Non-stationary heat transfer in composite membrane with circular inclusions in hexagonal lattice structures

被引：0
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作者：
I. V. Andrianov
J. Awrejcewicz
G. A. Starushenko
机构：
[1] RWTH Aachen University,Chair and Institute of General Mechanics
[2] Lodz University of Technology,Department of Automation, Biomechanics and Mechatronics
[3] Dnipropetrovs’k Regional Institute of State Management,undefined
[4] of National Academy of State Management at the President of Ukraine,undefined
来源：
Acta Mechanica | 2022年 / 233卷
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摘要：
Unsteady heat conduction in fibre composite materials is studied. 2D composite media consist of a matrix with circular inclusions in hexagonal lattice structures. Perfect contact between different materials is assumed on the boundary of the fibres. The temperature field is modelled by a heat equation. Laplace transform and asymptotic homogenization method are used. Then, the original problem for a multi-connected domain is reduced to the recurrent system of boundary value problems in simply connected domains. Employing an additional small parameter and thin layer asymptotics, the analytical solution of the local problem can be obtained. In particular, a closed-form expression for effective heat conductivity is reported. The case of Newton's cooling law is studied separately.
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页码：1339 / 1350
页数：11
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