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Axisymmetric Charge Distributions on an Elastic Dielectric Half Space

K. Chowdhury
Journal / Anthology

Transactions of the CSME
Year: 1998
Volume: 22
Issue: 4B
Page range: 485-499

The solution of the axisymmetric boundary value problem of an isotropic elastic dielectric half space subjected to charge distribution on its rigid polarization free surface is constructed by Hankel transforms. For the problem of an electric point dipole applied at origin, exact expressions for the components of displacement and polarization vectors and the potential fields are obtained in terms of Bessel function and fundamental solutions 1/R and e^-mR/R, R being the distance from the source point. The electric field is determined by inside and outside the polarized region. In the particular case of a continuous electric charge distribution with density of the form 1/(r^+h^2)^1/2, the mechanical and electric stresses on the surface of the semi-space are derived. The Mathematica software is used to present the numerical results on graphs depicting the variation of surface stresses for the particular charge distributions.

*Science > Physics > Electromagnetism