dc.contributor.author
Pipping, Elias
dc.date.accessioned
2019-09-02T11:05:18Z
dc.date.available
2019-09-02T11:05:18Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/25393
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-4097
dc.description.abstract
We establish existence of global 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 describes friction laws where the friction is rate‐dependent and depends on an additional internal state variable defined on the contact surface. Our mathematical conditions rule out certain slip laws, but do cover the ageing law, and thus at least one of the rate‐and‐state friction laws commonly used in the geoscience.
en
dc.format.extent
10 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by-nc/4.0/
dc.subject
quasivariational evolutionary inequality
en
dc.subject
rate‐and‐state friction
en
dc.subject
surface friction
en
dc.subject
viscoelasticity
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::519 Wahrscheinlichkeiten, angewandte Mathematik
dc.title
Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
e201800263
dcterms.bibliographicCitation.doi
10.1002/zamm.201800263
dcterms.bibliographicCitation.journaltitle
ZAMM : journal of applied mathematics and mechanics
dcterms.bibliographicCitation.url
https://doi.org/10.1002/zamm.201800263
refubium.affiliation
Mathematik und Informatik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1521-4001
refubium.resourceType.provider
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