A Posteriori Estimates for the Shear Correction Factors in Multi‐layered Composite Cylinders

Abstract

A predictor‐corrector approach is presented for calculating the composite shear correction factors and analyzing multilayered composite cylinders. In the predictor phase a two‐dimensional first‐order shear deformation theory is used to predict the gross response characteristics of the cylinder (vibration frequencies, average through‐the‐thickness displacements, rotations, and transverse shear strain energy per unit area) as well as the in‐plane strains and stresses in the thickness direction. The three‐dimensional equilibrium equations and constitutive relations are then used to compute the transverse stresses and strains as well as the transverse shear factors, and they are also used to correct the predicted response quantities of the cylinder. For simply supported multilayered cylinders the response quantities obtained by using the proposed approach are shown to be in close agreement with three‐dimensional elasticity solutions for a wide range of lamination and geometric parameters. Also, the potential of the proposed approach for use in conjunction with large‐scale finite element models of composite cylinders is outlined.