Effective conductivity of 2D disk – ring composite material
DOI: https://doi.org/10.3846/13926292.2013.804890Abstract
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.
Keywords:
bounded 2D composites, disk-ring, heat conduction, ℝ-linear problem, effective conductivityHow to Cite
Gryshchuk, S., & Rogosin, S. (2013). Effective conductivity of 2D disk – ring composite material. Mathematical Modelling and Analysis, 18(3), 386-394. https://doi.org/10.3846/13926292.2013.804890
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2013-06-01
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Copyright
Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Gryshchuk, S., & Rogosin, S. (2013). Effective conductivity of 2D disk – ring composite material. Mathematical Modelling and Analysis, 18(3), 386-394. https://doi.org/10.3846/13926292.2013.804890