TY - JOUR
TI - One mathematical model of thermal conductivity for materials with a granular structure
AU - Kuvyrkin Georgy
AU - Savelyeva Inga
AU - Kuvshinnikova Daria
JN - Thermal Science
PY - 2019
VL - 23
IS - 14
SP - 1273
EP - 1280
PT - Article
AB - The creation of new materials based on nanotechnology is an important  direction of modern materials science development. Materials obtained by  using nanotechnology can possess unique physicomechanical and thermophysical  properties, al-lowing to use them effectively in structures exposed to  high-intensity thermomechanical effects. An important step of the creation  and usage of new materials is the construction of mathematical models to  describe the behavior of these materials in a wide range of changes in  external influences. One of the possible models for describing the process of  thermal conductivity in structurally sensitive materials is proposed in this  paper. The model is based on the laws of rational thermodynamics of  irreversible processes and models of a continuous medium with internal state  parameters. A qualitative study of the constructed model is carried out. A  difference scheme is constructed in order to find the solution of the  non-stationary heat conduction problem with allowance for the spatial  non-locality effect. The analysis of the solutions is carried out.