International Journal of Fracture

, Volume 25, Issue 1, pp 69–77 | Cite as

On the expansion of a penny-shaped crack by a rigid circular disc inclusion

  • A. P. S. Selvadurai
  • B. M. Singh


This paper examines the problem of the symmetric indentation of a penny-shaped crack by a smoothly embedded rigid circular thin disc inclusion. The analysis of the problem yields a system of triple integral equations which are solved in an approximate manner. An expression for the stress intensity factor at the boundary of the penny-shaped crack is evaluated in the form of a series which involves the ratio of the radius of the rigid circular inclusion to the radius of the penny-shaped crack.


Mechanical Engineer Integral Equation Civil Engineer Stress Intensity Intensity Factor 
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Dans le mémoire, on examine le problème du marquage symétrique d'une fissure en angle noyée par une inclusion mince et lisse, en forme de disque circulaire rigide. L'analyse du problème conduit à un système d'équations intégrales triples, que l'on résoud par approximations. On obtient une expression du facteur d'intensité de contrainte aux frontières de la fissure sous la forme d'une série comportant le rapport du rayon de l'inclusion rigide circulaire au rayon de la fissure.


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Copyright information

© Martinus Nijhoff Publishers 1984

Authors and Affiliations

  • A. P. S. Selvadurai
    • 1
  • B. M. Singh
    • 1
  1. 1.Department of Civil EngineeringCarleton UniversityOttawaCanada

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