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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
DOI: 10.1002/zamm.201400067
ISSN: 0044-2267
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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