Affiliation:
1. Center for Modeling of Coupled Subsurface Dynamics, Department of Mathematics, University of Bergen, Bergen, Norway
Abstract
In this paper, we study the well-posedness of a class of evolutionary variational–hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative approximation scheme showing that the problem has a unique mild solution. In addition, we established the continuity of the flow map with respect to the initial data. Under the general framework, we consider two new applications for modeling of frictional contact for viscoelastic materials. In the first application, we consider Coulomb’s friction with normal compliance, and in the second, normal damped response. The structure of the friction coefficient [Formula: see text] is new with motivation from geophysical applications in earth sciences with dependence on an external state variable [Formula: see text] and the slip rate [Formula: see text].
Funder
VISTA program
Equinor
The Norwegian Academy of Science and Letters
Subject
Mechanics of Materials,General Materials Science,General Mathematics