Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction
Analysis of PDEs
2017-03-14 v1
Abstract
We establish existence of long-time solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate-and-state friction. The term rate-and-state friction is used here to refer to a set of functions and equations satisfying conditions which rule out the slip law but do cover the ageing law, and thus at least one of the rate-and-state friction laws commonly used in the geosciences.
Keywords
Cite
@article{arxiv.1703.04289,
title = {Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction},
author = {Elias Pipping},
journal= {arXiv preprint arXiv:1703.04289},
year = {2017}
}