Abstract

The paper presents the non-polynomial framework for static bending characteristics corresponded with three-phase multi-scale hybrid laminated nanocomposite (MHLN) reinforced plates under initial stresses on the basis of the three-dimensional elasticity theory (3D-elasticity theory). By considering horizontal friction force, the Pasternak type’s two parameters foundation is developed. The multilayer structure with three, five, as well as seven layers are formulated by utilizing compatibility conditions. Composite plates’ bending behavior by considering simply-supported boundary conditions is analyzed with the aid of the state-space-based analytical method (SS-AM). The material properties associated with a multi-scale composite are obtained employing fiber micromechanics in addition to Halpin–Tsai relations. The carbon nanotubes (CNTs) are considered to be uniformly dispersed and randomly oriented in the matrix of epoxy resin. Then, a parametric study is carried out to exhibit the impacts of different kinds of multi-layer plates, various friction forces, stacking sequence, and various initial stresses on the static bending response related to composite plates.

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