Determining the temperature-dependent thermal conductivity of phenolic resin/glass fiber composite materials using the inverse method
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https://doi.org/10.54939/1859-1043.j.mst.FMC.2026.28-36Keywords:
The temperature-dependent thermal conductivity; Inverse Heat Transfer Problem (IHTP); Phenolic/glass-fiber composite.Abstract
This study presents a method for estimating the temperature-dependent thermal conductivity of phenolic/glass fiber composite materials using the Inverse Heat Transfer Problem (IHTP). The thermal conductivity, assumed to be constant and a linear function of temperature, is determined through fitting simulation results with experimental data. Temperature data obtained from the heating experiment are used to construct the objective function according to the least squares criterion between the calculated and measured temperatures. The forward heat transfer problem is described by an unsteady one-dimensional heat conduction equation with a temperature-dependent thermal conductivity. After discretization using the Finite Volume Method (FVM), the heat partial differential equation (PDE) was transformed into a system of ordinary differential equations (ODE). After that, the numerical solution of the ODE and the parameter optimization were carried out in the MATLAB environment, with the optimization performed using the “fminsearch” built-in function. The results show that the temperature-dependent thermal conductivity model describes the heat transfer process more accurately than the constant thermal conductivity model. The results confirm that the IHTP method is an effective tool for determining the thermal conductivity of composite materials under experimental conditions.
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