Математичне моделювання процесів теплопровідності у композитних матеріалах

Abstract

This work considers the problem of heat conduction in composite materials with a complex internal structure. A mathematical model describing stationary heat transfer in a heterogeneous medium with piecewise-constant thermal conductivity coefficients is presented. The composite is represented by an elementary cell consisting of a matrix region and inclusion regions with different thermal properties. Appropriate boundary conditions and interface conditions describing ideal thermal contact between components are formulated. To effectively describe complex geometries, the R-functions method is applied for constructing analytical representations of the computational domain and boundary conditions