dc.contributor.author
Friebertshäuser, Kai
dc.contributor.author
Thomas, Marita
dc.contributor.author
Tornquist, Sven
dc.contributor.author
Weinberg, Kerstin
dc.contributor.author
Wieners, Christian
dc.date.accessioned
2023-04-12T08:17:44Z
dc.date.available
2023-04-12T08:17:44Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/38828
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-38544
dc.description.abstract
In this contribution we present analytical results on a model for dynamic fracture in viscoelastic materials at small strains that have been obtained in full depth in [1]. In the model, the sharp crack interface is regularized with a phase-field approximation, and for the phase-field variable a viscous evolution with a quadratic dissipation potential is employed. A non-smooth penalization prevents material healing. The viscoelastic momentum balance is formulated as a first order system and coupled in a nonlinear way to the non-smooth evolution equation of the phase field. We give a full discretization in time and space using a discontinuous Galerkin method for the first-order system. We discuss the existence of discrete solutions and, with the step size in space and time tending to zero, their convergence to a suitable notion of weak solution of the system. Eventually, we provide a numerical benchmark and compare it with simulation results found in [2].
en
dc.format.extent
6 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Dynamic Phase-Field Fracture
en
dc.subject
Viscoelastic Materials
en
dc.subject
First-Order Formulation
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Dynamic Phase-Field Fracture in Viscoelastic Materials using a First-Order Formulation
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
e202200249
dcterms.bibliographicCitation.doi
10.1002/pamm.202200249
dcterms.bibliographicCitation.journaltitle
Proceedings in Applied Mathematics & Mechanics
dcterms.bibliographicCitation.number
1
dcterms.bibliographicCitation.volume
22
dcterms.bibliographicCitation.url
https://doi.org/10.1002/pamm.202200249
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
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refubium.funding
DEAL Wiley
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1617-7061