Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 297
Contact with damped response of an electro-viscoelastic rod
Lahcen Oumouacha, El-Hassan Benkhira, Rachid Fakhar, Youssef Mandyly
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2257
April 15, 2257

Abstract: We consider a mathematical model which describes the quasistatic contact of electroviscoelastic rod with an obstacle. We use a modified Kelvin-Voigt viscoelastic constitutive law in which the elasticity operator is nonlinear and locally Lipschitz continuous, taking into the account the piezoelectric effect of the material. We model the contact with a general damped response condition. We establish a local existence and uniqueness result of the The solution by using arguments of time-dependant non-linear equations and Schauder fixed point theorem and obtain a Global existence ...