Numerical identification of the thermal conductivity tensor and the heat capacity per unit volume of an anisotropic material

Kossi Atchonouglo (1) , J.C. Dupré (2) , Arnaud Germaneau (2) , Claude Vallée (2)

1 Université de Lomé [Togo]
2 PEM - Photomécanique et analyse expérimentale en mécanique des solides [Institut Pprime]

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.

Mots clés: Heat transfer; finite elements; thermal conductivity tensor; heat capacity; inverse problem

Domaines: Mécanique [physics.med-ph]; Optique / photonique; Matériaux

Kossi Atchonouglo, J.C. Dupré, Arnaud Germaneau, Claude Vallée. Numerical identification of the thermal conductivity tensor and the heat capacity per unit volume of an anisotropic material. Mechanics & Industry, 2019, 20 (6), pp.603. ⟨10.1051/meca/2019026⟩. ⟨hal-02390678⟩