Buckling of steel thin-walled semi-spherical shells with square cutout due to axial compressive loads has been studied by numerical simulations, and results were compared with those from the experiments. Three vertical compression loadings were applied to specimens using the following methods: a rigid flat plate and a rigid bar with circular and spherical cross sections. The main aim of this study is to determine the influence of the cut out size-to-location (a/H) and the thickness-todiameter (t/D) on the mean collapse load of the semi-spherical shells. The finite element models were analyzed using ABAQUS nonlinear buckling analysis and the experimental tests were performed using an INSTRON 8802 servo-hydraulic machine. Finally, the different results obtained using the two analysis methods were compared. The comparison reveals that experimental and numerical nonlinear model results match closely with each other.
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References
D. P. Updike, “On the large deformation of a rigid-plastic spherical shell compressed by a rigid plate,” J. Manuf. Sci. Eng., 94, No. 3, 949–955 (1972).
R. Kitching, R. Houston, and W. Johnson, “A theoretical and experimental study of hemispherical shells subjected to axial loads between flat plates,” Int. J. Mech. Sci., 17, 693–703 (1975).
J. G. De Oliveira and T. Wierzbicki, “Crushing analysis of rotationally symmetric plastic shells,” J. Strain Anal. Eng. Des., 17, No. 4, 229–236 (1982).
A. N. Kinkead, A. Jennings, J. Newell, and J. C. Leinster, “Spherical shells in inelastic collision with a rigid wall – tentative analysis and recent quasi static testing,” J. Strain Anal. Eng. Des., 29, No. 1, 17–41 (1994).
N. K. Gupta, G. L. Easwara Prasad, and S. K. Gupta, “Axial compression of metallic spherical shells between rigid plates,” Thin-Walled Struct., 34, No. 1, 21–41 (1999).
N. K. Gupta and Venkatesh, “Experimental and numerical studies of dynamic axial compression of thin walled spherical shells,” Int. J. Impact Eng., 30, No. 8-9, 1225–1240 (2004).
M. Shariati and M. Mahdizadeh Rokhi, “Numerical and experimental investigations on buckling of steel cylindrical shells with elliptical cutout subject to axial compression,” Thin-Walled Struct., 46, No. 11, 1251–1261 (2008).
M. Shariati and M. Mahdizadeh Rokhi, “Investigation of buckling of steel cylindrical shells with elliptical cutout under bending moment,” Int. Rev. Mech. Eng., 3, No. 1, 7–15 (2009).
P. K. Gupta and N. K. Gupta, “A study of axial compression of metallic hemispherical domes,” J. Mater. Process. Technol., 209, No. 4, 2175–2179 (2009).
M. Shariati and M. Mahdizadeh Rokhi, “Buckling of steel cylindrical shells with elliptical cutout,” Int. J. Steel Struct., 10, No. 2, 193–205 (2010).
M. Shariati and M. Mahdizadeh Rokhi, “Experimental and numerical study of buckling of steel cylindrical shells with quasi elliptical cutout subjected to axial compression load,” Amirkabir J. Mech. Eng., 42, No. 1, pp. 1–8 (2010).
M. Shariati and H. R. Allahbakhsh, “Numerical and experimental investigations on the buckling of steel semi-spherical shells under various loadings,” Thin-Walled Struct., 48, No. 8, 620–628 (2010).
ASTM A370-05. Standard Test Methods and Definitions for Mechanical Testing of Steel Products.
J. Lee, H. T. Nguyen, and S. E. Kim, “Buckling and post buckling of thin-walled composite columns with intermediate-stiffened open cross-section under axial compression,” Int. J. Steel Struct., 9, No. 3, 175–184 (2009).
ABAQUS 6.7 PR11 User’s Manual.
C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, Addison Wesley, New York (1999).
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Translated from Problemy Prochnosti, No. 4, pp. 109 – 122, July – August, 2014.
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Torabi, H., Shariati, M. Buckling Analysis of Steel Semi-Spherical Shells with Square Cutout Under Axial Compression. Strength Mater 46, 531–542 (2014). https://doi.org/10.1007/s11223-014-9579-x
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DOI: https://doi.org/10.1007/s11223-014-9579-x