Optimal experiment design for thermal property estimation using a boundary condition of the fourth kind with a time-limited heating period

D'Alessandro, Giampaolo; Monte, Filippo de

doi:10.1016/j.ijheatmasstransfer.2019.02.035

Cited by 13 publications

(8 citation statements)

References 19 publications

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“…A more accurate sensitivity analysis has been applied to the titanium alloy following the procedure described in [21], [22] for a parameter estimation problem in heat conduction. The starting point was the computation of the Δ + determinant related to the model variables, in order to seek an optimum measurement point.…”

Section: Improvement Of the Np-m Curve Fittingmentioning

confidence: 99%

Constitutive material law improvements for metals that manifest an unstable behavior in dynamic condition

Mancini

Sasso

Farotti

et al. 2023

J. Phys.: Conf. Ser.

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Numerical analysis is regularly used in engineering practice as useful mean to study component behavior in service, especially when an experimental campaign is too expensive or not practicable. Numerical software is becoming more and more powerful and integrated, leaving the correct use of a material model as a weak point. As some materials could manifest an unstable behavior if deformed at high strain rate, it is of primary importance to use an appropriate constitutive law to reproduce their behaviour. This paper shows the results of the inverse calibration of two material (Ti-4Al-6V and AA 7075-T6) constitutive laws in their classical definition, as present in the literature. Moreover, both of them have been modified by the authors in the attempt of improving the complex material behaviour. The calibrated models are Johnson-Cook (JC) and Nowak-Pecherski (NP) models. The improvement of these models showed that JC is not suitable for calibrate materials that show an unstable behavior also after its improvement; conversely NP provided a better matching with the experimental data.

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Section: Improvement Of the Np-m Curve Fittingmentioning

confidence: 99%

Constitutive material law improvements for metals that manifest an unstable behavior in dynamic condition

Mancini

Sasso

Farotti

et al. 2023

J. Phys.: Conf. Ser.

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“…One of the inverse transient techniques for thermal property estimation of solid materials, called the "plane source method", requires an experimental apparatus consisting of a thin electrical heater sandwiched between two samples of the same material and thickness [121][122][123]. This apparatus is similar to the plane source method (Section 5.3), but data processing is mainly based on inverse problem technique.…”

Section: One-dimensional Modelsmentioning

confidence: 99%

“…In the opposite direction, only a few authors have considered the effect of the thermal inertia of the heater; for instance, Dowding et al [121] used a multilayer numerical model with known heater properties, and D'Alessandro and de Monte [122] suggested a single-layer analytical model with a fourth kind boundary condition applied to the heated surface of the sample. Specifically, this boundary condition occurs when a heat flux is supplied to a perfectly-conductive thin layer which is in perfect contact with a whatever domain.…”

Section: One-dimensional Modelsmentioning

confidence: 99%

Modeling and Measuring Thermodynamic and Transport Thermophysical Properties: A Review

et al. 2022

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The present review describes the up-to-date state of the evaluation of thermophysical properties (TP) of materials with three different procedures: modeling (also including inverse problems), measurements and analytical methods (e.g., through computing from other properties). Methods to measure specific heat and thermal conductivity are described in detail. Thermal diffusivity and thermal effusivity are a combination of the previously cited properties, but also for these properties, specific measurement and calculation methods are reported. Experiments can be carried out in steady-state, transient, and pulse regimes. For modeling, special focus is given to the inverse methods and parameter estimation procedures, because through them it is possible to evaluate the thermophysical property, assuring the best practices and supplying the measurement uncertainty. It is also cited when the most common data processing algorithms are used, e.g., the Gauss–Newton and Levenberg–Marquardt least squares minimization algorithms, and how it is possible to retrieve values of TP from other data. Optimization criteria for designing the experiments are also mentioned.

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“…It is interesting to observe that the schematic of Figure 4 represents the experimental apparatus used for thermal properties measurements [2,18]. In particular, the thin film represents the heater, while the two slabs are the specimens of the material under investigation.…”

Section: Thin Layer Between Two Slabsmentioning

confidence: 99%

“…Two or three-layer structures are used in a number of applications in engineering, such as in the field of thermoplastic shaping of polymers [1] and in the estimation of the thermal properties of solid materials [2,3]. In the latter field, for example, an experimental apparatus consisting of a thin layer heater located between two specimens of the same material and thickness is employed in order to obtain measured temperature values.…”

Section: Introductionmentioning

confidence: 99%

Multi-Layer Transient Heat Conduction Involving Perfectly-Conducting Solids

D'Alessandro

Monte

2020

Energies

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Boundary conditions of high kinds (fourth and sixth kind) as defined by Carslaw and Jaeger are used in this work to model the thermal behavior of perfect conductors when involved in multi-layer transient heat conduction problems. In detail, two- and three-layer configurations are analyzed. In the former, a thin layer modeled as a lumped body is subject to a surface heat flux on the front side while it is in perfect (fourth kind) or in imperfect (sixth kind) thermal contact with a semi-infinite or finite body on the back side. When dealing with a semi-infinite body in imperfect contact, the temperature solution is derived by means of the Laplace transform method. Green’s function approach is also used but for solving the companion case of a finite body in perfect contact with the thin film. In the latter, a thin layer with internal heat generation is located between two semi-infinite or finite bodies in perfect/imperfect contact. For the sake of thermal symmetry, such a three-layer structure reduces to a two-layer configuration. Results are given in both tabular and graphical forms and show the effect of heat capacity and thermal resistance on the temperature distribution of conductive layers.

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Optimal experiment design for thermal property estimation using a boundary condition of the fourth kind with a time-limited heating period

Cited by 13 publications

References 19 publications

Constitutive material law improvements for metals that manifest an unstable behavior in dynamic condition

Constitutive material law improvements for metals that manifest an unstable behavior in dynamic condition

Modeling and Measuring Thermodynamic and Transport Thermophysical Properties: A Review

Multi-Layer Transient Heat Conduction Involving Perfectly-Conducting Solids

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