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On configurational forces in a dynamic phase field model for fracturing

Schlüter, Alexander ; Kuhn, Charlotte ; Müller, Ralf (2016)
On configurational forces in a dynamic phase field model for fracturing.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 16 (1)
doi: 10.1002/pamm.201610074
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Dynamic fracturing is an active field of research in which some phenomena like crack branching are only partly understood. The origin for most theoretical studies of fracturing - analytical as well as numerical investigations - are classical concepts of fracture mechanics such as Griffith's energy-based description. The same is true for phase field fracture models that represent cracks by means of an additional scalar field. The evolution of this field can be found from minimization of a regularized energy functional which corresponds to a generalized Griffith criterion. This work discusses configurational forces as a means to highlight the relation between fracture evolution in a phase field model and the classical fracture mechanical concepts. In contrast to other numerical tools that rely on configurational forces to model the crack propagation, the configurational forces serve a different purpose in a phase field model for fracture. Here, they are a result of a post-processing step that enhances the understanding of the simulated fracture problem. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Typ des Eintrags: Artikel
Erschienen: 2016
Autor(en): Schlüter, Alexander ; Kuhn, Charlotte ; Müller, Ralf
Art des Eintrags: Bibliographie
Titel: On configurational forces in a dynamic phase field model for fracturing
Sprache: Englisch
Publikationsjahr: 2016
Verlag: Wiley
Titel der Zeitschrift, Zeitung oder Schriftenreihe: PAMM — Proceedings in Applied Mathematics and Mechanics
Jahrgang/Volume einer Zeitschrift: 16
(Heft-)Nummer: 1
DOI: 10.1002/pamm.201610074
URL / URN: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2016100...
Kurzbeschreibung (Abstract):

Dynamic fracturing is an active field of research in which some phenomena like crack branching are only partly understood. The origin for most theoretical studies of fracturing - analytical as well as numerical investigations - are classical concepts of fracture mechanics such as Griffith's energy-based description. The same is true for phase field fracture models that represent cracks by means of an additional scalar field. The evolution of this field can be found from minimization of a regularized energy functional which corresponds to a generalized Griffith criterion. This work discusses configurational forces as a means to highlight the relation between fracture evolution in a phase field model and the classical fracture mechanical concepts. In contrast to other numerical tools that rely on configurational forces to model the crack propagation, the configurational forces serve a different purpose in a phase field model for fracture. Here, they are a result of a post-processing step that enhances the understanding of the simulated fracture problem. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Fachbereich(e)/-gebiet(e): 13 Fachbereich Bau- und Umweltingenieurwissenschaften
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik
13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik
Hinterlegungsdatum: 04 Mai 2022 05:24
Letzte Änderung: 04 Mai 2022 05:24
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