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A Monolithic Solution Scheme for a Phase Field Model of Ductile Fracture

Noll, Timo ; Kuhn, Charlotte ; Müller, Ralf (2017)
A Monolithic Solution Scheme for a Phase Field Model of Ductile Fracture.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 17 (1)
doi: 10.1002/pamm.201710023
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

A phase field model for elastic-plastic fracture is presented, which is based on an energy functional composed of an elastic energy contribution, a plastic dissipation potential and a fracture energy. The coupling of the mechanical fields with the fracture field is modeled by a degradation function. Due to the proposed coupling it is possible to solve the global system of differential equations in a monolithic iterative solution scheme. Numerical simulations are presented, where the choice of the degradation function is investigated and a staggered is compared to monolithic iteration scheme. (© 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Typ des Eintrags: Artikel
Erschienen: 2017
Autor(en): Noll, Timo ; Kuhn, Charlotte ; Müller, Ralf
Art des Eintrags: Bibliographie
Titel: A Monolithic Solution Scheme for a Phase Field Model of Ductile Fracture
Sprache: Englisch
Publikationsjahr: 2017
Verlag: Wiley
Titel der Zeitschrift, Zeitung oder Schriftenreihe: PAMM — Proceedings in Applied Mathematics and Mechanics
Jahrgang/Volume einer Zeitschrift: 17
(Heft-)Nummer: 1
DOI: 10.1002/pamm.201710023
URL / URN: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2017100...
Kurzbeschreibung (Abstract):

A phase field model for elastic-plastic fracture is presented, which is based on an energy functional composed of an elastic energy contribution, a plastic dissipation potential and a fracture energy. The coupling of the mechanical fields with the fracture field is modeled by a degradation function. Due to the proposed coupling it is possible to solve the global system of differential equations in a monolithic iterative solution scheme. Numerical simulations are presented, where the choice of the degradation function is investigated and a staggered is compared to monolithic iteration scheme. (© 2017 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 06:05
Letzte Änderung: 04 Mai 2022 06:05
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