Schlüter, Alexander ; Willenbücher, Adrian ; Kuhn, Charlotte ; Müller, Ralf (2014)
Phase field approximation of dynamic brittle fracture.
In: Computational Mechanics, 54 (5)
doi: 10.1007/s00466-014-1045-x
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Numerical methods that are able to predict the failure of technical structures due to fracture are important in many engineering applications. One of these approaches, the so-called phase field method, represents cracks by means of an additional continuous field variable. This strategy avoids some of the main drawbacks of a sharp interface description of cracks. For example, it is not necessary to track or model crack faces explicitly, which allows a simple algorithmic treatment. The phase field model for brittle fracture presented in Kuhn and Müller (Eng Fract Mech 77(18):3625–3634, 2010) assumes quasi-static loading conditions. However dynamic effects have a great impact on the crack growth in many practical applications. Therefore this investigation presents an extension of the quasi-static phase field model for fracture from Kuhn and Müller (Eng Fract Mech 77(18):3625–3634, 2010) to the dynamic case. First of all Hamilton’s principle is applied to derive a coupled set of Euler-Lagrange equations that govern the mechanical behaviour of the body as well as the crack growth. Subsequently the model is implemented in a finite element scheme which allows to solve several test problems numerically. The numerical examples illustrate the capabilities of the developed approach to dynamic fracture in brittle materials.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2014 |
| Autor(en): | Schlüter, Alexander ; Willenbücher, Adrian ; Kuhn, Charlotte ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Phase field approximation of dynamic brittle fracture |
| Sprache: | Englisch |
| Publikationsjahr: | November 2014 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computational Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 54 |
| (Heft-)Nummer: | 5 |
| DOI: | 10.1007/s00466-014-1045-x |
| URL / URN: | http://link.springer.com/10.1007/s00466-014-1045-x |
| Kurzbeschreibung (Abstract): | Numerical methods that are able to predict the failure of technical structures due to fracture are important in many engineering applications. One of these approaches, the so-called phase field method, represents cracks by means of an additional continuous field variable. This strategy avoids some of the main drawbacks of a sharp interface description of cracks. For example, it is not necessary to track or model crack faces explicitly, which allows a simple algorithmic treatment. The phase field model for brittle fracture presented in Kuhn and Müller (Eng Fract Mech 77(18):3625–3634, 2010) assumes quasi-static loading conditions. However dynamic effects have a great impact on the crack growth in many practical applications. Therefore this investigation presents an extension of the quasi-static phase field model for fracture from Kuhn and Müller (Eng Fract Mech 77(18):3625–3634, 2010) to the dynamic case. First of all Hamilton’s principle is applied to derive a coupled set of Euler-Lagrange equations that govern the mechanical behaviour of the body as well as the crack growth. Subsequently the model is implemented in a finite element scheme which allows to solve several test problems numerically. The numerical examples illustrate the capabilities of the developed approach to dynamic fracture in brittle materials. |
| 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 09:45 |
| Letzte Änderung: | 04 Mai 2022 09:45 |
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