A non-polynomial framework for describing the bending response of a multi-scale composite initially stressed disk

Abstract

The present study deals with axisymmetric circular/annular disks made of three-phase multi-scale hybrid laminated nanocomposite under distributed static loadings. The structure is placed on Winkler-Pasternak substrate with friction effects. Initial stress is also considered in the composite structure. The mathematical model is prepared using three-dimensional elasticity theory (3D-elasticity theory). The derived differential equations are solved by employing the semi-analytical method of state-space-based differential quadrature method (SS-DQM) to obtain the stress and displacement fields of the composite structure. In the numerical analyses, a comprehensive parametric study is performed to observe the effects of some geometrical and physical parameters on bending characteristics of composite circular/annular disks.

Keywords:

• Friction force
• initial stress
• linear and torsional gradient elastic foundation
• 3D-elasticity theory
• bending
• composite circular/annular plates

Additional information

Funding

This work was supported by Natural Science Foundation of Hunan Province (2022JJ50170). The authors extend their appreciation to the Research Center for Advanced Materials Science (RCAMS), King Khalid University, Saudi Arabia, for funding this work under grant number KKU/RCAMS/G011-21