Abstract

A theoretical method for studying the behavior of magnetic field intensity inside a rectangular plate with orthotropic anisotropic conductivity was presented. Firstly, based on Maxwell’s equations, the mathematical model for the magnetic field in the plate was established. Then, the governing equation for determining the magnetic field intensity was solved by double Fourier sinusoidal transformation. Furthermore, taking graphite rectangular plate as an example, the magnetic field intensity inside the plate was simulated and the behavior of the magnetic field was introduced in detail. Lastly, the effects of the plate’s size, the external excitation frequency and the conductivity of graphite on the internal magnetic field intensity were analyzed.

Highlights

  • At present, the study of magnetic field in material is mostly based on the fact that the distribution of material’s conductivity is isotropic, that is, the conductivity is constant

  • One was the study of thin-layer material such as thin film with anisotropic conductivity,3,4 semiconductor monolayer heterostructure5 and two-dimensional atomic crystal material;6,7 two, the research in medical fields such as biomedical imaging and brain tissue;8–10 and another was to explore the significance of electromagnetic exploration by studying the anisotropic crustal medium

  • We investigated the behavior of the magnetic field intensity inside a rectangular plate with orthotropic conductivity aiming at preparing for the study on the material’s eddy current

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Summary

INTRODUCTION

The study of magnetic field in material is mostly based on the fact that the distribution of material’s conductivity is isotropic, that is, the conductivity is constant. The anisotropy of conductivity is objective, the conductivity of the earth medium is anisotropic and the conductivity of most organism tissues is anisotropic.. One was the study of thin-layer material such as thin film with anisotropic conductivity, semiconductor monolayer heterostructure and two-dimensional atomic crystal material; two, the research in medical fields such as biomedical imaging and brain tissue; and another was to explore the significance of electromagnetic exploration by studying the anisotropic crustal medium.. We investigated the behavior of the magnetic field intensity inside a rectangular plate with orthotropic conductivity aiming at preparing for the study on the material’s eddy current

Establishment of the governing equation
Solution of the governing equation
RESULTS AND DISCUSSIONS
Magnetic field intensity in a small rectangular plate
Magnetic field intensity in a large rectangular plate
The effect of the graphite plate’s size
The effect of the conductivity
CONCLUSIONS
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