Analysis of a quasistatic contact problem for piezoelectric materials

DOI10.1016/j.jmaa.2011.04.082zbMath1220.78016OpenAlexW2083180580MaRDI QIDQ549806

Anna Ochal, Mircea Sofonea, Stanislaw Migórski

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.082

zbMATH Keywords

weak solutionfrictional contactClarke subdifferentialpiezoelectricityelectro-viscoelastic materialquasistatic processhistory-dependent hemivariational inequality

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Variational methods applied to PDEs (35A15) Electromagnetic effects in solid mechanics (74F15) Electromagnetic theory (general) (78A25)

Related Items (12)

Analysis and numerical approach for a nonlinear contact problem with non-local friction in piezoelectricity ⋮ Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality ⋮ Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body ⋮ Electro-mechanical sliding frictional contact of a piezoelectric half-plane under a rigid conducting punch ⋮ Variational analysis of unilateral contact problem for thermo-piezoelectric materials with friction ⋮ Contact interaction of two rectangular plates made from different materials with an account of physical nonlinearity ⋮ Hemivariational inequalities modeling electro-elastic unilateral frictional contact problem ⋮ Variational and numerical analysis of a quasistatic thermo‐electro‐visco‐elastic frictional contact problem ⋮ A frictional contact problem involving piezoelectric materials with long memory ⋮ 3D BEM for orthotropic frictional contact of piezoelectric bodies ⋮ Numerical analysis of a piezoelectric bone remodelling problem ⋮ Unnamed Item

Cites Work

• Hemivariational inequality for a frictional contact problem in elasto-piezoelectricity
• Numerical analysis of a dynamic piezoelectric contact problem arising in viscoelasticity
• A dynamic frictional contact problem for piezoelectric materials
• On the convergence of solutions of multivalued parabolic equations and applications
• The unilateral frictionless contact of a piezoelectric body with a rigid support.
• An introduction to the theory of piezoelectricity.
• Saint-Venant's principle in linear piezoelectricity
• A unified approach to dynamic contact problems in viscoelasticity
• Variational analysis of fully coupled electro-elastic frictional contact problems
• Weak solvability of a piezoelectric contact problem
• Quasistatic viscoelastic contact with friction and wear diffusion
• Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction
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