Effective Thermal Conductivity of Porous Material Based on TPMS

This paper presents a numerical study to determine the effective thermal conductivity of a porous material with structure based on Schoen's I-WP TPMS. The purpose of the current work is to study the dependence of porosity and effective thermal conductivity on the geometric parameters of the structure under study. The geometric parameters in the study include the thickness of the structure and the length of the edge of the cube in which the unit cell is inscribed. The unit cell is taken from the structure using the RVE method. This work is of applied importance since using the dependencies obtained, it is possible to design materials with the required thermal properties. In the course of the work, graphical and analytical dependences were determined that make it possible to obtain the same values of effective thermal conductivity for various geometric parameters. For example, with a cube length а = 3 mm and a structure thickness δ = 0.2 mm, the thermal conductivity will be the same as with a а = 5 mm and δ = 0.0315 mm and equal to 0.03 W/(m
^o
C ) . The novelty of the work lies in obtaining an analytical and graphical dependence of the effective thermal conductivity for a porous material with a TPMS structure. To create a porous structure, PETG plastic material was used. This material is widely used in additive technologies. The calculation of thermophysical properties was performed using the numerical finite element method in the Ansys software package.