1 research outputs found
Modelling and well-posedness of evolutionary differential variational-hemivariational inequalities
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 continuity of the flow map with respect to the initial
data. Under the general framework, we consider two new applications for
modelling of frictional contact with viscoelastic materials, where the friction
coefficient depends on an external state variable and the slip
rate . In the first application, we consider Coulomb friction
with normal compliance, and in the second, normal damped response. In both
cases, we present a new first-order approximation of the Dieterich
rate-and-state friction law