Kuhn, Charlotte ; Müller, Ralf (2012)
Interpretation of parameters in phase field models for fracture.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 12 (1)
doi: 10.1002/pamm.201210071
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Phase field fracture models typically feature a length parameter, which controls the width of the diffuse transition zone between broken and undamaged material. In the limit case of a vanishing length parameter, these models converge to a sharp crack formulation. From this point of view, the length scale parameter is a purely auxiliary numerical quantity. However, the study of the stability of homogeneous solutions in a one dimensional setting permits a different interpretation. Since the length parameter is directly related to the critical stress at which the homogeneous solution becomes unstable and crack nucleation occurs, it can be related to the strength of the material. In this regard, the length parameter itself may be seen as a material parameter. These analytical findings are approved by finite element simulations. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2012 |
| Autor(en): | Kuhn, Charlotte ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Interpretation of parameters in phase field models for fracture |
| Sprache: | Englisch |
| Publikationsjahr: | 2012 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.201210071 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2012100... |
| Kurzbeschreibung (Abstract): | Phase field fracture models typically feature a length parameter, which controls the width of the diffuse transition zone between broken and undamaged material. In the limit case of a vanishing length parameter, these models converge to a sharp crack formulation. From this point of view, the length scale parameter is a purely auxiliary numerical quantity. However, the study of the stability of homogeneous solutions in a one dimensional setting permits a different interpretation. Since the length parameter is directly related to the critical stress at which the homogeneous solution becomes unstable and crack nucleation occurs, it can be related to the strength of the material. In this regard, the length parameter itself may be seen as a material parameter. These analytical findings are approved by finite element simulations. (© 2012 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 05:11 |
| Letzte Änderung: | 04 Mai 2022 05:11 |
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