Generalized Effective Medium Theory for Particulate Nanocomposite Materials

Siddiqui, M.U.; Arif, Abul Fazal M.

doi:10.3390/ma9080694

Cited by 25 publications

(22 citation statements)

References 39 publications

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“…

{false⟨ c o s^{2} normalθ false⟩}^{i}

is a factor defining the orientation of inclusion of type i . For detailed description of each term, refer to Siddiqui and Arif …”

Section: Computational Materials Designsupporting

confidence: 88%

“…Expressions for the effective thermal conductivity of composites with dilute concentrations of inclusions of different shapes have been presented by Nan et al . Siddiqui and Arif extended the approach of Nan et al. to include the effects of nanometer sized inclusions and nonuniform dispersion of inclusions on the effective thermal conductivity of particulate composites.…”

Section: Introductionmentioning

confidence: 91%

See 1 more Smart Citation

A computational and experimental study on the effective properties of Al₂O₃‐Ni composites

Akhtar

Siddiqui

Raza

et al. 2017

Int J Applied Ceramic Tech

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It has been demonstrated that effective medium approximation and mean field homogenization technique is a useful computational tool to predict the effective thermal and structural properties of alumina‐nickel (Al2O3‐Ni) composites. Nickel particle size and volume fraction, thermal interface resistance and porosity are found significant factors that affect thermal conductivity, elastoplastic behavior, elastic modulus and thermal expansion coefficient of Al2O3‐Ni composite. To complement the computational design, Al2O3‐Ni composite samples with designed range of volume fractions and nickel particle size are developed using spark plasma sintering process and properties are measured for model verification.

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“…

{false⟨ c o s^{2} normalθ false⟩}^{i}

is a factor defining the orientation of inclusion of type i . For detailed description of each term, refer to Siddiqui and Arif …”

Section: Computational Materials Designsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 91%

A computational and experimental study on the effective properties of Al₂O₃‐Ni composites

Akhtar

Siddiqui

Raza

et al. 2017

Int J Applied Ceramic Tech

View full text Add to dashboard Cite

show abstract

“…This is worth noticing that the model used in this work is applicable to any type of matrix (polymers/ceramics/metals) similar to the original models of Nan et al [36] and Siddiqui et al [38] with dilute concentrations (< 15 volume %) of fillers. The Nan's model [36] is for composite with single type of filler and the Siddiqui's Model [38] is for composites with nonpercolating hybrid fillers. Later, they extended their model to work for percolating hybrid fillers [39], where the fillers #1 and 2 are supposed to be platelets (aspect ratio 1) and fibers (aspect ratio 1), respectively.…”

Section: Computational Modelmentioning

confidence: 97%

“…Parameter m is defined in the range 0.8–0.9 while the parameter

η

is given by the following equation:

η = 0.1 true(1 - \frac{K_{e f f}^{f i b e r s} - K_{e f f}^{p l a t e l e t s}}{K_{e f f}^{f i b e r s}} \times \frac{1}{100 φ_{t o t a l}} true)

where

K_{e f f}^{f i b e r s}

and

K_{e f f}^{p l a t e l e t s}

are the effective thermal conductivities of composites with single fillers; either fibers or platelets with a volume fraction equal to

φ_{t o t a l}

. This is worth noticing that the model used in this work is applicable to any type of matrix (polymers/ceramics/metals) similar to the original models of Nan et al and Siddiqui et al with dilute concentrations (< ∼15 volume %) of fillers. The Nan's model is for composite with single type of filler and the Siddiqui's Model is for composites with nonpercolating hybrid fillers.…”

Section: Computational Modelmentioning

confidence: 99%

Design and development of thermally conductive hybrid nano‐composites in polysulfone matrix

et al. 2018

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A percolating network of hybrid fillers can provide significant synergic enhancement of thermal conductivity in polymer matrix composites. Especially, when platelets and fibers of high aspect ratios are mixed to form a percolating network, the percolation thresholds are small. However, the optimum ratio of platelets to fibers must be acquired for the maximum synergic enhancement. In this work, polysulfone (PSU) matrix‐hybrid fillers composite is designed with high thermal conductivity using a computational model. The calibration of computational model with several experimentally measured thermal conductivities of polymer matrix‐hybrid nanocomposites leads to the composition where maximum synergic effect/maximum thermal conductivity is expected. For the specific PSU–Graphene nano‐platelets (GNPs)/Carbon nano‐tubes (CNTs) hybrid composites synthesized in this study, the composition with maximum thermal conductivity as designed by the model is PSU/8.4% GNPs/1.6% CNTs. The samples produced experimentally around this composition have shown close agreement with the predictions of the model. Sensitivity analyses and parametric studies conducted on the model highlight that the dimensional parameters and the interface resistance of the fillers are the most sensitive to enhance the effective thermal conductivity. POLYM. COMPOS., 40:1419–1432, 2019. © 2018 Society of Plastics Engineers

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“…There is considerable interest in understanding heat transport in nanomaterials . Nanomaterials with high thermal conductivity can be used to fabricate temperature‐dependent nanodevices.…”

Section: Introductionmentioning

confidence: 99%

Phonon Conductivity of Nanoparticles Embedded in Dielectric Material

Singh

Guo

Cid

et al. 2018

Physica Status Solidi (b)

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A theory of the thermal conductivity has been developed for nanomaterials made by embedding nanoparticles in a host dielectric material. The phonon dispersion relation has been calculated using the transfer matrix method in the long-range approximation, where the phonon wavelength is larger than the size of the nanoparticle. We found that these nanomaterials have two phonon branches known as ω þ k -phonon and ω À k -phonon branches. For both phonon branches, the density of states and the phonon velocity are calculated. The thermal conductivity is evaluated with the Kubo formalism and the Green's function method for both ω þ k -phonon and ω À k -phonon branches. It is also found that the density of states, phonon velocity and thermal conductivity for both phonon branches depend on the size of the nanoparticles, spacing between nanoparticles, and the phonon refractive index of the nanoparticles and the host material. In the long wave approximation, expressions of the phonon conductivity, the density of states and the phonon velocity have very simple forms which can be used by experimentalists to explain their experiments or plan new experiments. We have also applied our theory to explain the experimental thermal conductivity data of silica-resin, alumina-resin, AlN-resin and CaO-polyethylene nanomaterials. A good agreement between theory and experiments is achieved. Our results furthermore illustrate that one can fabricate new types of nanomaterials with high and low thermal conductivity by adjusting the refractive index contrast between nanoparticles and the host material. These are very novel and interesting properties and they can be used to fabricate new types of thermal devices.

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Generalized Effective Medium Theory for Particulate Nanocomposite Materials

Cited by 25 publications

References 39 publications

A computational and experimental study on the effective properties of Al₂O₃‐Ni composites

A computational and experimental study on the effective properties of Al₂O₃‐Ni composites

Design and development of thermally conductive hybrid nano‐composites in polysulfone matrix

Phonon Conductivity of Nanoparticles Embedded in Dielectric Material

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Generalized Effective Medium Theory for Particulate Nanocomposite Materials

Cited by 25 publications

References 39 publications

A computational and experimental study on the effective properties of Al2O3‐Ni composites

A computational and experimental study on the effective properties of Al2O3‐Ni composites

Design and development of thermally conductive hybrid nano‐composites in polysulfone matrix

Phonon Conductivity of Nanoparticles Embedded in Dielectric Material

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Product

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A computational and experimental study on the effective properties of Al₂O₃‐Ni composites

A computational and experimental study on the effective properties of Al₂O₃‐Ni composites