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Konfigurationskräfte zur Simulation von Risswachstum mit der VEM

Die präzise Simulation von Risswachstum erfordert genaue Berechnungen von Rissspitzenbeanspruchungen und den daraus resultierenden Rissablenkungswinkeln. Diese Berechnungen erfordern die Lösung des zugrunde liegenden Randwertproblems (RWP), die im Allgemeinen mithilfe numerischer Methoden wie der Finite-Elemente-Methode (FEM) gewonnen wird. Da jedoch Genauigkeit und Rechenaufwand hierbei konkurrierende Aspekte sind, müssen häufig Kompromisse eingegangen werden, um zufriedenstellende Ergebnisse in akzeptablen Rechenzeiten zu erzielen. Der Einsatz effizienter Methoden, sowohl für die Lösung des RWPs als auch für die Ermittlung der Beanspruchungsgrößen, kann den benötigten Rechenaufwand erheblich reduzieren, während geforderte Genauigkeiten beibehalten werden.

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Die präzise Simulation von Risswachstum erfordert genaue Berechnungen von Rissspitzenbeanspruchungen und den daraus resultierenden Rissablenkungswinkeln. Diese Berechnungen erfordern die Lösung des zugrunde liegenden Randwertproblems (RWP), die im Allgemeinen mithilfe numerischer Methoden wie der Finite-Elemente-Methode (FEM) gewonnen wird. Da jedoch Genauigkeit und Rechenaufwand hierbei konkurrierende Aspekte sind, müssen häufig Kompromisse eingegangen werden, um zufriedenstellende Ergebnisse in akzeptablen Rechenzeiten zu erzielen. Der Einsatz effizienter Methoden, sowohl für die Lösung des RWPs als auch für die Ermittlung der Beanspruchungsgrößen, kann den benötigten Rechenaufwand erheblich reduzieren, während geforderte Genauigkeiten beibehalten werden.

Die Virtuelle-Elemente-Methode (VEM) ist ein modernes Diskretisierungsverfahren zur numerischen Lösung von RWPs, das eine beträchtliche Flexibilität im Diskretisierungsprozess ermöglicht. Im Kontext der numerischen Bruchmechanik bietet die VEM z.B. die Möglichkeit, Elemente von beliebig komplexer Form zu verwenden, was die Modellierung von Risswachstum erleichtert, indem auf wiederholte Neuvernetzung des sich inkrementell verändernden RWPs verzichtet werden kann.

Diese Arbeit befasst sich mit der Anwendung von Konfigurationskräften im materiellen Raum für die effiziente Simulation von Risswachstum mit der VEM. Es werden Studien durchgeführt, die die Vor- und Nachteile des Einsatzes der Methoden untersuchen. Risswachstumssimulationen basierend auf der VEM werden präsentiert und die Ergebnisse mit experimentellen Referenzlösungen sowie mit Lösungen der FEM verglichen.

Reference
BR-2025-514

Title
Konfigurationskräfte zur Simulation von Risswachstum mit der VEM
Author(s)
K. Schmitz, A. Ricoeur
DOI
10.48447/BR-2025-514
Event
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
Year of publication
2025
Publication type
conference paper (PDF)
Language
German
Keywords
Simulation,Risswachstum,Virtuelle-Elemente-Methode,Konfigurationskräfte

