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Phase Field Approximation of Dynamic Brittle Fracture

Schlüter, Alexander ; Kuhn, Charlotte ; Müller, Ralf (2014)
Phase Field Approximation of Dynamic Brittle Fracture.
In: PAMM, 14 (1)
doi: 10.1002/pamm.201410059
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

The numerical assessment of fracture has gained importance in fields like the safety analysis of technical structures or the hydraulic fracturing process. The modelling technique discussed in this work is the phase field method which introduces an additional scalar field. The smooth phase field distinguishes broken from undamaged material and thus describes cracks in a continuum. The model consists of two coupled partial differential equations - the equation of motion including the constitutive behaviour of the material and a phase field evolution equation. The crack growth follows implicitly from the solution of this system of PDEs. The numerical solution with finite elements can be accelerated with an algorithm that performs computationally extensive tasks on a graphic processing unit (GPU). A numerical example illustrates the capability of the model to reproduce realistic features of dynamic brittle fracture. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

Typ des Eintrags: Artikel
Erschienen: 2014
Autor(en): Schlüter, Alexander ; Kuhn, Charlotte ; Müller, Ralf
Art des Eintrags: Bibliographie
Titel: Phase Field Approximation of Dynamic Brittle Fracture
Sprache: Englisch
Publikationsjahr: 22 Dezember 2014
Verlag: Wiley
Titel der Zeitschrift, Zeitung oder Schriftenreihe: PAMM
Jahrgang/Volume einer Zeitschrift: 14
(Heft-)Nummer: 1
DOI: 10.1002/pamm.201410059
URL / URN: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2014100...
Kurzbeschreibung (Abstract):

The numerical assessment of fracture has gained importance in fields like the safety analysis of technical structures or the hydraulic fracturing process. The modelling technique discussed in this work is the phase field method which introduces an additional scalar field. The smooth phase field distinguishes broken from undamaged material and thus describes cracks in a continuum. The model consists of two coupled partial differential equations - the equation of motion including the constitutive behaviour of the material and a phase field evolution equation. The crack growth follows implicitly from the solution of this system of PDEs. The numerical solution with finite elements can be accelerated with an algorithm that performs computationally extensive tasks on a graphic processing unit (GPU). A numerical example illustrates the capability of the model to reproduce realistic features of dynamic brittle fracture. (© 2014 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 09:30
Letzte Änderung: 04 Mai 2022 09:30
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