Effective conductivity of 2D disk – ring composite material
For 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of geometrical progression with respect to powers of ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2013-06-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/4121 |
| _version_ | 1818790473984114688 |
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| author | Serhii Gryshchuk Sergei Rogosin |
| author_facet | Serhii Gryshchuk Sergei Rogosin |
| author_sort | Serhii Gryshchuk |
| collection | DOAJ |
| description | For 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of geometrical progression with respect to powers of r 2 for all sufficiently small r. |
| first_indexed | 2024-12-18T14:56:01Z |
| format | Article |
| id | doaj.art-7179c1bd44a94bb2bb44cce9fa900132 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-18T14:56:01Z |
| publishDate | 2013-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-7179c1bd44a94bb2bb44cce9fa9001322022-12-21T21:04:02ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102013-06-0118310.3846/13926292.2013.804890Effective conductivity of 2D disk – ring composite materialSerhii Gryshchuk0Sergei Rogosin1University of Padova Via Trieste 63, 35121 Padova, Italy; National Academy of Sciences of Ukraine 3 Tereshchenkivska st., 01601 Kiev-4, UkraineBelarusian State University Nezavisimosti ave 4, BY-220030 Minsk, BelarusFor 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of geometrical progression with respect to powers of r 2 for all sufficiently small r.https://journals.vgtu.lt/index.php/MMA/article/view/4121bounded 2D compositesdisk-ringheat conductionℝ-linear problemeffective conductivity |
| spellingShingle | Serhii Gryshchuk Sergei Rogosin Effective conductivity of 2D disk – ring composite material Mathematical Modelling and Analysis bounded 2D composites disk-ring heat conduction ℝ-linear problem effective conductivity |
| title | Effective conductivity of 2D disk – ring composite material |
| title_full | Effective conductivity of 2D disk – ring composite material |
| title_fullStr | Effective conductivity of 2D disk – ring composite material |
| title_full_unstemmed | Effective conductivity of 2D disk – ring composite material |
| title_short | Effective conductivity of 2D disk – ring composite material |
| title_sort | effective conductivity of 2d disk ring composite material |
| topic | bounded 2D composites disk-ring heat conduction ℝ-linear problem effective conductivity |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/4121 |
| work_keys_str_mv | AT serhiigryshchuk effectiveconductivityof2ddiskringcompositematerial AT sergeirogosin effectiveconductivityof2ddiskringcompositematerial |