Noll, Timo ; Kuhn, Charlotte ; Olesch, Darius ; Müller, Ralf (2020)
3D phase field simulations of ductile fracture.
In: GAMM-Mitteilungen, 43 (2)
doi: 10.1002/gamm.202000008
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this contribution a phase field model for ductile fracture with linear isotropic hardening is presented. An energy functional consisting of an elastic energy, a plastic dissipation potential and a Griffith type fracture energy constitutes the model. The application of an unaltered radial return algorithm on element level is possible due to the choice of an appropriate coupling between the nodal degrees of freedom, namely the displacement and the crack/fracture fields. The degradation function models the mentioned coupling by reducing the stiffness of the material and the plastic contribution of the energy density in broken material. Furthermore, to solve the global system of differential equations comprising the balance of linear momentum and the quasi-static Ginzburg-Landau type evolution equation, the application of a monolithic iterative solution scheme becomes feasible. The compact model is used to perform 3D simulations of fracture in tension. The computed plastic zones are compared to the dog-bone model that is used to derive validity criteria for KIC measurements.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2020 |
| Autor(en): | Noll, Timo ; Kuhn, Charlotte ; Olesch, Darius ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | 3D phase field simulations of ductile fracture |
| Sprache: | Englisch |
| Publikationsjahr: | 2020 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | GAMM-Mitteilungen |
| Jahrgang/Volume einer Zeitschrift: | 43 |
| (Heft-)Nummer: | 2 |
| DOI: | 10.1002/gamm.202000008 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.2020000... |
| Kurzbeschreibung (Abstract): | In this contribution a phase field model for ductile fracture with linear isotropic hardening is presented. An energy functional consisting of an elastic energy, a plastic dissipation potential and a Griffith type fracture energy constitutes the model. The application of an unaltered radial return algorithm on element level is possible due to the choice of an appropriate coupling between the nodal degrees of freedom, namely the displacement and the crack/fracture fields. The degradation function models the mentioned coupling by reducing the stiffness of the material and the plastic contribution of the energy density in broken material. Furthermore, to solve the global system of differential equations comprising the balance of linear momentum and the quasi-static Ginzburg-Landau type evolution equation, the application of a monolithic iterative solution scheme becomes feasible. The compact model is used to perform 3D simulations of fracture in tension. The computed plastic zones are compared to the dog-bone model that is used to derive validity criteria for KIC measurements. |
| Freie Schlagworte: | phase field model, dog-bone model, ductile fracture, fine element |
| Zusätzliche Informationen: | Artikel-ID: e202000008 |
| 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: | 03 Mai 2022 06:30 |
| Letzte Änderung: | 03 Mai 2022 06:30 |
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