A nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic functionally graded nanoplates
We are happy to announce that Dr. Thai Hoang Chien and colleagues recently published their work entitled "A nonlocal strain gradient isogeometric model for free vibration analysis of magneto-electro-elastic functionally graded nanoplates" in the Composite Structures.
In this study, a nonlocal strain gradient isogeometric model, which includes the higher-order shear deformation theory, nonlocal strain gradient theory and isogeometric analysis method, for free vibration analysis of functionally graded (FG) nanoplates made of magneto-electro-elastic (MEE) materials is the first time presented. The mechanism of reduction and increase in the stiffness of MEE-FG nanoplates are shown in the proposed model under the influence of two scale parameters. For simplicity of calculation, the material properties of the MEE-FG nanoplates are described by the power-law scheme. A weak form of governing equations of motion of the MEE-FG nanoplates is obtained by applying the principle of extended virtual displacement. The natural frequency of the MEE-FG nanoplates is evaluated through the change of power index, geometrical parameter, nonlocal parameter, strain gradient parameter, electric voltage and magnetic potential. The results obtained through nonlocal strain gradient theory (NSGT) are lower than those predicted by classical theory when the nonlocal parameter is larger than or equal to the strain gradient parameter. On the contrary, natural frequencies obtained by NSGT are higher than those estimated by classical theory as the nonlocal parameter is smaller than the strain gradient parameter.