A contact problem for electro‐elastic materials 1. Issue 10 (29th July 2013)

• Record Type: Journal Article
• Authors: Hüeber, S.; Matei, A.; Wohlmuth, B.; Roubíček, Tomás
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 93:Issue 10/11(2013)
• Page Start: 789
• Page End: 800
• Publication Date: 2013-07-29
• Subjects: Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201200235
• Languages: English
• ISSNs: 0044-2267

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>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.</p> </abstract>