A convergence result and numerical study for a nonlinear piezoelectric material in a frictional contact process with a conductive foundation.

DOI10.21136/AM.2020.0195-19MaRDI QIDQ2662452

El-Hassan Benkhira, Youssef Mandyly, Rachid Fakhar

Publication date: 13 April 2021

Published in: Applications of Mathematics (Search for Journal in Brave)

zbMATH Keywords

piezoelectric bodyiteration methodCoulomb's friction lawaugmented Lagrangiannonlinear elastic constitutive Hencky's lawnormal compliance contact conditionUzawa block relaxation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Simulation of dynamical systems (37M05) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (2)

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

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• Solvability of a dynamic contact problem between a piezoelectric body and a conductive foundation
• A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
• 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 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

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