Bending, buckling, and forced vibration analyses of nonlocal nanocomposite microplate using TSDT considering MEE properties dependent to various volume fractions of CoFe2O4-BaTiO3

Abstract

In this article, the bending, buckling, free and forced vibration behavior of a nonlocal nanocomposite microplate using the third order shear deformation theory (TSDT) is presented. The magneto-electro-elastic (MEE) properties are dependent on various volume fractions of CoFe 2 O 4 -BaTiO 3 . According to Maxwell's equations and Hamilton's principle, the governing differential equations are derived. These equations are discretized by using Navier's method for an MEE nanocomposite Reddy plate. The numerical results show the influences of elastic foundation parameters such as aspect ratio, length to thickness ratio, electric and magnetic fields and various volume fractions of CoFe 2 O 4 -BaTiO 3 on deflection, critical buckling load and natural frequency. The natural frequency and critical buckling load increases with the increasing volume fraction of CoFe 2 O 4 -BaTiO 3 , also the amplitude vibration decreases with an increase in the volume fraction. This model can be used for various nanocomposite structures. Also, a series of new experiments are recommended for future work.Keywords: bending and buckling analysis, free and forced vibration analysis, nonlocal nanocomposite microplate, various volume fractions of CoFe 2 O 4 -BaTiO 3

Critical Temperatures for Vibrations and Buckling of Magneto-Electro-Elastic Nonlocal Strain Gradient Plates

“…In [52] the focus is on free vibration of laminated circular piezoelectric plates and discs using the weak form of the equations of motion. In [53] using the third order shear deformation plate theory, the bending, buckling, free and forced vibration behavior of a nonlocal composite microplate is analyzed. Functionally graded microplates using Kirchhoff plate's theory and straing gradient theory with only one length scale parameter are studied in [54].…”

Mixed finite elements for nonlocal elastic multilayered composite plate refined theories

“…As regard modelling of plates, nonlocal Kirchhoff and Mindlin theories were formulated by Lu et al [11] whereas the nonlocal third order shear deformation plate theory was proposed by Aghababei and Reddy [12]. Starting from these pioneering works, nonlocal plate theories have been applied to multilayered [13,14] and smart plates [15][16][17][18]. The proposed two-dimensional theories for multilayered plates are usually formulated via the equivalent single layer (ESL) approach, which is not able to capture accurately the structural response characteristics associated with the variability in the material properties along the plate thickness.…”