Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1142.74032
Migórski, Stanisław; Ochal, Anna
Dynamic bilateral contact problem for viscoelastic piezoelectric materials with adhesion. (English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 2, A, 495-509 (2008). ISSN 0362-546X

Summary: We examine a model of dynamic viscoelastic adhesive contact between a piezoelectric body and deformable foundation. The model consists of a system of hemivariational inequalities of hyperbolic type for displacement, a time-dependent elliptic equation for electric potential and an ordinary differential equation for adhesion field. In the hemivariational inequalities the friction forces are derived from a nonconvex superpotential through the generalized Clarke subdifferential. The existence of a weak solution is proved by embedding the problem into a class of second-order evolution inclusions and by applying a surjectivity result for multivalued operators.

MSC 2000:: *74M15 Contact
74F15 Electromagnetic effects
74H20 Existence of solutions

Keywords: hemivariational inequality; Clarke subdifferential; existence; weak solution

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]