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Ermittlung der Effektiven Beanspruchung im Rissspitzennahfeld auf Basis der Gebietsintegralmethode

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Das Konzept eines Rissfortschrittsgesetzes zur Berechnung der Zyklenzahl bis zum Erreichen einer definierten Risstiefe basiert darauf, dass die zyklische Beanspruchung in der Nähe der Rissspitze bekannt ist. Je nach Geometrie und Beanspruchungssituation einer zu bewertenden Struktur ist die Aufgabe der Ermittlung dieser lokalen Beanspruchung nicht trivial. Der Beitrag stellt hierzu ein Vorgehen vor, welches auf dem zyklischen J-Integral basiert. Dieses wird auf Basis des Gebietsintegrals mittels der Finite Elemente Methode bestimmt. Um das Entstehen einer plastischen Nachlaufzone und damit einhergehende plastizitätsinduzierte Rissschließeffekte zu ermöglichen, kommt ein elastisch-plastisches Materialmodell mit linearer kinematischer Verfestigung zum Einsatz. Durch die Vorgabe einer zyklischen Beanspruchung und das Lösen von Randbedingungen entlang des Risspfads wird ein wachsender Riss in einer zweidimensionalen Beispielstruktur simuliert. Die Berechnung des zyklischen effektiven J-Integrals für verschiedene Konturen erfolgt in einer nachträglichen Auswertung. Es stellt sich heraus, dass die Lösung des Gebietsintegrals wegunabhängig ist, falls die benötigten Feldgrößen während der Belastung auf den Rissöffnungszeitpunkt referenziert werden. Eine Integration des Gebietsintegrals bis zum Rissschließzeitpunkt ergibt ein wegunabhängiges Ergebnis für das zyklisch effektive J-Integral während der Entlastung. Ein Vergleich der lokalen Lösung mit der globalen Betrachtung der Energiedifferenz für eine finite Risserweiterung liefert ein konsistentes Ergebnis. Abschließend werden etwaige Anwendungsvorteile der Gebietsintegralmethode diskutiert.

Reference: BR-2023-023

Title: Ermittlung der Effektiven Beanspruchung im Rissspitzennahfeld auf Basis der Gebietsintegralmethode
Author(s): F. Garnadt, C. Kontermann, M. Oechsner
DOI: 10.48447/BR-2023-023
Event: 55th Conference of the Working Group on Fracture Mechanics and Structural Safety
Year of publication: 2023
Publication type: conference paper (PDF)
Language: German
Keywords: Zyklisches J-Integral,Rissschließen,Gebietsintegralmethode

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Author(s): A. Tsakmakis, M. Vormwald

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€25.00

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Author(s): V. Schöne, F. Paysan, D. Melching, T. Strohmann, E. Breitbarth

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€25.00

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Author(s): F. Paysan, F. Dömling, V. Schöne, E. Breitbarth

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Author(s): R. W. Schirmer, M. Selent, M. Abendroth, B. Kiefer

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€25.00

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Author(s): M. Holzwarth, W. Baer, U. Mayer, S. Weihe

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Author(s): P. Yadegari, H. T. Beier, M. Vormwald

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Einfluss von Constraint auf duktile Rissinitiierung und duktiles Risswachstum

Publication type: conference paper (PDF)

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€25.00

Online only

Editor(s): M. Vormwald

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Bruchmechanische Werkstoff- und Bauteilbewertung: Beanspruchungsanalyse, Prüfmethoden und Anwendungen

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€90.00

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Auswertung von Kraft-Weg Daten zur Detektion von Rissschließen im Schwellenwertbereich

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