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2025 | OriginalPaper | Buchkapitel

5. Gewichtsfunktionen für Randrisse in einfach zusammenhängenden Regionen

verfasst von : Xue-Ren Wu, Wu Xu

Erschienen in: Gewichtsfunktionsmethoden in der Bruchmechanik

Verlag: Springer Nature Singapore

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Zusammenfassung

Das Kapitel widmet sich der detaillierten Herleitung und Verifizierung von Gewichtsfunktionen (WFs) für Randrissgeometrien in einfach zusammenhängenden Regionen. Es werden standardisierte analytische WFs für verschiedene Randrissgeometrien bestimmt, die gemäß der grundlegenden Theorie und den Herleitungsverfahren in vorherigen Kapiteln entwickelt wurden. Die abgeleiteten WFs werden durch die Verwendung der Green’schen Funktion (GF) verifiziert, die mit der Methode der gewichteten komplexen Variablen Taylor-Reihen-Entwicklung (WCTSE) gewonnen wurde. Der Text bietet eine umfassende Analyse der WFs für Randrisse und stellt die Ergebnisse in Form von Tabellen und Abbildungen dar. Zudem werden Anwendungsbeispiele und Vergleiche mit bestehenden Lösungen präsentiert, um die Genauigkeit und Effizienz der hergeleiteten WFs zu demonstrieren. Besonders hervorzuheben ist die detaillierte Herleitung der WFs für verschiedene Randrissgeometrien sowie die Bereitstellung von Anwendungsbeispielen, die die praktische Relevanz der Ergebnisse unterstreichen.

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Metadaten
Titel
Gewichtsfunktionen für Randrisse in einfach zusammenhängenden Regionen
verfasst von
Xue-Ren Wu
Wu Xu
Copyright-Jahr
2025
Verlag
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-97-8443-1_5

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