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Dielectric breakdown model for composite materials.

F Peruani¹, G Solovey, I M Irurzun

¹Departamento de Fisica, Juan José Giambiagi, FCEyN, UBA, Buenos Aires, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 26, 2005

Summary

This study models dielectric breakdown in composite materials, revealing patterns influenced by conducting particle distribution. Fractal dimensions characterize these patterns, approaching percolation cluster dimensions near the percolation limit.

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Area of Science:

Materials Science
Electrical Engineering
Physics

Background:

Dielectric breakdown in composite materials is a critical failure mechanism.
Existing models often simplify the complex behavior of conductor-loaded composites.
Understanding breakdown patterns is essential for material design and reliability.

Purpose of the Study:

To generalize dielectric breakdown models for conductor-loaded composites.
To investigate the influence of conducting particle properties on breakdown patterns.
To characterize breakdown patterns using fractal dimension and Weibull distribution.

Main Methods:

Developed a generalized dielectric breakdown model.
Simulated breakdown propagation considering electrical properties and particle size.

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Analyzed patterns as a function of conducting particle fraction (p).

Characterized patterns using fractal dimension (D) and Weibull distribution parameters.

Main Results:

Dielectric breakdown patterns were successfully modeled in conductor-loaded composites.
Fractal dimension (D) and Weibull parameters effectively characterized breakdown patterns.
A correlation was observed between fractal dimension and the fraction of conducting particles (p).

Conclusions:

The generalized model accurately describes dielectric breakdown in these complex materials.
Fractal geometry provides valuable insights into the nature of electrical trees.
The study highlights the significance of the percolation limit in determining breakdown behavior.