Abstract

Abstract This paper deals with buckling of anti-symmetric cross ply, simply supported rectangular flat plates under shear loads. The effects of the Young's moduli ratios and the number of layers for these plates which exhibit bending-stretching coupling are examined. The linearized equilibrium and compatibility differential equations for buckling are solved, using the Galerkin procedure, by assuming a double sine series for the out-of-plane displacement. Both the symmetric and anti-symmetric buckling modes are considered. The asymmetric nature of the initial post buckling problem is demonstrated by the existence of a non-zero cubic term of the potential energy within the context of Koiter's theory of elastic stability.

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