A review of limit load solutions for cylinders with axial cracks and development of new solutions

Limit load solutions for axially cracked cylinders are reviewed and compared with available finite element (FE) results. New limit solutions for thick-walled cylinders with axial cracks under internal pressure are developed to overcome problems in the existing solutions. The newly developed limit load solutions are a global solution for through-wall cracks, global solutions for internal/external surface cracks and local solutions for internal/external surface cracks. The newly developed limit pressure solutions are compared with available FE data and the results show that the predictions agree well with the FE results and are generally conservative.

[1]  S. S. Gill,et al.  Limit Pressures for Cylindrical Shells with Unreinforced Openings of Various Shapes , 1970 .

[2]  Manfred Staat,et al.  Plastic collapse analysis of longitudinally flawed pipes and vessels , 2004 .

[3]  A. G. Miller,et al.  Review of limit loads of structures containing defects , 1988 .

[4]  Y. Lei J-integral and limit load analysis of semi-elliptical surface cracks in plates under tension , 2004 .

[5]  Yun-Jae Kim,et al.  Plastic limit pressures for cracked pipes using finite element limit analyses , 2002 .

[6]  R. Kitching,et al.  Limit and burst pressures for cylindrical shells with part-through slots , 1982 .

[7]  Y. Lei,et al.  J-integral and limit load analysis of semi-elliptical surface cracks in plates under combined tension and bending , 2004 .

[8]  K. Zarrabi,et al.  Plastic collapse pressure of cylindrical vessels containing longitudinal surface cracks , 1997 .

[9]  I. W. Goodall,et al.  Theoretical determination of reference stress for partially penetrating flaws in plates , 2001 .

[10]  Manfred Staat Local and global collapse pressure of longitudinally flawed pipes and cylindrical vessels , 2005 .

[11]  E. M. Morozov,et al.  Elastic-plastic fracture mechanics , 1978 .

[12]  E. S. Folias A finite line crack in a pressurized spherical shell , 1965 .

[13]  F. Erdogan,et al.  Cylindrical and spherical shells with cracks , 1969 .

[14]  E. S. Folias On the effect of initial curvature on cracked flat sheets , 1969 .

[15]  F. Erdogan,et al.  Ductile fracture theories for pressurised pipes and containers , 1976 .

[16]  Manfred Staat,et al.  Limit analysis of flaws in pressurized pipes and cylindrical vessels. Part I: Axial defects , 2007 .

[17]  E. S. Folias An axial crack in a pressurized cylindrical shell , 1965 .

[18]  Kamran Nikbin,et al.  Finite element based plastic limit loads for cylinders with part-through surface cracks under combined loading , 2003 .

[19]  Weilin Zang,et al.  A combined deterministic and probabilistic procedure for safety assessment of components with cracks - Handbook , 2008 .