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Plastic Buckling of SSSS Thin Rectangular Plates Subjected to Uniaxial Compression Using Taylor-Maclaurin Shape Function

D O Onwuka1, O M Ibearugbulem1, and U G Eziefula2
1. Department of Civil Engineering, Federal University of Technology, Owerri, Nigeria
2. School of Engineering Technology, Imo State Polytechnic, Umuagwo, Nigeria

Abstract—In this paper, a solution for the plastic buckling of a thin rectangular isotropic plate with four simply supported edges under uniform in-plane compression is presented. The plastic buckling equation was derived using a deformation theory of plasticity and a work principle. The plate analysis was carried out through a theoretical formulation based on Taylor-Maclaurin series and application of energy method. The approximate shape function for the plate boundary conditions using the Taylor-Maclaurin series was truncated at the fifth term. The shape function was substituted into the plastic buckling equation and the critical plastic buckling load was obtained. The plate buckling coefficient was determined for aspect ratios within the range of 0.1 and 1.0 at increments of 0.1. The results were compared with solutions from previous studies and the average percentage difference was 0.091%. This difference demonstrates that the Taylor- Maclaurin series shape function is a very good approximation of the exact values for the displacement function of the deformed SSSS plate. 

Index Terms—critical buckling load, deformation plasticity theory, displacement function, in-plane compression, taylor-maclaurin series, thin plate

Cite: D O Onwuka, O M Ibearugbulem, and U G Eziefula, "Plastic Buckling of SSSS Thin Rectangular Plates Subjected to Uniaxial Compression Using Taylor-Maclaurin Shape Function," International Journal of Structural and Civil Engineering Research, Vol. 2, No. 4, pp. 168-174, November 2013.