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Ein Phasenfeldmodell zur Modellierung von Risswachstum bei Indentationsversuchen in Glas

Phasenfeldmodelle wurden in der Bruchmechanik als regularisierte Formulierung der Griffithschen Theorie eingeführt und haben sich als leistungsfähiges Werkzeug zur Beschreibung komplexer Rissphänomene in spröden Materialien etabliert. Dabei wird die elastische freie Energie in den klassischen Bruchphasenfeldmodellen in einen risstreibenden (positiven) und einen nicht treibenden (negativen) Anteil aufgeteilt. Diese Zerlegung basiert häufig entweder auf einer volumetrisch-deviatorischen Aufspaltung oder auf einer spektralen Zerlegung der Helmholtzschen freien Energie.

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Description

In der vorliegenden Arbeit wird ein Phasenfeldansatz zur Modellierung von Risswachstum bei Indentationsversuchen in Glas vorgestellt. Es wird gezeigt, dass in diesem Kontext die klassischen Ansätze zur Definition der risstreibenden Kraft, auf Basis der Dehnung, zu unphysikalischer Rissausbreitung führen. Spannungsbasierte Definitionen der Rissantriebskraft können dagegen das spröde Versagensverhalten von Glas explizit erfassen und werden in dieser Arbeit verwendet.

Die bei Eindrückversuchen mit stumpfen Indentern typischen Hertzschen Rissmuster, siehe Abb. 1, können mit dem vorgestellten Modell erfolgreich vorhergesagt werden.

Reference: BR-2026-702

Title: Ein Phasenfeldmodell zur Modellierung von Risswachstum bei Indentationsversuchen in Glas
Author(s): A. Gibb, A. Tsakmakis, R. Müller, M.-L. Weiß, M. Seel, A. Trauth
DOI: 10.48447/BR-2026-702
Event: 58. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2026
Year of publication: 2026
Publication type: conference paper (PDF)
Language: German
Keywords: Phasenfeldmethode,Indentation,Glas,sprödes Risswachstum

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Experimentelle Rissfortschrittsuntersuchungen an einem hyperelastischen Polyurethan-Klebstoff mit einem optimierten Versuchsverfahren

Publication type: conference paper (PDF)

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€23.36

Online only

Author(s): M. Ilg, F. Dittmann, I. Varfolomeev

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Numerische Untersuchungen zum Einfluss des Out-of-Plane Constraints auf die Risszähigkeit im spröd-duktilen Übergangsbereich

Publication type: conference paper (PDF)

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€23.36

Online only

Author(s): S. Henschel, L. Krüger

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Bruchmechanisches Verhalten von EN-GJS-450-18 im duktil-spröden Übergangsbereich

Publication type: conference paper (PDF)

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Online only