HEAT TRANSFER IN A COMPOSITE MATERIAL WITH STRUCTURAL HIERARCHY
Viktoria L. Savatorova, А. В. Талонов · Composites Mechanics Computations Applications An International Journal · 2021
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.