Repository: Freie Universit├Ąt Berlin, Math Department

Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction

Pipping, E. (2019) Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction. ZAMM - Journal of Applied Mathematics and Mechanics . ISSN 1521-4001 (online)

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Official URL: https://dx.doi.org/10.1002/zamm.201800263

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.

Item Type:Article
Additional Information:SFB 1114 Preprint in arXiv:1703.04289
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2069
Deposited By: Silvia Hoemke
Deposited On:19 Apr 2017 14:45
Last Modified:23 Nov 2020 11:19

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