Effective Conductivity of 2D Ellipse – Elliptical Ring Composite Material
For 2D composite material geometrically composed %presentedby an interior of ellipse $E_1$ (with semi-axes $a_1$, $b_1$) and anouter elliptical ring with an outer ellipse $E_2$ (with semi-axes$a_2$, $b_2$), where $E_1$ and $E_2$ are confocal ellipses; it isdetermined in an analytic form the $x$-comp...
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| Date: | 2015 |
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| Keywords: | keywords |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/172 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | For 2D composite material geometrically composed %presentedby an interior of ellipse $E_1$ (with semi-axes $a_1$, $b_1$) and anouter elliptical ring with an outer ellipse $E_2$ (with semi-axes$a_2$, $b_2$), where $E_1$ and $E_2$ are confocal ellipses; it isdetermined in an analytic form the $x$-component of the effectiveconductivity tensor as a sum of convergent power series withcoefficients depending on conductivities of the components of thecomposite material and geometrical characteristics $a_1$, $b_1$ and$a_2$, $b_2$. |
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