Infinite cylinder with a transverse crack and two rigid inclusions under axial tension

Toygar M., Gecit M.

7th International Conference on Civil and Structural Engineering/5th International Conference on the Applications of Artificial Intelligence to Civil and Structural Engineering, Oxford, United Kingdom, 13 - 15 September 1999, pp.179-188 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Oxford
  • Country: United Kingdom
  • Page Numbers: pp.179-188


This paper considers the problem of an axisymmetric infinite cylinder with a ring shaped crack at z = 0 and two ring-shaped rigid inclusions with negligible thickness at z = +/-L. The cylinder is under the action of uniformly distributed axial tension applied at infinity and its lateral surface is free of traction. It is assumed that the material of the cylinder is linearly elastic and isotropic. Crack surfaces are free and the constant displacements are continuous along the rigid inclusions while the stresses have lumps, Formulation of the mixed boundary problem under consideration is reduced to three singular integral equations in terms of the derivative of the crack surface displacement and the stress jump on the rigid inclusions. These equations together with the single-valuedness condition for the displacements around the crack and the equilibrium equations along the inclusions are converted to a system of linear algebraic equations which is solved numerically. Stress intensity factors are calculated and presented in graphical form.