|
This article is cited in 1 scientific paper (total in 1 paper)
Differentical equations, dynamical systems and optimal control
A viscoplastic contact problem with friction and adhesion
Abderrezak Kasri Département de Mathématiques, Faculté des sciences, Université 20 Août 1955 - Skikda, B.P.26 Route El-Hadaiek Skikda-Algérie
Abstract:
The aim of this paper is to present a new result in the study of a contact problem between a viscoplastic body and an obstacle, the so-called foundation. The process is supposed to be quasistatic and the contact is modelled with a version of Coulomb's law of dry friction, normal compliance and an ordinary differential equation which describes the adhesion effect. We derive a variational formulation for the model and under smallness assumption, we establish the existence of a weak solution to the problem. The proof is based on the Rothe time-discretization method, the Banach fixed point theorem and arguments of monotonicity, compactness and lower semicontinuity.
Keywords:
viscoplastic materials, adhesion, quasistatic process, Coulomb's law of dry friction, normal compliance, Rothe method, lower semicontinuity, the Banach fixed point theorem, variational inequalities.
Received October 31, 2019, published April 16, 2020
Citation:
Abderrezak Kasri, “A viscoplastic contact problem with friction and adhesion”, Sib. Èlektron. Mat. Izv., 17 (2020), 540–565
Linking options:
https://www.mathnet.ru/eng/semr1230 https://www.mathnet.ru/eng/semr/v17/p540
|
Statistics & downloads: |
Abstract page: | 272 | Full-text PDF : | 133 | References: | 28 |
|