On the buckling of cylindrical shells with through cracks under axial load

Presence of cracks or similar imperfections can considerably reduce the buckling load of a shell structure. In this paper, the buckling of cylindrical shells with through cracks has been studied. A general finite element model has been proposed, verified and applied to some novel cracked shell buckling problems for which documented results are not available. A special purpose program has been developed for generating finite elements models of cylindrical shells with cracks of varying length and orientation. The buckling behavior of cracked cylinders in tension and compression has been studied. The results of the analysis are presented in parametric form when it seems to be appropriate. Sensitivity of the buckling load to the crack length and orientation has also been investigated.

[1]  Klaus-Jürgen Bathe,et al.  On finite element large displacement and elastic-plastic dynamic analysis of shell structures , 1980 .

[2]  H. Saunders Book Reviews : FINITE ELEMENT ANALYSIS FUNDAMENTALS R.H. Gallagher Prentice Hall, Inc., Englewood Cliffs, New Jersey (1975) , 1977 .

[3]  G. C. Sih,et al.  Tensile and compressive buckling of plates weakened by cracks , 1986 .

[4]  Johann Arbocz,et al.  Computerized buckling analysis of shells , 1985 .

[5]  Ian R. Grosse,et al.  Finite element error estimation for crack tip singular elements , 1993 .

[6]  M. Sh. Dyshel Fracture of cylindrical panels with cracks in tension , 1990 .

[7]  M. Sh. Dyshel Stress-intensity coefficient taking account of local buckling of plates with cracks , 1990 .

[8]  M. Sh. Dyshel,et al.  Stability of a cracked cylindrical shell in tension , 1989 .

[9]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[10]  D. Shaw,et al.  Buckling behavior of a central cracked thin plate under tension , 1990 .

[11]  E. Riks,et al.  The buckling behavior of a central crack in a plate under tension , 1991 .

[12]  Eduardo N. Dvorkin,et al.  Our discrete-Kirchhoff and isoparametric shell elements for nonlinear analysis—An assessment , 1983 .

[13]  David Bushnell,et al.  Computerized analysis of shells-governing equations , 1984 .

[14]  J. B. Greenberg,et al.  Buckling of Edge Damaged, Cylindrical Composite Shells , 1989 .

[15]  M. S. El Naschie,et al.  A branching solution for the local buckling of a circumferentially cracked cylindrical shell , 1974 .

[16]  Mehdi Farshad,et al.  Design and analysis of shell structures , 1992 .

[17]  G. C. Sih,et al.  Methods of analysis and solutions of crack problems : recent developments in fracture mechanics : theory and methods of solving crack problems , 1973 .

[18]  Jaroslav Mackerle,et al.  Finite and boundary element analyses of shells— A bibliography (1990–1992) , 1993 .

[19]  S. H. Lo,et al.  Finite element implementation , 1996 .

[20]  Mehdi Farshad,et al.  Stability of Structures , 1994 .

[21]  B. P. Shastry,et al.  Stability of square plates with through transverse cracks , 1990 .