Predicting the thermal conductivity of composite materials with imperfect interfaces

Marcos-Gómez, D.; Ching-Lloyd, J.; Elizalde, M.R.; Clegg, W.J.; Molina-Aldareguia, J.M.

doi:10.1016/j.compscitech.2010.05.027

Cited by 60 publications

(17 citation statements)

References 11 publications

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“…Numerical modeling based on finite element analyses has been widely used to predict the effective properties of composites, including the mechanical, thermal, electrical, piezoelectric, thermoelectric properties (Pan et al, 2008;Wang et al, 2011;Miled et al, 2013;Lu et al, 2014;Doghri et al, 2016;Lee et al, 2018aLee et al, , 2019. However, to obtain statistically meaningful results, finite element analyses require multiple evaluations of large simulation cells involving a large number of fillers, thus necessitating a much fine mesh near the boundary to serve as representative volumes and leading to the requirement of computationally expensive and time-consuming calculations (Xu and Yagi, 2004;Marcos-Gomez et al, 2010;Lee et al, 2018aLee et al, , 2019. Such extensive numerical calculations are feasible for predictions of the effective properties of systems in the linear response regime.…”

Section: Introductionmentioning

confidence: 99%

Micromechanics-Based Homogenization of the Effective Physical Properties of Composites With an Anisotropic Matrix and Interfacial Imperfections

et al. 2019

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Micromechanics-based homogenization has been employed extensively to predict the effective properties of technologically important composites. In this review article, we address its application to various physical phenomena, including elasticity, thermal and electrical conduction, electric, and magnetic polarization, as well as multi-physics phenomena governed by coupled equations such as piezoelectricity and thermoelectricity. Especially, for this special issue, we introduce several research works published recently from our research group that consider the anisotropy of the matrix and interfacial imperfections in obtaining various effective physical properties. We begin with a brief review of the concept of the Eshelby tensor with regard to the elasticity and mean-field homogenization of the effective stiffness tensor of a composite with a perfect interface between the matrix and inclusions. We then discuss the extension of the theory in two aspects. First, we discuss the mathematical analogy among steady-state equations describing the aforementioned physical phenomena and explain how the Eshelby tensor can be used to obtain various effective properties. Afterwards, we describe how the anisotropy of the matrix and interfacial imperfections, which exist in actual composites, can be accounted for. In the last section, we provide a summary and outlook considering future challenges.

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Section: Introductionmentioning

confidence: 99%

Micromechanics-Based Homogenization of the Effective Physical Properties of Composites With an Anisotropic Matrix and Interfacial Imperfections

et al. 2019

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“…Recently, it has been shown that the orientation of carbon nanofibers in a copper matrix leads to anisotropic thermal conductivity [25]. In such perspective, the present work aims at investigating the anisotropic thermal conductivity behaviour of ceramic metal composites processed from freeze casted ceramic performs.…”

Section: Introductionmentioning

confidence: 99%

Thermal conductivity of ceramic/metal composites from preforms produced by freeze casting

Hautcoeur

Lorgouilloux

Leriche

et al. 2016

Ceramics International

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“…Numerical modeling based on finite element analyses has been widely used to predict the effective properties of composites, including the mechanical, thermal, electrical, piezoelectric, thermoelectric properties (Pan et al, 2008;Wang et al, 2011;Miled et al, 2013;Lu et al, 2014;Doghri et al, 2016;Lee et al, 2018a;Lee et al, 2018b). However, to obtain statistically meaningful results, finite element analyses require multiple evaluations of large simulation cells involving a large number of fillers, thus necessitating a much fine mesh near the boundary to serve as representative volumes and leading to the requirement of computationally expensive and time-consuming calculations (Xu and Yagi, 2004;Marcos-Gomez et al, 2010;Lee et al, 2018a;Lee et al, 2018b). Such extensive numerical calculations are feasible for predictions of the effective properties of systems in the linear response regime.…”

Section: Introductionmentioning

confidence: 99%

Micromechanics-based homogenization of the effective physical properties of composites with an anisotropic matrix and interfacial imperfections

Ryu¹,

Lee²,

Jung³

et al. 2018

Preprint

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Micromechanics-based homogenization has been employed extensively to predict the effective properties of technologically important composites. In this review article, we address its application to various physical phenomena, including elasticity, thermal and electrical conduction, electric and magnetic polarization, as well as multi-physics phenomena governed by coupled equations such as piezoelectricity and thermoelectricity. Especially, we introduce several research works published recently from our research group that consider the anisotropy of the matrix and interfacial imperfections in obtaining various effective physical properties. We begin with a brief review of the concept of the Eshelby tensor with regard to the elasticity and mean-field homogenization of the effective stiffness tensor of a composite with a perfect interface between the matrix and inclusions. We then discuss the extension of the theory in two aspects. First, we discuss the mathematical analogy among steady-state equations describing the aforementioned physical phenomena and explain how the Eshelby tensor can be used to obtain various effective properties. Afterwards, we describe how the anisotropy of the matrix and interfacial imperfections, which exist in actual composites, can be accounted for. In the last section, we provide a summary and outlook considering future challenges.

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Predicting the thermal conductivity of composite materials with imperfect interfaces

Abstract: This paper compares the predicted values of the thermal conductivity of a composite made using the equivalent inclusion method (EIM) and the finite element method

Cited by 60 publications

References 11 publications

Micromechanics-Based Homogenization of the Effective Physical Properties of Composites With an Anisotropic Matrix and Interfacial Imperfections

Micromechanics-Based Homogenization of the Effective Physical Properties of Composites With an Anisotropic Matrix and Interfacial Imperfections

Thermal conductivity of ceramic/metal composites from preforms produced by freeze casting

Micromechanics-based homogenization of the effective physical properties of composites with an anisotropic matrix and interfacial imperfections

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