International Journal of Fracture

, Volume 19, Issue 4, pp 257-275

First online:

On an analytical-numerical procedure for the analysis of cylindrical shells with arbitrarily oriented cracks

  • H. V. LakshminarayanaAffiliated withStructures Division, National Aeronautical Laboratory
  • , M. V. V. MurthyAffiliated withStructures Division, National Aeronautical Laboratory
  • , L. S. SrinathAffiliated withDepartment of Mechanical Engineering, Indian Institute of Science

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An analytical-numerical procedure for obtaining stress intensity factor solutions for an arbitrarily oriented crack in a long, thin circular cylindrical shell is presented. The method of analysis involves obtaining a series solution to the governing shell equation in terms of Mathieu and modified Mathieu functions by the method of separation of variables and satisfying the crack surface boundary conditions numerically using collocation. The solution is then transformed from elliptic coordinates to polar coordinates with crack tip as the origin through a Taylor series expansion and membrane and bending stress intensity factors are computed. Numerical results are presented and discussed for the pressure loading case.