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
2023-04-21T07:46:37Z
dc.date.available
2023-04-21T07:46:37Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/39043
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-38759
dc.description.abstract
The notion of dynamic fracture with continuum‐kinematics‐based peridynamics is presented in this work. A geometrically precise version of peridynamics called continuum‐kinematics‐based peridynamics adds surface‐ or volume‐based interactions to the traditional peridynamic bonds, accurately capturing the finite deformation kinematics. The point families produced from the horizon of the material points are used to construct the surfaces and volumes taken into account for these non‐local interactions.
In continuum kinematics‐based peridynamics, the traditional bond‐stretch damage technique is insufficient for fracture. Due to the loss of strength in the internal force densities of the material points, it is now extended to the surface‐ and volume‐based interactions by new failure factors. Numerical examples demonstrate that the proposed approach effectively manages crack propagation, impact damage, and spontaneous crack initiation under dynamic loading circumstances with large deformations. When the results are compared to phase‐field calculations, there is a remarkable agreement concerning the damage patterns.
en
dc.format.extent
7 Seiten
dc.rights
This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made.
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
dynamic fracture
en
dc.subject
continuum-kinematics-based peridynamics
en
dc.subject
phase-field approach
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Dynamic fracture with a continuum‐kinematics‐based peridynamic and a phase‐field approach
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
e202200217
dcterms.bibliographicCitation.doi
10.1002/pamm.202200217
dcterms.bibliographicCitation.journaltitle
PAMM
dcterms.bibliographicCitation.number
1
dcterms.bibliographicCitation.volume
22
dcterms.bibliographicCitation.url
https://doi.org/10.1002/pamm.202200217
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1617-7061
refubium.resourceType.provider
DeepGreen