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Stress intensity factors in bonded half planes containing inclined cracks and subjected to antiplane shear loading

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Abstract

The antiplane shear problem for two bonded dissimilar half planes containing a semi-infinite crack or two arbitrarily located collinear cracks is considered. For the semi-infinite crack the problem is solved for a concentrated wedge load and the stress intensity factor and the angular distribution of stresses are calculated. For finite cracks the problem is reduced to a pair of integral equations. Numerical results are obtained for cracks fully imbedded in a homogeneous medium, one crack tip touching the interface, and a crack crossing the interface for various crack angles.

Résumé

Le problème du cisaillement anti-planaire dans le cas de deux demi-plans dissimilaires assemblés et contenant une fissure semi-infinie ou 2 fissures arbitraires et colinéaires est pris en considération. Pour la fissure semi-infinie, le problème est résolu dans le cas d'une charge concentrée de coin, et le facteur d'intensité des contraintes ainsi que la distribution angulaire des contraintes peuvent être calculés. Pour les fissures finies, le problème est ramené à une paire d'équations intégrales. Les résultats numériques sont obtenus pour des fissures complètement noyées dans un milieu homogène, pour une fissure dont l'extrémité touche l'interface, et pour une fissure traversant l'interface avec des angles de fissuration divers.

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References

  1. F. Erdogan and T.S. Cook, International Journal of Fracture, 10 (1974) 227–240.

    Article  Google Scholar 

  2. F. Erdogan and G.D. Gupta, International Journal of Fracture, 11 (1975) 583–593.

    Google Scholar 

  3. J. Dundurs, Elastic Interaction of Dislocations with Inhomogeneities, Mathematical Theory of Dislocations, T. Mura, ed., (1969) 70–115.

  4. N.I. Muskhelishvili, Singular Integral Equations, P. Noordhoff, Groningen, The Netherlands (1953).

    Google Scholar 

  5. F. Erdogan, “Mixed Boundary Value Problems in Mechanics”, in Mechanics Today, Vol. 4, S. Nemat-Nasser, ed., Pergamon Press, Oxford (1978).

    Google Scholar 

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This work was supported by NASA-Langley under the Grant NGR39-007-011 and by NSF under the Grant ENG-77-19127.

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Bassani, J.L., Erdogan, F. Stress intensity factors in bonded half planes containing inclined cracks and subjected to antiplane shear loading. Int J Fract 15, 145–158 (1979). https://doi.org/10.1007/BF00037830

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  • DOI: https://doi.org/10.1007/BF00037830

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