Open AccessSurface electrostatics: theory and computations
Author(s) -
George Chatzigeorgiou,
Ali Javili,
Paul Steinmann
Publication year - 2014
Publication title -
proceedings of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
eISSN - 1471-2946
pISSN - 1364-5021
DOI - 10.1098/rspa.2013.0628
Subject(s) - electrostatics , electric displacement field , electric field , finite element method , permittivity , constitutive equation , boundary value problem , surface stress , classical mechanics , materials science , surface (topology) , stress (linguistics) , polarization density , surface charge , polarization (electrochemistry) , computation , mechanics , physics , dielectric , mathematics , geometry , chemistry , thermodynamics , philosophy , linguistics , magnetization , quantum mechanics , magnetic field , optoelectronics , deflection (physics) , algorithm
International audienceThe objective of this work is to study the electrostatic response of materials accounting for boundary surfaces with their own (electrostatic) constitutive behaviour. The electric response of materials with (electrostatic) energetic boundary surfaces (surfaces that possess material properties and constitutive structures different from those of the bulk) is formulated in a consistent manner using a variational framework. The forces and moments that appear due to bulk and surface electric fields are also expressed in a consistent manner. The theory is accompanied by numerical examples on porous materials using the finite-element method, where the influence of the surface electric permittivity on the electric displacement, the polarization stress and the Maxwell stress is examined
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