Elliptic percolation model for predicting the electrical conductivity of graphene–polymer composites

Aryanfar, Asghar; Medlej, Sajed; Tarhini, Ali; Tehrani‐Bagha, Ali Reza

doi:10.1039/d0sm01950j

Cited by 19 publications

(13 citation statements)

References 53 publications

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“…Moreover, the dependencies for both ellipses [12] and discorectangles collapse to single curve. The exponent tends to the analytical prediction (17) when the number density increases. 12.…”

Section: Resultsmentioning

confidence: 68%

“…[15]. The electrical properties of the 2D systems of randomly-placed conductive particles of the above shapes have also been studied [12,[16][17][18], with the greatest attention being paid to the simplest shape, i.e., to zero-width sticks [19][20][21], and the particular case when only the junction resistance is taken into account [22]. Some eccentricity-invariant properties of random isotropic, two-dimensional (2D) systems of conductive ellipses have recently been reported [12].…”

Section: Introductionmentioning

confidence: 99%

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Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

Tarasevich¹,

Eserkepov²

2022

Preprint

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Recently, some eccentricity-invariant properties of random, isotropic, two-dimensional (2D) systems of conductive ellipses have been reported [Phys. Rev. B 104, 184205 (2021)]. Moreover, the authors suggested that this invariance might also be observed in systems with other particle geometries having zero-width sticks as the limiting case. To check this suggestion, we studied 2D random systems of isotropically-placed, overlapping, identical discorectangles (stadia) with aspect ratios ranging from 1 (disks) to ∞ (zero-width sticks). We analyzed the effect of the aspect ratio and the number density of conductive discorectangles on the behavior of the electrical conductivity, the local conductivity exponent, and the current-carrying backbone. Our own computer simulations demonstrate that some of the properties of random, isotropic 2D systems of conductive discorectangles are insensitive to the aspect ratios of the particles.

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“…Moreover, the dependencies for both ellipses [12] and discorectangles collapse to single curve. The exponent tends to the analytical prediction (17) when the number density increases. 12.…”

Section: Resultsmentioning

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

Tarasevich¹,

Eserkepov²

2022

Preprint

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“…The CNT/CPNs and GNP/CPNs form a conductive path at relatively very low volume fractions and show very low percolation thresholds such as P c = 0.017–0.021 vol% for MWCNT/epoxy, 7 P c = 0.02 vol% for MWCNT/PP, 8 P c = 0.07–0.53 vol% for GNP/polyethylene and neat GNP/epoxy 9 and P c ≈ 0.04 vol% for GNP/PVDF-HFP. 10 The CB/CPNs show higher values for percolation thresholds of about P c = 2.7–30.5 vol%, 9 depending on the polymer matrix and the aspect ratio of fillers.…”

Section: Introductionmentioning

confidence: 93%

Geometrical and physical effects of nanofillers on percolation and electrical conductivity of polymer carbon-based nanocomposites: a general micro-mechanical model

Payandehpeyman

Mazaheri

2023

Soft Matter

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“…Salaeh et al 38 fabricated and examined a conductive elastomer composite of ultralow percolation threshold with a filler blend of multiwalled carbon nanotubes (MWCNT) and few-layered graphene (FLG) inside an epoxidized natural rubber (ENR) matrix, where they showed a reduction by 70% in percolation threshold from 1.19 vol % for single nanofiller (ENR/ MWNCT) to 0.36 vol % for hybrid nanofiller (ENR/ MWCNT/FLG). Aryanfar et al 39 presented a novel continuum percolation model with stochastically distributed fillers (elliptical-shaped graphene flakes) in polymer composites. They used Dijkstra's algorithm to find the optimal percolating paths in their model and estimated the effective electrical conductivity for different intrinsic parameters of the medium.…”

Section: ■ Introductionmentioning

confidence: 99%

Printable Graphene-Sustainable Elastomer-Based Cross Talk Free Sensor for Point of Care Diagnostics

Sharma

Selvan

Naskar

et al. 2022

ACS Appl. Mater. Interfaces

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Developing sensors for monitoring physiological parameters such as temperature and strain for point of care (POC) diagnostics is critical for better care of the patients. Various commercial sensors are available to get the job done; however, challenges like the structural rigidity of such sensors confine their usage. As an alternative, flexible sensors have been looked upon recently. In most cases, flexible sensors cannot discriminate the signals from different stimuli. While there have been reports on the printable sensors providing cross-talk-free solutions, research related to developing sensors from a sustainable source providing discriminability between signals is not well-explored. Herein, we report the development of a stencil printable composition made of graphene and epoxidized natural rubber. The stencil printability index was vetted using rheological studies. Post usage, the developed sensor was dissolved in an organic solvent at room temperature. This, along with the choice of a sustainable elastomer, warrants the minimization of electronic waste and carbon footprint. The developed material demonstrated good conformability with the skin and could perceive and decouple the signals from temperature and strain without inducing any crosstalks. Using a representative volume element model, a comparison between experimental findings and computation studies was made. The developed sensors demonstrated gauge factors of −506 and 407 in the bending strain regimes of 0–0.04% and 0.04%–0.09%, respectively, while the temperature sensitivity was noted to be −0.96%/°C. The printed sensors demonstrated a multifunctional sensing behavior for monitoring various active physiological parameters ranging from temperature, strain, pulse, and breathing to auditory responses. Using a Bluetooth module, various parameters like temperature and strain could be monitored seamlessly in a smart-phone. The current development would be crucial to open new avenues to fabricate crosstalk-free sensors from sustainable sources for POC diagnostics.

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Elliptic percolation model for predicting the electrical conductivity of graphene–polymer composites

Abstract: The numerical model can quantify the transmitting electrical conductivity within the composite in a larger range of particle geometry.

Cited by 19 publications

References 53 publications

Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

Geometrical and physical effects of nanofillers on percolation and electrical conductivity of polymer carbon-based nanocomposites: a general micro-mechanical model

Printable Graphene-Sustainable Elastomer-Based Cross Talk Free Sensor for Point of Care Diagnostics

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