An electro-viscoelastic frictional contact problem with damage

Source: Applicable Analysis, Volume 86, Number 4, April 2007 , pp. 503-518(16)

Publisher: Taylor and Francis Ltd

Abstract:

We consider a quasistatic frictional contact problem between a piezoelectric body and a foundation. The contact is modeled with normal compliance and friction is modeled with a general version of Coulomb's law of dry friction; the process is quasistatic and the material's behavior is described by an electro-viscoelastic constitutive law with damage. We derive a variational formulation for the model which is in the form of a system involving the displacement field, the electric potential field, and the damage field. Then we provide the existence of a unique weak solution to the model. The proof is based on arguments of evolutionary variational inequalities and fixed point.

Keywords: AMS Subject Classifications: 74M15; 74M10; 74F15; 74G25; 49J40

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810701286304

Publication date: 2007-04-01

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