Abstract
In this paper, an inverse approach based on gradient conjugate method for thermal conductivity tensor and heat capacity per unit volume measurement is summarized. A suitable analysis is done for the mesh in finite element method and for the time steps for the time integration. For a composite material, it is shown the importance to identify the thermal conductivity tensor components in the principal axes.
Highlights
When a material is subjected to mechanical solicitations, its temperature undergoes a few variation
This energy balance requires the knowledge of the thermal conductivity tensor k and heat capacity per unit volume c involved in the heat conduction [1,2,3]
We propose to determine the thermal parameters along the principal axes of the composite material
Summary
When a material is subjected to mechanical solicitations, its temperature undergoes a few variation. For more information on the mechanical response, it is necessary to perform an energy balance based on the thermodynamics of irreversible processes This energy balance requires the knowledge of the thermal conductivity tensor k and heat capacity per unit volume c involved in the heat conduction [1,2,3]. Many numerical and experimental methods have been developed to determine the thermal conductivity tensor and sometimes the thermal conductivity tensor and the heat capacity per unit volume simultaneously. Andersson and Ross [16] have used the transient hot-wire method to measure simultaneously the thermal conductivity and heat capacity per unit volume; de Carvalho and Neto [17] combined the hot-wire method and Levenberg–Marquardt method for polymer thermal properties estimation. An identification process is developed to determine heat capacity and thermal conductivity tensor. We have solved this problem here using both a numerical FEM and analytic integral transform technique
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