Buckling of Cracked Conical Frusta under Axial Compression

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Buckling of Cracked Conical Frusta under Axial Compression

Ali Dadrasi

Author Affiliations

¹ Department of Mechanics, Shahrood Branch, Islamic Azad University, Shahrood, IRAN

Res. J. Recent Sci., Volume 2, Issue (2), Pages 33-39, February,2 (2013)

Abstract

Presence of cracks or similar imperfections can considerably reduce the buckling load of a shell structure. In this paper, the buckling of thin conical frusta with cracks under axial loads has been studied. At first, a frustum without any imperfection has been analyzed. In continuation, sensitivity of the buckling load to the crack presence with different length and orientation has also been investigated. This procedure has been investigated on three types of frusta with different heights and constant semi-apical angles. Some effective parameters on buckling have been studied separately and the required data for analysis have been gained through experimental tests. The finite element ABAQUS software has been used for the numerical analyses.

References

Farshad M., Design and analysis of shell structures, Dordrecht, Kluwer (1992)
Shariati M., Fereidoon A. and Akbarpour A., Buckling Load Analysis of oblique Loaded Stainless Steel 316ti Cylindrical Shells with Elliptical Cutout, Res. J. Recent Sci., 1(2), 85-91 (2012)
Dadrasi A., An Investigation on Crashworthiness Design of Aluminium Columns with Damage Criteria, Res. J. Recent Sci.,1(7), 19-24 (2012)
El Naschie MS., Branching solution for local buckling of a circumferentially cracked cylindrical shell, Int J Mech Sci.,16, 689–97 (1974)
Barut A., Madenci A., Britt VO. and Starnes J.H., Buckling of a thin, tensionloaded, composite plate with an inclined crack, Eng Fract Mech., 58, 233–48 (1977)
Riks A., Rankin C.C. and Brogan F.A., The buckling of a central crack in a plate under tension, Eng Fract Mech, 26, 1023–42 (1992)
Chater E. and Hutchinson J.W., On the propagation of bulges and buckles, J Appl Mech, 51, 1–9 (1984)
Starnes J.H. and Rose ChA., A nonlinear response of thin cylindrical shells with longitudinal cracks and subjected to internal pressure and axial compression loads. Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, 2213–23 (1977)
Starnes J.H. and Rose ChA, Buckling and stable tearing responses of unstiffened aluminum shells with long cracks,AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference. Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference and exhibit and AIAA/ASME/AHS adaptive structures forum, 2389–402 (1998)
Estekanchi H.E. and Vafai A., On the buckling of cylindrical shells with through cracks under axial load, Thin Wall Struct, 35(4), 255–74 (1999)
Estekanchi H.E., Vafai A. and Kheradmandnia K., Finite element buckling analysis of cracked cylindrical shells under torsion, Asian J Civ Eng, 3(2), 73–84 (2002)
Vaziri A., On the buckling of cracked composite cylindrical shells under axial compression, Composite Structures, 80, 152–158, (2007)
Postlethwaite H.E. and Mills B., Use of collapsible structural elements as impact isolators with special reference to automotive applications, J Strain Anal, , 58–73 (1970)
Mamalis A.G. and Johnson W., The quasi-static crumpling of thin walled circular cylinders and frusta under axial compression, Int J Mech Sci, 25, 713–32 (1983)
Mamalis A.G., Johnson W. and Viegelahn G.L., The crumpling of thin-walled tubes and frusta under axial compression at elevated strain rates, Int J Mech Sci, 26, 537–47 (1984)
ABAQUS 6.4 PR11 user’s manual
Gupta N.K., Mohamed Sherif N. and Velmurugan R., A study on buckling of thin conical frusta under axial loads, Thin-Walled Structures, 44, 986–996 (2006)
Magarajan U., Thundil karuppa Raj R. and Elango T., Numerical Study on Heat Transfer of Internal Combustion Engine Cooling by Extended Fins Using CFD, Res. J. Recent Sci., 1(6), 32-37 (2012)
Purkar T. Sanjay and Pathak S., Aspect of Finite Element Analysis Methods for Prediction of Fatigue Crack Growth Rate, Res. J. Recent Sci.,1(2), 85-91 (2012)
Krishan K. and Aggarwal M.L., A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools, Res. J. Recent Sci., 1(2), 92-96 (2012)

