Novel Theoretical Self‐Consistent Mean‐Field Approach to Describe the Conductivity of Carbon Fiber Filled Thermoplastics—PART I—Theory | Zendy

Schubert Dirk W. | Zendy

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Novel Theoretical Self‐Consistent Mean‐Field Approach to Describe the Conductivity of Carbon Fiber Filled Thermoplastics—PART I—Theory

Author(s) -

Schubert Dirk W.

Publication year - 2018

Publication title -

macromolecular theory and simulations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.37

H-Index - 56

eISSN - 1521-3919

pISSN - 1022-1344

DOI - 10.1002/mats.201700104

Subject(s) - volume fraction , materials science , percolation (cognitive psychology) , fiber , composite number , percolation theory , composite material , electrical resistivity and conductivity , exponent , percolation threshold , conductivity , mean field theory , nonlinear system , statistical physics , mathematical analysis , thermodynamics , mathematics , physics , condensed matter physics , linguistics , philosophy , quantum mechanics , neuroscience , biology

A novel theoretical approach is shown which yields a nonlinear differential equation for the resistivity of carbon fiber filled composites below the percolation threshold as a function of the volume fraction of the filler and the fiber orientation. The solution of the equation is given analytically and a particular value for the exponent predicted. The theoretical concept can be transferred to other composite properties.

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