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Rissspitzenfelder in Phasenfeldmodellierungen von duktilen Bruchprozessen

Phasenfeldtheorien sind in der Bruchmechanik eingeführt worden, um die Oberflächenenergie von Rissen zu erfassen. Der Grundgedanke dieser Theorien besteht darin, eine zusätzliche Variable und ihren Gradienten in das konstitutive Modell einzuführen. Im Allgemeinen werden die Gradienten von Zustandsvariablen zur Regularisierung der Feldgleichungen eingeführt. Der Vorteil solcher Theorien ist, dass komplexe bruchmechanische Phänomene wie Rissinitiierung, -knicken und -verzweigung einheitlich behandelt werden können.

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Die vorliegende Arbeit befasst sich konkret mit Anwendungen im Zusammenhang mit dem Versagen duktiler Werkstoffe. Zu diesem Zweck wird eine Modellierung der konstitutiven Antwort im Rahmen der Kontinuumsschädigungsmechanik angenommen, wo der Versagensprozess als Ergebnis der Entstehung, des Wachstums und der Koaleszenz von Hohlräumen beschrieben wird. Dementsprechend hängt die Evolutionsgleichung der Schädigungsvariablen im vorgeschlagenen Modell von der Rate der plastischen Bogenlänge ab. Weiterhin können Einflüsse der Triaxialität und des Lode-Winkels in dieser Evolutionsgleichungen berücksichtigt werden. Die thermodynamische Konsistenz des Modells wird in der vorliegenden Arbeit im Rahmen der sog. nicht-konventionellen Thermodynamik überprüft.

Abschließend werden die Fähigkeiten des vorgeschlagenen Modells mit Hilfe von experimentellen Ergebnissen untersucht. Zu diesem Zweck werden vorhergesagten Rissverläufe verglichen mit experimentell ermittelten Risspfaden in dünnwandigen Rohren unter kombinierter Zug/Druck- und Torsionsbelastung. Insbesondere werden sowohl proportionale als auch nicht-proportionale, zyklische Belastungen untersucht.

Reference: BR-2023-022

Title: Rissspitzenfelder in Phasenfeldmodellierungen von duktilen Bruchprozessen
Author(s): A. Tsakmakis, M. Vormwald
DOI: 10.48447/BR-2023-022
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: Phasenfeldmodellierung,duktile Bruchmechanik,Mixed Mode,Plastizitätstheorie

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Author(s): J. Rosenberger, J. Tlatlik, S. Münstermann

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Automatisierte Analyse von Bruchflächen mittels künstlicher neuronaler Netzwerke (KNN) für kerntechnisch relevante ...

Publication type: conference paper (PDF)

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

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Author(s): C. Häffner, D. Lenz, F. Eyben, M. Könemann, M. Feldmann, S. Münstermann

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€25.00

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Author(s): U. Hähnel, P. Hübner, B. Kranz

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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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Author(s): F. Garnadt, C. Kontermann, M. Oechsner

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Author(s): C. Fällgren, H. T. Beier, M. Vormwald

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Risswachstum unter thermomechanischer Ermüdung an der Nickelbasis Gusslegierung Inconel 100

Publication type: conference paper (PDF)

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German

€25.00

Online only

Author(s): A. Kern, S. Wörner, H. T. Beier, U. Jung

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Bruchmechanische Lebensdauer-Prognose für additive gefertigte Aluminium Komponenten

Publication type: conference paper (PDF)

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1

German

€25.00

Online only

Author(s): G. Kullmer, D. Weiß, B. Schramm

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Ein neuer Ansatz zur Beschreibung der doppel-S-förmigen Rissfortschrittskurve von Aluminiumlegierungen

Publication type: conference paper (PDF)

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German

€25.00

Online only