[ref1] Farshad M., Design and analysis of shell structures, Dordrecht, Kluwer (1992)

[ref2] Shariati M., Fereidoon A. and Akbarpour A., Buckling Load Analysis of oblique Loaded Stainless Steel 316ti Cylindrical Shells with Elliptical Cutout, Res. J. Recent Sci., 1(2), 85-91 (2012)

[ref3] Dadrasi A., An Investigation on Crashworthiness Design of Aluminium Columns with Damage Criteria, Res. J. Recent Sci.,1(7), 19-24 (2012)

[ref4] El Naschie MS., Branching solution for local buckling of a circumferentially cracked cylindrical shell, Int J Mech Sci.,16, 689–97 (1974)

[ref5] Barut A., Madenci A., Britt VO. and Starnes J.H., Buckling of a thin, tensionloaded, composite plate with an inclined crack, Eng Fract Mech., 58, 233–48 (1977)

[ref6] Riks A., Rankin C.C. and Brogan F.A., The buckling of a central crack in a plate under tension, Eng Fract Mech, 26, 1023–42 (1992)

[ref7] Chater E. and Hutchinson J.W., On the propagation of bulges and buckles, J Appl Mech, 51, 1–9 (1984)

[ref8] Starnes J.H. and Rose ChA., A nonlinear response of thin cylindrical shells with longitudinal cracks and subjected to internal pressure and axial compression loads. Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, 2213–23 (1977)

[ref9] Starnes J.H. and Rose ChA, Buckling and stable tearing responses of unstiffened aluminum shells with long cracks,AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference. Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference and exhibit and AIAA/ASME/AHS adaptive structures forum, 2389–402 (1998)

[ref10] Estekanchi H.E. and Vafai A., On the buckling of cylindrical shells with through cracks under axial load, Thin Wall Struct, 35(4), 255–74 (1999)

[ref11] Estekanchi H.E., Vafai A. and Kheradmandnia K., Finite element buckling analysis of cracked cylindrical shells under torsion, Asian J Civ Eng, 3(2), 73–84 (2002)

[ref12] Vaziri A., On the buckling of cracked composite cylindrical shells under axial compression, Composite Structures, 80, 152–158, (2007)

[ref13] Postlethwaite H.E. and Mills B., Use of collapsible structural elements as impact isolators with special reference to automotive applications, J Strain Anal, , 58–73 (1970)

[ref14] Mamalis A.G. and Johnson W., The quasi-static crumpling of thin walled circular cylinders and frusta under axial compression, Int J Mech Sci, 25, 713–32 (1983)

[ref15] Mamalis A.G., Johnson W. and Viegelahn G.L., The crumpling of thin-walled tubes and frusta under axial compression at elevated strain rates, Int J Mech Sci, 26, 537–47 (1984)

[ref16] ABAQUS 6.4 PR11 user’s manual

[ref17] Gupta N.K., Mohamed Sherif N. and Velmurugan R., A study on buckling of thin conical frusta under axial loads, Thin-Walled Structures, 44, 986–996 (2006)

[ref18] Magarajan U., Thundil karuppa Raj R. and Elango T., Numerical Study on Heat Transfer of Internal Combustion Engine Cooling by Extended Fins Using CFD, Res. J. Recent Sci., 1(6), 32-37 (2012)

[ref19] Purkar T. Sanjay and Pathak S., Aspect of Finite Element Analysis Methods for Prediction of Fatigue Crack Growth Rate, Res. J. Recent Sci.,1(2), 85-91 (2012)

[ref20] Krishan K. and Aggarwal M.L., A Finite Element Approach for Analysis of a Multi Leaf Spring using CAE Tools, Res. J. Recent Sci., 1(2), 92-96 (2012)