Inverse determination of surface temperature in thin-film/substrate systems with interface thermal resistance

Wu, Shih-Kuo; Chu, Hsin‐Sen

doi:10.1016/j.ijheatmasstransfer.2004.01.022

Cited by 9 publications

(4 citation statements)

References 22 publications

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“…Detailed discussion on the mechanism behind the phenomenon was also documented. On the other hand, many studies [25][26][27] have also documented the sensitive nature of the predictive accuracy of an inverse solution on the relative position between the measured and estimated quantities in transient heat conduction problems. However, most of them tackled the issue by just reporting the finding, and there has not been a study probing deeper to reveal the mechanism behind the sensitivity.…”

Section: Introductionmentioning

confidence: 99%

Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method

Chen¹,

Yu²

2011

Applied Mathematical Modelling

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a b s t r a c tIn this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to estimate the unknown time-dependent frictional heat flux at the interface of two semi-spaces, one of them is covered by a strip of coating, during a sliding-contact process from the knowledge of temperature measurements taken within one of the semi-space. It is assumed that no prior information is available on the functional form of the unknown heat generation; hence the procedure is classified as the function estimation in inverse calculation. Results show that the relative position between the measured and the estimated quantities is of crucial importance to the accuracy of the inverse algorithm. The current methodology can be applied to the prediction of heat generation in engineering problems involving sliding-contact elements.

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Section: Introductionmentioning

confidence: 99%

Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method

Chen¹,

Yu²

2011

Applied Mathematical Modelling

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“…In recent years, inverse methods for heat conduction problems have become widely used in theory and practice. These inverse heat conduction problems (IHCPs) are involved with finding the unknowns such as the boundary conditions [1,2], thermophysical properties [3][4][5][6][7][8][9], boundary configurations [10,11] and subsurface inclusions [12][13][14] from interior or surface temperature measurement. In this paper, the thermal conductivity distribution of the interlayer of a sandwich plate is estimated with an inverse method based on the surface temperature measurement.…”

Section: Introductionmentioning

confidence: 99%

A numerical method for determining thermal conductivity distribution of the interlayer of a sandwich plate based on thermographic temperature measurement

Fan¹,

Sun²,

Li³

2008

J. Phys. D: Appl. Phys.

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The thermal conductivity distribution of the interlayer of a sandwich plate in a multidimensional heat conduction problem is obtained from the solution of the inverse heat conduction problem (IHCP) based on the thermographic temperature measurement. The modified one-dimensional correction method along with the finite volume method is employed for both two-dimensional and three-dimensional inverse problems. A series of numerical experiments are conducted in order to verify the effectiveness of the method. In addition, the effect of the temperature measurement error, the stopping criterion of the iteration, etc on the result of the problem is investigated. It is proved by numerical experiments that the method is a simple, stable and accurate one for this IHCP.

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“…In general, it is not easy to obtain analytical solutions to a dynamical magneto-thermo-viscoelastic problem in anisotropic materials. therefore, an important number of engineering and mathematical papers devoted to the numerical solution have studied the overall behavior of such materials (Oden and Armstrong, 1971;Ting and Chen, 1982;Dargush and Banerjee, 1991;Misra, et al, 1992;Chen, et al, 2009;Tsai, 2009;Xing and Makinouchi, 2002;El-Naggar, et al, 2002Abd-Alla, et al, 2003, 2008Wu and Chu, 2004;Baksi, et al, 2006;Hosseini, et al, 2007;Huang and Rosakis, 2007;Fahmy, 2008Fahmy, , 2009Fahmy and El-Shahat, 2008;Feng, et al, 2008;Othman and Song, 2008;Damanpack, et al (2013);Rafieipour, et al (2013)). …”

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confidence: 99%

A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

Fahmy

2014

Lat. Am. j. solids struct.

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A numerical computer model, based on the dual reciprocity boundary element method (DRBEM) for studying the generalized magneto-thermo-visco-elastic stress waves in a rotating functionally graded anisotropic thin film/substrate structure under pulsed laser irradiation is established. An implicit-implicit staggered algorithm was proposed and implemented for use with the DRBEM to get the solution for the temperature, displacement components and thermal stress components through the structure thickness. A comparison of the results for different theories is presented in the presence and absence of rotation. Some numerical results that demonstrate the validity of the proposed method are also presented. Key wordsMagneto-Thermoviscoelasticity; Rotation; Functionally graded materials; Anisotropic; Dual Reciprocity Boundary Element Method; Distribution.A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures 1 INTRODUCTION Biot (1956) introduced the theory of coupled thermoelasticity to overcome the first shortcoming in the theory of uncoupled thermoelasticity introduced by Duhamel (1837) and Neuman (1885) where it predicts two phenomena not compatible with physical observations. First, the equation of heat conduction of this theory does not contain any elastic terms. Second, the heat equation is of a parabolic type, predicting infinite speeds of propagation for heat waves. Later on, generalized theories of thermoelasticity were introduced in order to eliminate the shortcomings of the uncoupled thermoelasticity. Lord and Shulman (1967) developed the theory of coupled thermoelasticity with one relaxation time by constructing a new law of heat conduction to replace the classical Fourier's law. This law contains the heat flux vector as well as its time derivative. It contains also new constant that acts as relaxation time. Since the heat equation of this theory is of the wave-type, it automatically ensures finite speeds of propagation for heat and elastic waves. Green and Lindsay (1972) cluded a temperature rate among the constitutive variables to develop a temperature-ratedependent thermoelasticity that does not violate the classical Fourier's law of heat conduction when the body under consideration has a center of symmetry; this theory also predicts a finite speed of heat propagation. This theory is known as the theory of thermoelasticity with two relaxation times. According to these theories, heat propagation should be viewed as a wave phenomenon rather than diffusion one Relevant theoretical developments on the subject were made by Naghdi (1992, 1993) they developed three models for generalized thermoelasticity of homogeneous isotropic materials which are labeled as model I, II and III. These theories of thermoelasticity LS, GL and GN theories are known as the generalized theories of thermoelasticity with finite thermal wave speed. In general, it is not easy to obtain analytical solutions to a dynamical magneto-...

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Inverse determination of surface temperature in thin-film/substrate systems with interface thermal resistance

Cited by 9 publications

References 22 publications

Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method

Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method

A numerical method for determining thermal conductivity distribution of the interlayer of a sandwich plate based on thermographic temperature measurement

A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

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