Analysis and numerical approach for a nonlinear contact problem with non-local friction in piezoelectricity

DOI10.1007/s00707-021-03057-7zbMath1480.35250OpenAlexW3198907143MaRDI QIDQ823901

El-Hassan Benkhira, Youssef Mandyly, Rachid Fakhar

Publication date: 16 December 2021

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-021-03057-7

zbMATH Keywords

piezoelectric bodyfrictional contact problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Variational inequalities (49J40) Finite element methods applied to problems in solid mechanics (74S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Numerical treatment of a static thermo-electro-elastic contact problem with friction ⋮ Analysis and Numerical Approach of a Coupled Thermo-Electro-Mechanical System for Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction

Cites Work

• Unnamed Item
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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Analysis of a quasistatic contact problem for piezoelectric materials
• Uzawa block relaxation method for the unilateral contact problem
• Existence results for unilateral contact problem with friction of thermo-electro-elasticity
• A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
• Numerical analysis of two frictionless elastic-piezoelectric contact problems
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• A Decomposition Method for a Unilateral Contact Problem with Tresca Friction Arising in Electro-elastostatics
• Analysis of a piezoelectric contact problem with subdifferential boundary condition
• Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricity
• Weak solvability of a piezoelectric contact problem
• Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem
• Analysis and Numerical Approximation of a Contact Problem Involving Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction Law