Solvability of a dynamic contact problem between a piezoelectric body and a conductive foundation

DOI10.1016/j.amc.2009.09.045zbMath1381.74161OpenAlexW2003669827MaRDI QIDQ1049309

Mircea Sofonea, Mikäel Barboteu

Publication date: 8 January 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.045

zbMATH Keywords

weak solutionfinite element methodfixed pointfrictionless contactmonotone operatorpiezoelectric materialNewton methodpenalization methodnumerical simulationsnormal compliance

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Hemivariational inequality for a frictional contact problem in elasto-piezoelectricity
• Modeling and analysis of the unilateral contact of a piezoelectric body with a conductive support
• The unilateral frictionless contact of a piezoelectric body with a rigid support.
• Saint-Venant's principle in linear piezoelectricity
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Quasistatic viscoelastic contact with friction and wear diffusion
• An electro-viscoelastic frictional contact problem with damage
• Analysis and Approximation of Contact Problems with Adhesion or Damage
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