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A contact problem for electro‐elastic materials
Author(s) -
Hüeber S.,
Matei A.,
Wohlmuth B.
Publication year - 2013
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200235
Subject(s) - uniqueness , stability (learning theory) , point (geometry) , electrical conductor , mathematical analysis , cauchy distribution , body contact , mathematics , foundation (evidence) , mechanics , materials science , physics , geometry , computer science , composite material , machine learning , optoelectronics , archaeology , history
We analyze the frictionless unilateral contact between an electro‐elastic body and a rigid electrically conductive foundation. On the potential contact zone, we use the Signorini condition with non‐zero gap and an electric contact condition with a conductivity depending on the Cauchy vector. We provide a weak variationally consistent formulation and show existence, uniqueness and stability of the solution. Our analysis is based on fixed point techniques for weakly sequentially continuous maps. We conclude by a numerical example that illustrates the applicability of the model.