A mixed variational approach for modeling frictional contact problems with normal compliance in electro-elasticity

In this paper, we consider the frictional contact model between a piezoelectric body and an electrically conductive foundation. This contact is described by a reduced normal compliance law. To address this problem, we establish a mixed variational formulation and prove the existence of a unique solu...

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Bibliographic Details
Published in:Acta mechanica Vol. 235; no. 11; pp. 6775 - 6790
Main Authors: Benkhira, El Hassan, El Yamouni, Ouiame, Fakhar, Rachid, Mandyly, Youssef
Format: Journal Article
Language:English
Published: Vienna Springer Vienna 01.11.2024
Springer
Springer Nature B.V
Subjects:
Algorithms
Approximation
Classical and Continuum Physics
Compliance
Control
Dynamical Systems
Electric contacts
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Friction
Heat and Mass Transfer
Laboratories
Lagrange multiplier
Numerical analysis
Original Paper
Piezoelectricity
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Viscoelasticity
35J87
74C05
74S05
49J40
37M05
47J25
65N55
ISSN:0001-5970, 1619-6937
Online Access:Get full text
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Summary:In this paper, we consider the frictional contact model between a piezoelectric body and an electrically conductive foundation. This contact is described by a reduced normal compliance law. To address this problem, we establish a mixed variational formulation and prove the existence of a unique solution. Moreover, we present an efficient algorithm for approximating the weak solution for the contact problem, taking into account both friction and electrical contact conditions. We conclude with numerical examples that demonstrate the practicality of the model.
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ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-024-04070-2