Kuhn, Charlotte ; Müller, Ralf (2010)
A continuum phase field model for fracture.
In: Engineering Fracture Mechanics, 77 (18)
doi: 10.1016/j.engfracmech.2010.08.009
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
A phase field model based on a regularized version of the variational formulation of brittle fracture is introduced. The influences of the regularization parameter that controls the interface width between broken and undamaged material and of the mobility constant of the evolution equation are studied in finite element simulations. A generalized Eshelby tensor is derived and analyzed for mode I loading in order to evaluate the energy release rate of the diffuse phase field cracks. The numerical implementation is performed with finite elements and an implicit time integration scheme. The configurational forces are computed in a postprocessing step after the coupled problem of mechanical balance equations and the evolution equation is solved. Some of the numerical results are compared to analytical results from classical Griffith theory.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2010 |
| Autor(en): | Kuhn, Charlotte ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | A continuum phase field model for fracture |
| Sprache: | Englisch |
| Publikationsjahr: | 10 August 2010 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Engineering Fracture Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 77 |
| (Heft-)Nummer: | 18 |
| DOI: | 10.1016/j.engfracmech.2010.08.009 |
| URL / URN: | https://linkinghub.elsevier.com/retrieve/pii/S00137944100036... |
| Kurzbeschreibung (Abstract): | A phase field model based on a regularized version of the variational formulation of brittle fracture is introduced. The influences of the regularization parameter that controls the interface width between broken and undamaged material and of the mobility constant of the evolution equation are studied in finite element simulations. A generalized Eshelby tensor is derived and analyzed for mode I loading in order to evaluate the energy release rate of the diffuse phase field cracks. The numerical implementation is performed with finite elements and an implicit time integration scheme. The configurational forces are computed in a postprocessing step after the coupled problem of mechanical balance equations and the evolution equation is solved. Some of the numerical results are compared to analytical results from classical Griffith theory. |
| 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 14:01 |
| Letzte Änderung: | 04 Mai 2022 14:01 |
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