Model and analysis for quasistatic frictional contact of a 2D elastic bar
Date
2018-05-08
Authors
Sofonea, Mircea
Shillor, Meir
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article constructs and analyzes a mathematical model that describes the quasistatic evolution of a 2D elastic bar that may come in frictional contact with a deformable foundation. The model and the underlying mechanical assumptions are described in detail and so are the assumptions on the problem data. The variational formulation of the problem is derived and, since friction is taken into account, it is in the form of an evolutionary variational inequality for the displacement field. Existence of solutions for the problem is established by using arguments of evolutionary variational inequalities.
Description
Keywords
2D bar, Frictional contact, Normal compliance, Weak solution, Variational inequality
Citation
Sofonea, M., & Shillor, M. (2018). Model and analysis for quasistatic frictional contact of a 2D elastic bar. <i>Electronic Journal of Differential Equations, 2018</i>(107), pp. 1-19.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.