated by using conformal mapping and complex function method. The complex expressions of temperature field and electric field in inclusion and matrix are obtained. The energy release rate of thermoelectric material under the influence of inclusion is given. The effects of elliptic inclusion with interfacial crack on temperature field and electric potential also are compared by numerical examples. The results show that inclusion reduces the conversion efficiency of thermoelectric material.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/37/e3sconf_icemee2021_02089.pdf |
| spellingShingle | Du Xin-Kun Zhang Ya-Li Ding Sheng-Hu Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material E3S Web of Conferences |
| title | Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| title_full | Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| title_fullStr | Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| title_full_unstemmed | Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| title_short | Exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| title_sort | exact solutions of interfacial cracking problem of elliptic inclusion in thermoelectric material |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/37/e3sconf_icemee2021_02089.pdf |
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