Kuhn, Charlotte ; Müller, Ralf (2014)
Simulation of size effects by a phase field model for fracture.
In: Theoretical and Applied Mechanics Letters, 4 (5)
doi: 10.1063/2.1405108
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In phase field fracture models the value of the order parameter distinguishes between broken and undamaged material. At crack faces the order parameter interpolates smoothly between these two states of the material, which can be regarded as phases. The crack evolution follows implicitly from the time integration of an evolution equation of the order parameter, which is coupled to the mechanical field equations. Among other phenomena phase field fracture models are able to reproduce crack nucleation in initially sound materials. For a 1D setting it has been shown that crack nucleation is triggered by the loss of stability of the unfractured, spatially homogeneous solution, and that the stability point depends on the size of the considered structure. This work numerically investigates to which extend size effects are reproduced by the 2D phase field model. Exemplarily, a finite element study of the hole size effect is performed and the simulation results are compared to experimental data.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2014 |
| Autor(en): | Kuhn, Charlotte ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Simulation of size effects by a phase field model for fracture |
| Sprache: | Englisch |
| Publikationsjahr: | Januar 2014 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Theoretical and Applied Mechanics Letters |
| Jahrgang/Volume einer Zeitschrift: | 4 |
| (Heft-)Nummer: | 5 |
| DOI: | 10.1063/2.1405108 |
| URL / URN: | https://www.sciencedirect.com/science/article/pii/S209503491... |
| Kurzbeschreibung (Abstract): | In phase field fracture models the value of the order parameter distinguishes between broken and undamaged material. At crack faces the order parameter interpolates smoothly between these two states of the material, which can be regarded as phases. The crack evolution follows implicitly from the time integration of an evolution equation of the order parameter, which is coupled to the mechanical field equations. Among other phenomena phase field fracture models are able to reproduce crack nucleation in initially sound materials. For a 1D setting it has been shown that crack nucleation is triggered by the loss of stability of the unfractured, spatially homogeneous solution, and that the stability point depends on the size of the considered structure. This work numerically investigates to which extend size effects are reproduced by the 2D phase field model. Exemplarily, a finite element study of the hole size effect is performed and the simulation results are compared to experimental data. |
| Freie Schlagworte: | Finite element method, fracture mechanics, phase field model, size effects, stability |
| 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 13:10 |
| Letzte Änderung: | 04 Mai 2022 13:10 |
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