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Application of the weight function method for determining stress intensity factors of semi-elliptical cracks

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Abstract

The weight function method is applied to solving three-dimensional linear elastic fracture mechanics (LEFM) problems. Within the framework of the present approach the fundamental equations of LEFM are satisfied and the minimum of additional assumptions are used.

The crack opening displacement field and stress intensity factors for a semi-elliptical surface crack in the nonuniform stress fields are obtained. Comparison of the calculated results with the numerical data from the literature confirms the efficiency of the proposed method for the solution of three-dimensional crack problems.

Zusammenfassung

Die Gewichtsfunktionsmethode wird für die Lösung dreidimensionaler Aussgaben der linearen Bruchmechanik gebraucht.

Im Rahmen der vorgeschlagenen Methode werden fundamentale Gleichungen der linearen Bruchmechanik befriedigt und nur minimale Anzahl der Zuschlagsvermutungen benutzt. Es wird gefunden die Ausdrücke für Verschiebungen der Risskanten und die Bedeutungen der Spannungsintensitätsfaktoren bei ungleichartiger Belastung für halbelliptischen Riss im Halbraum.

Der Vergleich der Ergebnisse vorliegender Arbeit mit bekannten Zahlenangaben hat die Effektivität der vorgeschlagenen Methode für die Lösung dreidimensionaler Aufgaben der linearen Bruchmechanik gezeigt.

Résumé

La méthode des fonctions pondérées est appliquée à la solution de problèmes de mécanique de rupture linéaire et élastique (MRLE) à trois dimensions. Dans le cadre de la présente approche, on satisfait aux équations fondamentales de la MRLE et l'on recourt à un minimum d'hypothèses supplémentaires. On obtient le champ de déplacement d'ouverture de la fissure et les facteurs d'intensité des contraintes pour une fissure de surface semi-elliptique, pour des champs de contraintes non uniformes. En comparant les résultats du calcul avec les données numériques en provenance de la littérature, on confirme l'efficacité de la méthode proposée pour solutionner les problèmes de fissuration sur trois dimensions.

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Authors and Affiliations

  1. Institute for Problems of Strength, Academy of Sciences of the Ukr.SSR, Kiev, USA

    V. A. Vainshtok & I. V. Varfolomeyev

Authors
  1. V. A. Vainshtok
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  2. I. V. Varfolomeyev
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Vainshtok, V.A., Varfolomeyev, I.V. Application of the weight function method for determining stress intensity factors of semi-elliptical cracks. Int J Fract 35, 175–186 (1987). https://doi.org/10.1007/BF00015587

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  • DOI: https://doi.org/10.1007/BF00015587

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