Electrical percolation of silicone rubber filled by carbon black and carbon nanotubes researched by the Monte Carlo simulation

2019 ◽  
Vol 136 (46) ◽  
pp. 48222 ◽  
Author(s):  
Yingchun Lu ◽  
Hao Wu ◽  
Jian Liu ◽  
Yue Liu ◽  
Junnan Zhao ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Carbon Black ◽  
Silicone Rubber ◽  
Electrical Percolation

scholarly journals 3D Monte Carlo simulation modeling for the electrical conductivity of carbon nanotube-incorporated polymer nanocomposite using resistance network formation

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Nanzhu Zhao 1 ◽  
Yongha Kim 1 ◽  
Joseph H. Koo 1
Keyword(s):  
Carbon Nanotubes ◽  
Electrical Conductivity ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Carbon Nanotube ◽  
Network Formation ◽  
Polymer Nanocomposite ◽  
Electrical Percolation ◽  
Resistance Network ◽  
3D Monte Carlo

High electrical and thermal conductivity associated with high stiffness and strength offer tremendous opportunities to the development of a series of carbon nanotube incorporated composite materials for a variety of applications. In particular, a small amount of carbon fibers or carbon nanotubes in a non-conductive polymer will transform a composite into a conductive material, which reveals superb potential of their future application in electronic devices. The relation between the amount of carbon nanotubes in a polymer and the electrical conductivity of it can be studied experimentally as well as theoretically with various simulation models. A three-dimensional (3D) Monte Carlo simulation model using resistance network formation was developed to study the relation between the electrical conductivity of the polymer nanocomposite and the amount of carbon nanotubes dispersed in it. In this model, carbon nanotubes were modeled as curvy cylindrical nanotubes with various lengths and fixed tube diameter, all of which were randomly distributed in a non-conductive constrained volume, which represents polymer. The model can be used to find the volumetric electrical resistance of a constrained cubic structure by forming a comprehensive resistance network among all of the nanotubes in contact. As more and more nanotubes were added into the volume, the electrical conductivity of the volume increases exponentially. However, once the amount of carbon nanotubes reached about 0.1 % vt (volume percentage), electrical percolation was detected, which was consistent with the experimental results. This model can be used to estimate the electrical conductivity of the composite matrix as well as to acquire the electrical percolation threshold.

scholarly journals A Numerical Study on Electrical Percolation of Polymer-Matrix Composites with Hybrid Fillers of Carbon Nanotubes and Carbon Black

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yuli Chen ◽  
Shengtao Wang ◽  
Fei Pan ◽  
Jianyu Zhang
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Black ◽  
Percolation Threshold ◽  
Polymer Matrix ◽  
Polymer Matrix Composites ◽  
Matrix Composites ◽  
Electrical Percolation ◽  
Hybrid Fillers ◽  
Nonlinear Relation ◽  
Electrical Percolation Threshold

The electrical percolation of polymer-matrix composites (PMCs) containing hybrid fillers of carbon nanotubes (CNTs) and carbon black (CB) is estimated by studying the connection possibility of the fillers using Monte Carlo simulation. The 3D simulation model of CB-CNT hybrid filler is established, in which CNTs are modeled by slender capped cylinders and CB groups are modeled by hypothetical spheres with interspaces because CB particles are always agglomerated. The observation on the effects of CB and CNT volume fractions and dimensions on the electrical percolation threshold of hybrid filled composites is then carried out. It is found that the composite electrical percolation threshold can be reduced by increasing CNT aspect ratio, as well as increasing the diameter ratio of CB groups to CNTs. And adding CB into CNT composites can decrease the CNT volume needed to convert the composite conductivity, especially when the CNT volume fraction is close to the threshold of PMCs with only CNT filler. Different from previous linear assumption, the nonlinear relation between CB and CNT volume fractions at composite percolation threshold is revealed, which is consistent with the synergistic effect observed in experiments. Based on the nonlinear relation, the estimating equation for the electrical percolation threshold of the PMCs containing CB-CNT hybrid fillers is established.

Predictions of electrical percolation of graphene‐based nanocomposites by the three‐dimensional Monte Carlo simulation

2020 ◽  
Vol 137 (34) ◽  
pp. 48999
Author(s):  
Yue Liu ◽  
Chen Wu ◽  
Huanfeng Zhou ◽  
Ping Liu ◽  
Caixia Liu ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Three Dimensional ◽  
Electrical Percolation

Monte Carlo Simulation of the Dispersion of Carbon Nanotubes in Cement Matrix

2014 ◽  
Vol 597 ◽  
pp. 40-44
Author(s):  
Bao Min Wang ◽  
Yuan Zhang ◽  
Ming Li Yu ◽  
Yu Han
Keyword(s):  
Carbon Nanotubes ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Random Distribution ◽  
Three Dimensional ◽  
Hard Core ◽  
Volume Element ◽  
Cement Matrix ◽  
Simulation Calculation ◽  
Hard Core Model

In this paper, the dispersion of carbon nanotubes (CNTs) in cement matrix was analyzed by Three-dimensional Monte Carlo Simulation. A Hard core model was employed which was not allow the intersection among CNTs in a simulated three-dimensional representative volume element (3-D RVE). The position and the orientation of CNTs were assumed to follow the uniformly random distribution. The results showed that CNTs were dispersed randomly and it was helpful for the further simulation calculation about mechanical, conductivity and piezoresistivity properties.

Enhancing the Piezoresistance Senstivity and Repeatability of Carbon Nanotube/Silicone Nanocomposites

2014 ◽  
Vol 590 ◽  
pp. 207-210
Author(s):  
Xiao Xiang Zhang ◽  
Long Ba
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Composite Materials ◽  
Carbon Black ◽  
Silicone Rubber ◽  
Smart Materials ◽  
Biomedical Engineering ◽  
Rubber Composites ◽  
Rubber Composite ◽  
Percolation Network

The nanocomposites of carbon nanotube/polymer have been studied to explore their piezoresistance properties, which can be used as smart materials in the fields like biomedical engineering, robotic engineering, and advanced instrumentation. The differences in piezoresistance behavior of the previous studies were explained by the less uniformity of carbon nanotubes. To clarify the resistance versus deformation relations for carbon nanotube/silicone rubber composite materials, we have fabricated composite materials with various nanotube and carbon black contents. The measurements show that the resistance versus deformation sensitive range is depends on both the content of nanotube and carbon black, while the tiny variation of content of the carbon black affects largely the total piezoresistance sensitivity and repeatability. The experiment shows that adequate amount of carbon balck mixed with carbon nanotube can improve the piezoresistance repeatability. The deformation induced variation of the conducting percolation network shall be the dominating mechanism for the piezoresistance behavior of carbon nanotube/silicone rubber composites.

Sign in / Sign up

Export Citation Format

Share Document