Effect of Through Stationary Edge and Center Cracks on Static Buckling Strength of Thin Plates under Uniform Axial Compression

Document Type: Research Paper


Department of Mechanical Engineering, Pondicherry Engineering College


Thin plate structures are more widely used in many engineering applications as one of the structural members. Generally, buckling strength of thin shell structures is the ultimate load carrying capacity of these structures. The presence of cracks in a thin shell structure can considerably affect its load carrying capacity. Hence, in this work, static buckling strength of a thin square plate with a centre or edge  crack under axial compression has been studied using general purpose Finite Element Analysis software ANSYS. Sensitivity of static buckling load of a plate with a centre or a edge crack for crack length variation and its vertical and horizontal orientations have been investigated. Eigen buckling analysis is used to determine the static buckling strength of perfect and cracked thin plates. First, bifurcation buckling loads of a perfect thin plate with its mode shapes from FE eigen buckling analysis are compared with analytical solution for validating the FE models. From the analysis of the cracked thin plates, it is found that vertical cracks are more dominant than horizontal cracks in reducing buckling strength of the thin plates. Further, it is also found that as the crack length increases, buckling strength decreases.


[1] Suneel Kumar M., Alagusundaramoorthy P., Sundaravadivelu R., 2007, Ultimate strength of square plate with rectangular opening under axial compression, Journal of Naval Architecture and Marine Engineering 4(1): 15-26.

[2] Timoshenko S.P., Gere J.M., 1965, Theory of Elastic Stability, McGraw-Hill Publications, Second Edition.

[3] Brush Don O., Almroth Bo O., 1975, Buckling of Bars, Plates and Shells, McGraw-Hill, International Student Edition, Tokyo.

[4] Bushnell D., 1985, Computerized Buckling Analysis of Shells, Martinus Nijhoff Publishers, Dordrecht.

[5] Estekanchi H.E, Vafai A., 1999, On the buckling of cylindrical shells with through cracks under axial load, Thin-Walled Structures 35: 255-265.

[6] Satish Kumar Y.V., Paik J.K., 2004, Buckling analysis of cracked plate using hierarchical trigonometric functions, Thin-Walled Structures 42:687-700.

[7] Paik J.K., Satish Kumar Y.V., Lee J.M., 2005, Ultimate strength of cracked plate elements under axial compression or tension, Thin-Walled Structures 43: 237-272.

[8] Kacianauskas R., Stupak E., Stupak S., 2005, Application of adaptive finite elements for solving elastic plastic problem of SENB specimen, Mechanika 51(1): 18-22.

[9] Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt, 2002, Concepts and Applications of Finite Element Analysis, John Wiley & Sons Publications (Asia) PTE Ltd., Singapore, Fourth Edition.

[10] Brighenti R., 2005, Buckling of cracked thin plates under tension and compression, Thin-Walled Structures 43(2): 209-224.

[11] ANSYS user manual 11.0.