Nonlocal analytical solution for multilayered composite shells

Abstract

Abstract In this work, an advanced nonlocal analytical formulation for the static analysis of composite shell structures is proposed. The governing equations are derived from the Principle of Virtual Displacement (PVD) [1] and are solved by the use of the Navier solution [2]. Layer-Wise models related to linear up to fourth order variations of the unknown variables in the thickness direction are treated. The modelization of multilayered structure materials takes into account the composite material properties and the nonlocal behavior based on the work of Eringen [3]. In order to take into account the nonlocality of the material, the Eringen’s stress-gradient model is employed [4]. The novelty and innovation of this work is related to the development of an advanced nonlocal analytical formulation for static analysis of composite shells structures by the use of stress-gradient model combined with Layer-Wise kinematics. The accuracy of the present analytical formulation is validate through various assessments. Isotropic, cross-ply composite and simply-supported shell structures are considered. Different lamination sequences and different shell aspect ratios are taken into account to generalize the obtained results. References [1] J.N. Reddy, An evaluation of equivalent-single-layer and layerwise theories of composite laminates, Composite Structures, 25 (1993) 21–35. [2] A. Alaimo, C. Orlando, S. Valvano, Analytical frequency response solution for composite plates embedding viscoelastic layers, Aerospace Science and Technology 92 (2019) 429–445. [3] A.C. Eringen, D.G.B. Edelen, On nonlocal elasticity, International Journal of Engineering Science, 10 (1972) 233–248. [4] J.N. Reddy, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science, 45 (2007) 288–307.