A direct method for the simultaneous characterization of thermal diffusivities of a bi-layer material consisting of a thin coating deposited on a substrate

Rassy, Elissa El; Billaud, Yann; Saury, Didier

doi:10.1016/j.apm.2020.09.049

Cited by 7 publications

(2 citation statements)

References 34 publications

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“…Ma et al [22] have presented the exact analytical solutions of the fundamental problem of thermal conduction in anisotropic multilayer media in the permant regime. El Rassy et al [23] have used a stochastic optimization algorithm to estimate the thermal diffusivities of multilayer materials. Similarly Li et al [24] used the analytical integral transformation method for obtaining temperatures to simultaneously estimate the spatially variable thermal conductivity and thermal diffusivity in one-dimensional heat conduction in heterogeneous media.…”

Section: Introductionmentioning

confidence: 99%

Estimation of thermophysic properties of a bimaterial by temperature field measurement and finite element model updating

Koumekpo

Atchonouglo

Ayeleh

et al. 2023

Mechanics & Industry

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The aim of this study is to identify simultaneously the thermal conductivity tensor and the heat capacity per unit volume of a bimaterial, whose heat conduction obeys Fourier’s law. This approach is validated by numerical simulation. The simulated temperature fields are obtained by the direct resolution of the heat conduction equation solved numerically with the help of finite element method formulation. To identify the parameters, an inverse method is developed by using the finite element model updating (FEMU) based on the Levenberg-Marquardt algorithm. This inverse finite element method approach allowed us to estimate the thermophysical parameters sought. We validated the numerical procedure by using noiseless temperature fields at different time and space steps and two types of material: an homogeneous and a bimaterial one. To be close to real conditions, the influence of the noise on the temperature fields is also studied and shows the efficiency of the inverse method. The results of this procedure show that the identified parameters are very less sensitive to the number of infra-red images varying from 40 to 80 and the number of elements ranging from 20 to 50 for a specimen size equals to 36.6 × 36.6 mm2.

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Section: Introductionmentioning

confidence: 99%

Estimation of thermophysic properties of a bimaterial by temperature field measurement and finite element model updating

Koumekpo

Atchonouglo

Ayeleh

et al. 2023

Mechanics & Industry

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show abstract

“…Chien-Chang et al [3] presented the exact analytical solutions of the fundamental problem of thermal conduction in anisotropic multilayer media in the permant regime. Elissa et al [4] have from a 3D semi-analytical model and measurements resulting from a single 3D flash method experiment, using a stochastic optimization algorithm to estimate the thermal diffusivities of multilayer materials.…”

Section: Introductionmentioning

confidence: 99%

Inverse Method for Estimation of Thermophysics Properties of a Bimaterials

Koumekpo

Atchonouglo

Dupré

et al. 2022

KEM

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The aim of this study is to identify simultaneously the thermal conductivity tensor and the volume heat coefficient of a bimaterial (checkerboard) whose heat conduction obeys Fourier's law. This approach is validated by numerical simulation. The simulated temperature fields are obtained by the direct resolution heat conduction solved numerically by the finite element method formulation. To identify parameters, an inverse method is developed by using the finite element temperature approach (FEU-T) model fitting method based on the Levemberg-Marquardt algorithm. We validated the numerical procedure by using noiseless temperature fields at different time and space steps. The influence of the noise on the temperature fields is also studied and shows the efficiency of the inverse method. The results show that this procedure is not very sensitive to the number of elements (or space steps) and the number of time steps.

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A semi-analytical solution to incipient sliding contact on viscoelastic layer-elastic substrate with imperfectly bonded interface

Ding,

Hu,

Jian

et al. 2024

Applied Mathematical Modelling

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A direct method for the simultaneous characterization of thermal diffusivities of a bi-layer material consisting of a thin coating deposited on a substrate

Cited by 7 publications

References 34 publications

Estimation of thermophysic properties of a bimaterial by temperature field measurement and finite element model updating

Estimation of thermophysic properties of a bimaterial by temperature field measurement and finite element model updating

Inverse Method for Estimation of Thermophysics Properties of a Bimaterials

A semi-analytical solution to incipient sliding contact on viscoelastic layer-elastic substrate with imperfectly bonded interface

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