Analytical solution of cross- and angle-ply nano plates with strain gradient theory for linear vibrations and buckling. Issue 12 (17th May 2021)

• Record Type: Journal Article
• Authors: Cornacchia, F.; Fabbrocino, F.; Fantuzzi, N.; Luciano, R.; Penna, R.
• Is Part Of: Mechanics of advanced materials and structures. Volume 28:Issue 12(2021)
• Page Start: 1201
• Page End: 1215
• Publication Date: 2021-05-17
• Subjects: Stability analysis -- dynamic analysis -- orthotropic laminate -- nano structures -- non local elastic theory -- analytical modeling; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2019.1655613
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: Vibrations and buckling of Kirchhoff nano plates are investigated using second-order strain gradient theory. The Navier displacement field has been considered for two different sets of boundary conditions and stacking sequences. Different geometries and material properties for isotropic, orthotropic cross- and angle-ply laminates are considered, and numerical simulations are discussed in terms of plate aspect ratio and non local ratio. A comparison with the classical analytical solution is provided whenever possible for buckling loads and fundamental frequencies.