Frictional contact of an anisotropic piezoelectric plate

• Author(s): Figueiredo, Isabel N. ; Stadler, Georg
• Date: 2007
• Persistent ID: http://hdl.handle.net/10316/11298
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Contact; Friction; Asymptotic analysis; Anisotropic material; Piezoelectricity; Plate
• Document Type: Preprint
• Language: English

Description

The purpose of this paper is to derive and study a new asymptotic model for the equilibrium state of a thin anisotropic piezoelectric plate in frictional contact with a rigid obstacle. In the asymptotic process, the thickness of the piezoelectric plate is driven to zero and the convergence of the unknowns is studied. This leads to two-dimensional Kirchhoff-Love plate equations, in which mechanical displacement and electric potential are partly decoupled. Based on this model numerical examples are presented that illustrate the mutual interaction between the mechanical displacement and the electric potential. We observe that, compared to purely elastic materials, piezoelectric bodies yield a significantly different contact behavior. Project ”Mathematical Analysis of Piezoelectric Problems” (POCTI/MAT/59502/2004, Fundação para a Ciência e a Tecnologia, Portugal