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Multiaxiale Lebensdaueranalyse auf Basis komplexer Invarianten im Vergleich zu Ansätzen mit kritischer Schnittebene

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In diesem Beitrag wird ein neuartiger und vielversprechender Ansatz auf Basis komplexer Invarianten namens COIN LiWI vorgestellt, der von Alexander Schmidt entwickelt wurde. Die Methode liefert den Verlauf einer vorzeichenbehafteten Vergleichsspannung ähnlich der Von-Mises-Spannung, die einem Rainflow-Zyklen-Zählverfahren zugänglich ist. Das von klassischen Ansätzen bekannte Problem, dass bei Verwendung eines künstlichen Vorzeichens, z.B. aus dem hydrostatischen Spannungsanteil, unphysikalische Sprünge im Vergleichsspannungsverlauf auftreten, tritt nicht auf. Da die Suche nach einer kritischen Ebene entfällt, ist die COIN-LiWI-Methode sehr effizient. Außerdem ist sie auf duktile, halbduktile und spröde Werkstoffe anwendbar (z. B. Stahl, Aluminiumgusslegierungen und Grauguss). Ein weiterer wichtiger Punkt ist die Fähigkeit zur korrekten Vorhersage der Ermüdungslebensdauer bei kombinierter Biege-Torsions-Belastung mit 90° Phasenverschiebung, was den Extremfall maximaler Nichtproportionalität darstellt. Während andere Methoden nicht konservative Ergebnisse liefern und daher zusätzliche Korrekturen erfordern, berücksichtigt COIN LiWI diese Effekte implizit. Ein Abgleich mit Versuchsergebnissen ist durch Einstellung eines zusätzlichen Materialparameters möglich. Die COIN LiWI-Methode wird mit klassischen Ansätzen der kritischen Ebene unter Verwendung der bereits etablierten skalierten Normalspannungen in Bezug auf Genauigkeit, Effizienz und numerische Stabilität verglichen. Anhand mehrerer Beispiele aus der industriellen Praxis werden die Unterschiede zwischen diesen Methoden herausgearbeitet.

Reference: BF-2025-604

Title: Multiaxiale Lebensdaueranalyse auf Basis komplexer Invarianten im Vergleich zu Ansätzen mit kritischer Schnittebene
Author(s): C. Gaier, W. Hübsch, G. Spindelberger
DOI: 10.48447/BF-2025-604
Event: Strukturfestigkeit und Produktlebenszyklus – Vom Design bis zur Kreislaufwirtschaft – Tagung 2025
Year of publication: 2025
Publication type: conference paper (PDF)
Language: German
Keywords: COIN LiWI,Skalierte Normalspannung,Nichtproportionale Banspruchungen,Komplexe Invarianten,Kritische Schnittebene

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Nichtlineare Regression am Beispiel von Kerbformzahlschätzern

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Betriebsfestigkeitsbewertung von Aluminiumguss durch den Einsatz digitaler Zwillinge und maschinellem Lernen

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€25.00

Online only New

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Schichtbasierte Schwingfestigkeitsbewertung von Gussbauteilen

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€25.00

Online only New

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Bauteilberechnung unter Wasserstoffatmosphäre auf Basis der FKM-Richtlinien

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€25.00

Online only New

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Simulationsgestützte Omission von Betriebslastsignalen

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Online only New

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€25.00

Online only New

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Markt- und nutzungsabhängige Auslegung durch Betrachtung von Kundenprofilen und Geodaten

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Einsatz von Vorerfahrung in der statistischen Versuchsplanung und Bauteilabsicherung

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€25.00

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€25.00

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