AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Issue no. 4 / 2022 | |||||||
Article: |
ANALYSIS OF QUASISTATIC VISCOELASTIC VISCOPLASTIC PIEZOELECTRIC CONTACT PROBLEM WITH FRICTION AND ADHESION. Authors: NADHIR CHOUGUI. |
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Abstract: DOI: 10.24193/subbmath.2022.4.15 Published Online: 2022-12-02 Published Print: 2022-12-30 pp. 871-889 VIEW PDF FULL PDF In this paper we study the process of bilateral contact with adhesion and friction between a piezoelectric body and an insulator obstacle, the so-called foundation. The material’s behavior is assumed to be electro-viscoelastic-viscoplastic; the process is quasistatic, the contact is modeled by a general non-local friction law with adhesion. The adhesion process is modeled by a bonding field on the contact surface. We derive a variational formulation for the problem and then, under a smallness assumption on the coefficient of friction, we prove the existence of a unique weak solution to the model. The proofs are based on a general results on elliptic variational inequalities and fixed point arguments. Mathematics Subject Classification (2010): 74M10, 74M15, 74F05, 74R05, 74C10. Keywords: Viscoelastic, viscoplastic, piezoelectric, bilateral contact, non local Coulomb friction, adhesion, quasi-variational inequality, weak solution, fixed point. |
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