Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14594
Title: | A heat conduction problem of 2D unbounded composites with imperfect contact conditions |
Author: | Castro, L. P. Kapanadze, D. Pesetskaya, E. |
Keywords: | 2D composite material Steady-state conductivity problem Effective conductivity Imperfect contact conditions Functional equations |
Issue Date: | Sep-2015 |
Publisher: | Wiley |
Abstract: | We consider a steady-state heat conduction problem in 2D unbounded doubly periodic composite materials with temperature independent conductivities of their components. Imperfect contact conditions are assumed on the boundaries between the matrix and inclusions. By introducing complex potentials, the corresponding boundary value problem for the Laplace equation is transformed into a special R-linear boundary value problem for doubly periodic analytic functions. The method of functional equations is used for obtaining a solution. Thus, the R-linear boundary value problem is transformed into a system of functional equations which is analysed afterwards. A new improved algorithm for solving this system is proposed. It allows to compute the average property and reconstruct the temperature and the flux at an arbitrary point of the composite. Computational examples are presented. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14594 |
DOI: | 10.1002/zamm.201400067 |
ISSN: | 0044-2267 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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ZAMM_accepted_2015.pdf | Main article | 489.87 kB | Adobe PDF | View/Open |
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