Heat Transfer in a Composite Material With Structural Hierarchy
Composites: Mechanics, Computations, Applications: An International Journal
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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.
Multiscale analysis; Structural hierarchy; Homogenization; Heat transfer; Composite materials
Engineering Science and Materials | Heat Transfer, Combustion
Savatorova, V. L.,
Talonov, A. V.
Heat Transfer in a Composite Material With Structural Hierarchy.
Composites: Mechanics, Computations, Applications: An International Journal, 12(2),