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    Surface electrostatics: theory and computations

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    Type
    Article
    Authors
    Chatzigeorgiou, G.
    Javili, A.
    Steinmann, P.
    Date
    2014-02-05
    Online Publication Date
    2014-02-05
    Print Publication Date
    2014-02-05
    Permanent link to this record
    http://hdl.handle.net/10754/599809
    
    Metadata
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    Abstract
    The 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.
    Citation
    Chatzigeorgiou G, Javili A, Steinmann P (2014) Surface electrostatics: theory and computations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470: 20130628–20130628. Available: http://dx.doi.org/10.1098/rspa.2013.0628.
    Sponsors
    The support of this work by the ERC Advanced Grant MOCOPOLY is gratefully acknowledged. The first author would like to acknowledge the support by the King Abdullah University of Science and Technology (KAUST) project NumPor.
    Publisher
    The Royal Society
    Journal
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    DOI
    10.1098/rspa.2013.0628
    PubMed ID
    24711720
    PubMed Central ID
    PMC3928956
    ae974a485f413a2113503eed53cd6c53
    10.1098/rspa.2013.0628
    Scopus Count
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