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References (12)
-
Jiangfeng Han, S. Migórski (2016)
A quasistatic viscoelastic frictional contact problem with multivalued normal compliance, unilateral constraint and material damageJournal of Mathematical Analysis and Applications, 443
-
M. Frémond, B. Nedjar (1996)
Damage, gradient of damage and principle of virtual powerInternational Journal of Solids and Structures, 33
-
Yunxiang Li, S. Migórski, Jiangfeng Han (2016)
A quasistatic frictional contact problem with damage involving viscoelastic materials with short memoryMathematics and Mechanics of Solids, 21
-
M. Frémond, B. Nedjar (1995)
Damage in concrete: the unilateral phenomenonNuclear Engineering and Design, 156
-
R. Batra, Jia-shi Yang (1995)
Saint-Venant's principle in linear piezoelectricityJournal of Elasticity, 38
-
Z. Lerguet, M. Shillor, M. Sofonea (2007)
A frictional contact problem for an electro-viscoelastic body., 2007
-
J. Necas, I. Hlavácek (1981)
Mathematical Theory of Elastic and Elasto Plastic Bodies: An Introduction -
S. Migórski, A. Ochal, M. Sofonea (2009)
MODELING AND ANALYSIS OF AN ANTIPLANE PIEZOELECTRIC CONTACT PROBLEMMathematical Models and Methods in Applied Sciences, 19
-
A. Kasri, A. Touzaline (2019)
Analysis of a dynamic contact problem with friction, damage and adhesionApplicationes Mathematicae
-
H. Benaissa, E. Essoufi, R. Fakhar (2016)
Analysis of a Signorini problem with nonlocal friction in thermo-piezoelectricityGlasnik Matematicki, 51
-
M. Sofonea, Kamran Kazmi, M. Barboteu, W. Han (2012)
Analysis and numerical solution of a piezoelectric frictional contact problemApplied Mathematical Modelling, 36
-
H. Brezis (1968)
Équations et inéquations non linéaires dans les espaces vectoriels en dualitéAnnales de l'Institut Fourier, 18
- Copyright
- © 2021 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1869-6082
- eISSN
- 1869-6082
- DOI
- 10.1515/jaa-2020-2034
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe aim of this paper is to study a quasistatic contact problem between anelectro-elastic viscoplastic body with damage and an electrically conductivefoundation. The contact is modelled with an electrical condition, normalcompliance and the associated version of Coulomb’s law of dry friction inwhich slip dependent friction is included. We derive a variationalformulation for the model and, under a smallness assumption, we prove theexistence and uniqueness of a weak solution.
Journal
Journal of Applied Analysis – de Gruyter
Published: Jun 1, 2021
Keywords: Electroelastic viscoplastic material; damage; slip-dependent friction; Coulomb’s law; normal compliance; variational inequalities; 74C10; 49J40; 74A55; 74H20; 74M15