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Ermittlung von Kitagawa-Takahashi Diagrammen mittels Gleichstrom-Potentialsondenmessungen
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57. Tagung des Arbeitskreises Bruchmechanik und Bauteilsicherheit
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57. Tagung des Arbeitskreises Bruchmechanik und Bauteilsicherheit
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German
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A. Schlüter, R. Müller
10.48447/BR-2025-472
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Ermittlung des effektiven Risswiderstands in porösen Materialien mithilfe eines Bruch-Phasenfeldmodells
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10.48447/BR-2025-472
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Online only New
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10.48447/BR-2025-525
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10.48447/BR-2025-525
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-508
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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10.48447/BR-2025-508
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Price €25.00
Online only New
Investigation of the influence of T-stress in biaxially loaded specimen on plasticity-induced crack closure in Ti6246 using digital image correlation
Author(s): A. Zaiat, C. Kontermann, A. Blug, M. Oechsner, A. Bertz, G. Laskin, F. Conrad, D. Carl
10.48447/BR-2025-535
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Investigation of the influence of T-stress in biaxially loaded specimen on plasticity-induced crack closure in Ti6246 using digital image correlation
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A. Zaiat, C. Kontermann, A. Blug, M. Oechsner, A. Bertz, G. Laskin, F. Conrad, D. Carl
10.48447/BR-2025-535
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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Investigation of the influence of T-stress in biaxially loaded specimen on plasticity-induced crack closure in Ti6246 using digital image correlation
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10.48447/BR-2025-535
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Price €25.00
Online only New
Beschreibung des R- und des Temperatureinflusses sowie des Einlaufverhaltens bei experimentell bestimmten Rissfortschrittskurven mit dem Exponentialansatz
Author(s): G. Kullmer, D. Weiß, B. Schramm
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Beschreibung des R- und des Temperatureinflusses sowie des Einlaufverhaltens bei experimentell bestimmten Rissfortschrittskurven mit dem Exponentialansatz
Beschreibung des R- und des Temperatureinflusses sowie des Einlaufverhaltens bei experimentell bestimmten Rissfortschrittskurven mit dem Exponentialansatz
G. Kullmer, D. Weiß, B. Schramm
10.48447/BR-2025-492
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-492
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Price €25.00
Online only New
Einfluss der T-Spannung auf das Rissablenkungsverhalten in dünnwandigen AA2024-T3 Blechen unter biaxialer Ermüdungsbeanspruchung
Author(s): V. Schöne, T. Strohmann, F. Paysan, E. Breitbarth
10.48447/BR-2025-497
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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Einfluss der T-Spannung auf das Rissablenkungsverhalten in dünnwandigen AA2024-T3 Blechen unter biaxialer Ermüdungsbeanspruchung
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V. Schöne, T. Strohmann, F. Paysan, E. Breitbarth
10.48447/BR-2025-497
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Einfluss der T-Spannung auf das Rissablenkungsverhalten in dünnwandigen AA2024-T3 Blechen unter biaxialer Ermüdungsbeanspruchung
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10.48447/BR-2025-497
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Online only New
Master Curve-Auswertungen und fraktographische Analysen zum Bruchmechanismus – neue Ergebnisse zur Untersuchung des Master Curve Konzepts für ferritisches Gusseisen mit Kugelgraphit bei dynamischer Beanspruchung (Projekt MCGUSS)
Author(s): W. Baer, M. Holzwarth, U. Mayer
10.48447/BR-2025-467
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-467
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Ferritisches Gusseisen mit Kugelgraphit,Master Curve,Sprödbruch,bruchmechanische Analyse,dynamische Bruchzähigkeit
Price €25.00
Online only New
Prediction of Residual Stresses in Heat-Treated Gears Using Finite Element-Based Artificial Neural Networks
Author(s): B. Mushtaq, H.R. Bayat, A. Vötterl
10.48447/BR-2025-486
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-486
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-486
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
conference paper (PDF)
German
Machine Learning,Gear,Heat Treatment,Residual Stress,Finite Element Analysis
Price €25.00
Online only New
Energiebasierte Analyse zur Strukturbildung bei dreidimensionalen Rissmustern
Author(s): M. Hofmann, R. Anderssohn, N. Jesch-Weigel, R. Zielke, T. Wallmersperger
10.48447/BR-2025-483
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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10.48447/BR-2025-483
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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10.48447/BR-2025-483
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
conference paper (PDF)
German
Rissmuster,3D-Bruchmechanik,Energiemethode
Price €25.00
Online only New
Integration von digitalen und experimentellen Methoden zur Analyse des Ermüdungsfortschrittshaltens in komplexen dreidimensionalen Blechbauteilen am Beispiel von L-Profilen
Author(s): F. Dömling, F. Paysan, V. Schöne, E. Breitbarth
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Integration von digitalen und experimentellen Methoden zur Analyse des Ermüdungsfortschrittshaltens in komplexen dreidimensionalen Blechbauteilen am Beispiel von L-Profilen
Integration von digitalen und experimentellen Methoden zur Analyse des Ermüdungsfortschrittshaltens in komplexen dreidimensionalen Blechbauteilen am Beispiel von L-Profilen
F. Dömling, F. Paysan, V. Schöne, E. Breitbarth
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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Integration von digitalen und experimentellen Methoden zur Analyse des Ermüdungsfortschrittshaltens in komplexen dreidimensionalen Blechbauteilen am Beispiel von L-Profilen
F. Dömling, F. Paysan, V. Schöne, E. Breitbarth
10.48447/BR-2025-463
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
conference paper (PDF)
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FEM,Digitale Bildkorrelation,L-Profil,Schadenstoleranz
Price €25.00
Online only New
CRACKTRACER LIGHT - EINE VEREINFACHTE UND SCHNELLERE VERSION VON CRACKTRACER3D
Author(s): G. Dhondt
10.48447/BR-2025-533
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
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G. Dhondt
10.48447/BR-2025-533
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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CRACKTRACER LIGHT - EINE VEREINFACHTE UND SCHNELLERE VERSION VON CRACKTRACER3D
G. Dhondt
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57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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Rißfortschritt,mixed-mode,formfaktoren,Oberflächeneinfluss,
Price €25.00
Online only New
Experimentelle Ermittlung von Rissablenkungswinkeln bei außerphasiger Mixed-Mode-Belastung mittels einer neuartigen Probengeometrie
Author(s): D. Weiß, S. Krome, T. Duffe, G. Kullmer
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D. Weiß, S. Krome, T. Duffe, G. Kullmer
10.48447/BR-2025-490
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
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D. Weiß, S. Krome, T. Duffe, G. Kullmer
10.48447/BR-2025-490
57. Tagung des DVM-Arbeitskreises Bruchmechanik und Bauteilsicherheit – Tagung 2025
2025
conference paper (PDF)
German
Rissablenkungswinkel,experimentelle Ermittlung,neuartige Probengeometrie,außerphasige Mixed-Mode-Belastung
Price €25.00
Online only New