Thermal waves in composite membrane with circular inclusions in hexagonal lattice structures
Ładowanie...
Data
2021
Tytuł czasopisma
ISSN czasopisma
Tytuł tomu
Wydawca
Wydawnictwo Politechniki Łódzkiej
Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.
Lodz University of Technology Press
Lodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.
Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.
Lodz University of Technology Press
Lodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.
Abstrakt
Non-stationary heat conduction in the fibre composite materials is studied. 2D
сomposite media consists of matrix with circular inclusions in hexagonal lattice structures.
The perfect contact between different materials is assumed on the boundary of the fibres. The
local temperature field in the unit cell is modeled by the heat equation. Time variable excludes
from the original boundary value problem using of Laplace transform. Asymptotic
homogenization method allows to reduce original problem for multiply-connected domain to
the sequence of boundary value problems in simply-connected domains. Composite material
is supposed densely-packed with a high-contrast. In this case, the local boundary value problem
includes a small parameter equal to the ratio of the distance between the inclusions to the
characteristic cell size. Using of additional small parameter and thin layer asymptotics allows
to solve local problem analytically. Closed form expression for effective heat conductivity is
obtained.
Opis
Słowa kluczowe
unsteady heat conduction, fibre composite, effective conductivity, Laplace transform, homogenization approach, niestabilne przewodzenie ciepła, kompozyt włóknisty, efektywne przewodnictwo, transformata Laplace'a, podejście do homogenizacji
Cytowanie
Andrianov I.V., Awrejcewicz J., Starushenko G.A., Kvitka S.A., Thermal waves in composite membrane with circular inclusions in hexagonal lattice structures. W: DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Awrejcewicz J. (red.), Kaźmierczak M. (red.), Olejnik P. (red.), Mrozowski J. (red.), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, s. 491-492, ISBN 978-83-66741-20-1.