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Strain energy release rate for radial cracks emanating from a pin loaded hole

Abstract

The strain energy release rate for two equal radial cracks emanating from a central hole in a finite width strip is determined by experimental compliance. The load is transmitted to the strip through a neatly fitting pin in the central hole. Comparisons are made with a recently available solution for the case where the loading is that of uniform tension remote from the hole.

Résumé

Par vérifications expérimentales, on détermine le taux de dissipation de l'énergie de déformation dans le cas de deux fissures identiques issues radialement d'un trou situé au centre d'une tôle mince de largeur finie.

La charge est appliquée à la tôle au moyen d'un axe étroitement ajusté dans le trou. On procède à une comparaison entre le cas traité et celui, récemment solutionné, où la charge est appliquée de manière uniforme à une certaine distance d'un trou.

Zusammenfassung

Der Dissipationsgrad der Verformungsenergie für zwei identische Risse, welche radial von einem in der Mitte eines Feinbleches endlicher Breite liegenden Loch ausgehen, wird experimentell bestimmt. Die Last wird durch einen genau in das Loch passenden Dorn auf das Blech übertragen.

Der hier behandelte Fall wird mit dem vor kurzem gelösten Problem, wo die Last in einer gewissen Entfernung des Loches gleichmäßig aufgebracht wird, verglichen.

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Abbreviations

a :

Semi-crack length

a n,b n,c n :

Polynomial coefficients

C :

Compliance

D :

Diameter of hole

E :

Young's modulus of elasticity for the strip

G :

Strain energy release rate

H :

Length of centrally cracked plate

K I,K II :

Stress intensity factors

K t :

Stress concentration factor at intersection of hole boundary withy-axis based on gross stress

L :

Length of crack from circumference of hole

P :

Pin load

R :

Radius of hole

S :

Gross stress in strip remote from hole

t :

Thickness of strip

W :

Width of strip

λ:

Dimensionless crack lengthL/R

References

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Cartwright, D.J., Ratcliffe, G.A. Strain energy release rate for radial cracks emanating from a pin loaded hole. Int J Fract 8, 175–181 (1972). https://doi.org/10.1007/BF00703879

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Keywords

  • Mechanical Engineer
  • Civil Engineer
  • Energy Release
  • Energy Release Rate
  • Central Hole