For designing conductive polymer composites (CPCs), understanding how the fiber curvature affects the percolation behavior of curved conductive fibers is essential for determining the effective electrical conductivity σ_eff of the CPCs. In this work, CPCs were considered as a polymer matrix filled with the random packing of overlapped curved spherocylinders. The geometries of the curved spherocylinders were defined, and inter-curved spherocylinder contact-detecting and system-spanning fiber cluster searching algorithms were developed. The finite-size-scaling method was used to explore how the aspect ratio α and bending central angle θ of a curved spherocylinder affect the percolation threshold ϕ_c of an overlapped curved spherocylinder system in 3D space. The findings suggest that ϕ_c decreases as α increases and increases initially before declining as θ increases. An empirical approximation formula was proposed to quantify the effect of the curved spherocylinder's morphology, characterized by the dimensionless excluded volume V_dex of the curved spherocylinder, on ϕ_c. The new rigorous bound for ϕ_c of the soft-curved spherocylinder system was further proposed. A random resistor network model was constructed, and the reliability of this model was validated by comparing the simulations and published data. Finally, a fitting formula was developed to assess the impacts of the normalized reduced density (η - η_c)/η_c and V_dex on the σ_eff of CPCs. A distinct linear correlation between σ_eff and (η - η_c)/η_c was constructed, denoted as σ_eff ∼ [(η - η_c)/η_c]^t(α,θ). An empirical approximation model was proposed to establish the relationship between the fiber shape and conductivity exponent t. Our study may provide a theoretical hint for the design of CPCs.

#	Concept	H-Index	Publications	Citations
1	Engineering	1	1	38
2	Geography	1	1	38
3	Earth Sciences	1	1	38
4	Geology	1	1	38
5	Earth Science	1	1	38

	Year	Citations

About

Top Concepts