Thermal conductivity of coated filler composites

Hatta, Hiroshi; Taya, Masahito

doi:10.1063/1.336412

Cited by 159 publications

(76 citation statements)

References 5 publications

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“…As shown in Figure 3, VAMUCH results are perfectly located between the variational bounds of [Donea 1972], while the Springer-Tsai model [Springer and Tsai 1967] and the lower bound of [Hashin 1983] underpredict the results. We have also found out that VAMUCH results are the same as those obtained by Behrens [1968], Hatta and Taya [1986], and the upper bound of [Hashin 1983], and these results are not shown in the plot for clarity.…”

Section: Effective Thermal Conductivity Of Fiber Reinforced Compositessupporting

confidence: 64%

“…The effective thermal conductivities computed by different models are plotted in Figure 4. We found out that the results of the Hashin upper bound [Hashin 1983] are the same as those of [Behrens 1968] and [Hatta and Taya 1986]. Hence only the Hashin upper bound is plotted in the figure.…”

Section: Effective Thermal Conductivity Of Fiber Reinforced Compositesmentioning

confidence: 73%

“…To validate the present theory, we compare the VAMUCH prediction with other models in the literature [Springer and Tsai 1967;Behrens 1968;Donea 1972;Hashin 1983;Hatta and Taya 1986]. As shown in Figure 3, VAMUCH results are perfectly located between the variational bounds of [Donea 1972], while the Springer-Tsai model [Springer and Tsai 1967] and the lower bound of [Hashin 1983] underpredict the results.…”

Section: Effective Thermal Conductivity Of Fiber Reinforced Compositesmentioning

confidence: 97%

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A variational asymptotic micromechanics model for predicting conductivities of composite materials

Tang

2007

JOMMS

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The focus of this paper is to extend the variational asymptotic method for unit cell homogenization (VA-MUCH) to predict the effective thermal conductivity and local temperature field distribution of heterogeneous materials. Starting from a variational statement of the conduction problem of the heterogeneous continuum, we formulate the micromechanics model as a constrained minimization problem using the variational asymptotic method. To handle realistic microstructures in applications, we implement this new model using the finite element method. For validation, a few examples are used to demonstrate the application and accuracy of this theory and companion code. Since heat conduction is mathematically analogous to electrostatics, magnetostatics, and diffusion, the present model can also be used to predict effective dielectric, magnetic, and diffusion properties of heterogeneous materials.

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Section: Effective Thermal Conductivity Of Fiber Reinforced Compositessupporting

confidence: 64%

Section: Effective Thermal Conductivity Of Fiber Reinforced Compositesmentioning

confidence: 73%

Section: Effective Thermal Conductivity Of Fiber Reinforced Compositesmentioning

confidence: 97%

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A variational asymptotic micromechanics model for predicting conductivities of composite materials

Tang

2007

JOMMS

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“…Various treatments (Hatta & Taya 1986;Benveniste & Miloh 1991;Clyne 2000) have been developed for prediction of the thermal conductivity of composites, as a function of the volume fraction and geometry of the 'reinforcing' constituent. An example is provided by the plots shown in figure 3, which were obtained using the Eshelby method (Hatta & Taya 1986). This leads to the following tensor equation for the conductivity in the presence of a volume fraction p of insulating ellipsoid-shaped voids…”

Section: Heat Flow In Porous Materials (A ) Heat Flow Mechanismsmentioning

confidence: 99%

Porous materials for thermal management under extreme conditions

Clyne

Golosnoy

Tan

et al. 2005

Phil. Trans. R. Soc. A.

116

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A brief analysis is presented of how heat transfer takes place in porous materials of various types. The emphasis is on materials able to withstand extremes of temperature, gas pressure, irradiation, etc., i.e. metals and ceramics, rather than polymers. A primary aim is commonly to maximize either the thermal resistance (i.e. provide insulation) or the rate of thermal equilibration between the material and a fluid passing through it (i.e. to facilitate heat exchange). The main structural characteristics concern porosity (void content), anisotropy, pore connectivity and scale. The effect of scale is complex, since the permeability decreases as the structure is refined, but the interfacial area for fluid-solid heat exchange is, thereby, raised. The durability of the pore structure may also be an issue, with a possible disadvantage of finer scale structures being poor microstructural stability under service conditions. Finally, good mechanical properties may be required, since the development of thermal gradients, high fluid fluxes, etc. can generate substantial levels of stress. There are, thus, some complex interplays between service conditions, pore architecture/scale, fluid permeation characteristics, convective heat flow, thermal conduction and radiative heat transfer. Such interplays are illustrated with reference to three examples: (i) a thermal barrier coating in a gas turbine engine; (ii) a Space Shuttle tile; and (iii) a Stirling engine heat exchanger. Highly porous, permeable materials are often made by bonding fibres together into a network structure and much of the analysis presented here is oriented towards such materials.

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“…In order to model transverse (out-of-plane) thermal conductivities of threedimensional fiber assemblies, these models have to be combined in a parallel connection, as also suggested by Kulkarni and Brady for carbon/carbon composites [27]. More specifically, the model for longitudinal thermal conductivity of Thornburg and Pears for "Z"-fibers and the commonly used transverse conductivity model of Hatta and Taya for orthotropic x-and y-fibers are applied [11,16]. references, the thermal resistance R int at the interfaces from meter bars and sample was determined to be 533 (K mm 2 )/W.…”

Section: Predictive Models For Thermal Conductivity Of Compositesmentioning

confidence: 99%