Thermal Conductivity of Hybrid Short Fiber Composites

Dunn, Martin L.; Taya, Masahito; Hatta, Hiroshi; Takei, Takako; Nakajima, Yoji

doi:10.1177/002199839302701505

Cited by 51 publications

(10 citation statements)

References 22 publications

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“…Generally, the degree of anisotropy decreases with decreasing BN. [26] The BN particles distributed in composites are about hundreds of nanometers in thickness as well as several micrometers in length, as can be seen from Figure 7. This results in a small degree of anisotropy.…”

Section: B Effect Of Bn On the Effective Thermal Conductivitymentioning

confidence: 87%

“…[17,[23][24][25] In composite ceramics, another important factor that cannot be ignored is the effect of porosity on the thermal conductivity. Dunn [26] proposed a model to calculate the thermal conductivity of multiphase ellipsoid inclusion composites on the basis of Eshelby's model. [22] The pores in composite ceramics were evaluated by treating the porosity containing materials as a special case of the inclusion composites, with a zero thermal conductivity for the inclusions.…”

Section: B Effect Of Bn On the Effective Thermal Conductivitymentioning

confidence: 99%

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Thermal diffusivity/conductivity of MgAlON-BN composites

Zhang

Seetharaman

2006

Metall Mater Trans B

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Thermal diffusivity and heat capacity of MgAlON and MgAlON-BN composites were measured in the temperature range of 25°C to 1300°C using a laser flash technique and a differential scanning calorimeter (DSC) technique, respectively. Based on these measurements, effective thermal conductivity of the composites was calculated using the values measured earlier in the same substance. The experimental effective thermal conductivity results of the composites containing different BN contents were found to show the similar trend, which decreased rapidly with increasing temperature below 900°C followed by a slow decrease with further increasing temperature. This can be explained by the fact that thermal conduction in both components, MgAlON and BN, was dominated by phonons. The phonon mean free path decreased with increasing temperature, limited by the characteristic length between two neighboring atoms. The BN addition has significant influence on the effective thermal conductivity. The effective thermal conductivity of the composites containing BN exhibited a small degree of anisotropy with respect to preferred orientation of the BN phase. The degree of anisotropy of the composites increased with increasing BN content, which is particularly pronounced at the higher BN additions. An equation suitable for the present composites has been derived based on Luo's model. The model was slightly modified in the present article. The predicted values calculated by the model were in good agreement with experimental results.

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Section: B Effect Of Bn On the Effective Thermal Conductivitymentioning

confidence: 87%

Section: B Effect Of Bn On the Effective Thermal Conductivitymentioning

confidence: 99%

Thermal diffusivity/conductivity of MgAlON-BN composites

Zhang

Seetharaman

2006

Metall Mater Trans B

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“…In [12], a combined analytical/experimental study was undertaken to investigate the effective thermal conductivity of hybrid composite materials utilizing the equivalent inclusion approach for steady-state heat conduction. In [30], a critical comparison is presented of analytical models developed to predict the effective thermal conductivity of graphite fiber composites with results obtained by experimental studies, stating the necessity of taking the interfacial thermal resistance into account and the lack of accuracy of the theoretical models developed so far.…”

Section: Introductionmentioning

confidence: 99%

Improved variational bounds for conductive periodic composites with 3D microstructures and nonuniform thermal resistance

López-Ruiz

Bravo‐Castillero

Brenner

et al. 2015

Z. Angew. Math. Phys.

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Improved variational bounds for the effective conductivity of a matrix-inclusion conductive periodic composite are obtained. The studied composite is macroscopically anisotropic with nonuniform interfacial thermal resistance between isotropic phases. The homogenization theory is applied to a three-dimensional heat conduction problem which is stated in terms of nondimensional parameters. The Biot number is explicitly given in the variational formulation of the local problems and in the related minimization problems. The approach is based on the Lipton-Vernescu variational principles which allow to derive narrower bounds by incorporating more detailed morphological information. The bounds depend on the concentration and the conductivity of each phase, the periodic distribution and the shape of the inclusions, the Biot number and the nonuniform interfacial resistance.Mathematics Subject Classification. 35J20 · 35J25.

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“…More precisely, the problem of determining the temperature gradient field over an infinite homogeneous medium containing an elliptical or ellipsoidal inhomogeneity and undergoing a remote uniform temperature gradient can be reduced to Eshelby's thermal inclusion problem by imposing a suitable uniform heat flux-free temperature gradient. A number of studies dealing with estimation of the effective transport properties of inhomogeneous media have considered only elliptical or ellipsoidal inhomogeneities and resorted to Eshelby's equivalent inclusion idea (Hatta & Taya 1985, 1986McLachlan 1987;Miloh & Benveniste 1988;Whitehouse et al 1991;Dunn et al 1993;Lu 1998Lu , 1999Shafiro & Kachanova 2000;Berryman 2005;Giordano & Palla 2008).…”

Section: Introductionmentioning

confidence: 99%

Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section

Zou

Zheng

2010

Proc. R. Soc. A.

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Eshelby's inclusion problem is solved for non-elliptical inclusions in the context of twodimensional thermal conduction and for cylindrical inclusions of non-elliptical cross section within the framework of generalized plane elasticity. First, we consider a twodimensional infinite isotropic or anisotropic homogeneous medium with a non-elliptical inclusion subjected to a prescribed uniform heat flux-free temperature gradient. Eshelby's conduction tensor field and its area average are first expressed compactly in terms of two boundary integrals avoiding the usual singularity and then specified analytically for arbitrary polygonal inclusions and for inclusions characterized by the finite Laurent series. Next, we are interested in a three-dimensional infinite isotropic or transversely isotropic homogeneous medium with a cylindrical inclusion of a non-elliptical cross section that undergoes uniform generalized plane eigenstrains. The solution to this problem is obtained by decomposing a generalized plane eigenstrain tensor into a plane strain part and an anti-plane strain part, exploiting the mathematical similarity between two-dimensional thermal conduction and anti-plane elasticity, and combining the relevant results of Zou et al. (Zou et al. 2010 J. Mech. Phys. Solids 58, 346-372. (doi:10.1016/j.jmps.2009.008)) with those derived in the present work for Eshelby's conduction tensor field and its area average.

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Thermal Conductivity of Hybrid Short Fiber Composites

Cited by 51 publications

References 22 publications

Thermal diffusivity/conductivity of MgAlON-BN composites

Thermal diffusivity/conductivity of MgAlON-BN composites

Improved variational bounds for conductive periodic composites with 3D microstructures and nonuniform thermal resistance

Solutions to Eshelby’s problems of non-elliptical thermal inclusions and cylindrical elastic inclusions of non-elliptical cross section

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