In the present paper, distributions of lateral deflections and in-plane normal and transverse shear stresses of circular/annular sandwich plates with orthotropic composite face sheets and auxetic (with negative Poisson’s ratio) cores are determined, for the first time, employing a zigzag theory whose results are corrected based on the three-dimensional theory of elasticity. The governing equations are developed based on the principle of minimum total potential energy and solved using a differential transform whose center is located at the outer radius of the plate. A comprehensive parametric study including evaluation of effects of various geometric and material parameters, lamination schemes, and boundary conditions is accomplished. Accuracy of the results is verified by results of the 3D theory of elasticity extracted from the ABAQUS code. Results reveal that the core auxeticity increases the rigidity of the soft core drastically and consequently, decreases the lateral deflection of the plate and moderates the interfacial jumps in the through-thickness distribution of the transverse shear stress, so that a semi-continuous parabolic distribution may be established. The core auxeticity may considerably reduce the maximum radial stresses of the face sheets and influence of the auxeticity is more remarkable for plates with more rigid constructions or boundary conditions.
