Heat source estimation in anisotropic materials

Abstract

The present paper is devoted to the determination of heat source dissipation from infrared thermographic measurements. Such procedure is mainly based on the heat diffusion equation provided by thermodynamics principles. Especially, this requires time and spatial derivation of temperature fields and the knowledge of the material thermal conductivity. This work intends to extend such classical procedure for isotropic materials to the anisotropic context. At first, we propose a comparative study of several filtering methods required for the data processing of noisy and discrete thermal acquisitions. In a second part, a transversely isotropic effective thermal conductivity tensor is estimated by means of a homogenization-based method. From these both results, a heat source application is presented in order to analyze damage phenomena in transversely isotropic CFRP submitted to tensile tests.

Heat Conduction in Anisotropic Medium with Perfectly Conductive Thread-Like Inclusions

“…Comparing the boundary integral equations (9) and (10) for a heat conducting thread-like inclusion and Eqs (16) and (17) for a 2D heat conductive line, one can observe the following.…”

“…Wang et al (2005) developed a meshless method for the analysis of steady-state heat conduction in anisotropic and inhomogeneous solids. Vales et al (2016) presented a homogenisation technique for the estimation of effective thermal properties of composite materials and used it for the analysis of experimental data from thermographic measurements. Khan et al (2016) presented an analytic approach for determination of effective thermal properties of composites with highly conductive inclusions.…”

Damage detection in CFRP by coupling acoustic emission and infrared thermography

“…Contrary to existing works that generally deal with isotropic materials, an homogenization-based approach has been used in this work to account for the anisotropic effective conductivity behavior (see details in [23]). Such a work is based on the Eshelby problem and uses precisely the Mori-Tanaka scheme [24].…”

Thermoelasticity if isotropic solids containing non-deformable thread-like inclusions

“…Тут HFP означає скінченну частину інтеграла за Адамаром (Hadamard Finite Part). З огляду на симетрію задачі, решта компонент вектора p (тобто, 2 p та 3 p ) є нульовими.…”