Heat Transfer in a Composite Material With Structural Hierarchy

Document Type

Article

Publication Date

1-1-2021

Publication Title

Composites: Mechanics, Computations, Applications: An International Journal

Volume

12

Issue

2

First page number:

45

Last page number:

59

Abstract

An asymptotic homogenization is used to study heat transfer in a heterogeneous material with multiscale periodic structure. We suppose the existence of a hierarchy of spatial scales and a contrast of physical properties of the components of the composite. The proposed multiscale approach allows one to replace real heterogeneous material with homogeneous medium with effective characteristics. As a result, we have got an analytical approximation for the distribution of temperature in composite with structural hierarchy and studied how effective characteristics can be influenced by the details of the geometry and the properties of the material on different spatial scales.

Keywords

Multiscale analysis; Structural hierarchy; Homogenization; Heat transfer; Composite materials

Disciplines

Engineering Science and Materials | Heat Transfer, Combustion

Language

English

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