Thermal buckling predictions of three types of high-order theories for the heterogeneous orthotropic plates, using the new version of DQM

Biaxial thermo-mechanical buckling of orthotropic auxetic FGM plates with temperature and moisture dependent material properties on elastic foundations

“…From the practical point of view, the functionally graded orthotropic plate may be constructed from a large number (NL) of perfectly bonded thin orthotropic layers with gradually varying material properties [8][9][10][11][12]. Fig.…”

“…This phenomenon may significantly affect the local and even global behaviors (e.g., buckling strength [2]) of the structure. The discontinuity in the material properties may be resolved through using a large number of perfectly bonded thin orthotropic (composite) layers with slightly varying material properties [3][4][5][6][7][8][9][10]. Therefore, the resulting plate may be considered as an orthotropic functionally graded plate.…”

Free vibration analysis of micro-magneto-electro-elastic cylindrical sandwich panel considering functionally graded carbon nanotube–reinforced nanocomposite face sheets, various circuit boundary conditions, and temperature-dependent material properties using high-order sandwich panel theory and modified strain gradient theory

“…By considering high-order theory, Sadeghpour et al (2016) considered the free vibration response of a debonded curved sandwich beam using Lagrange’s principle and the Rayleigh–Ritz method. Mansouri and Shariyat (2014) used the new version of differential quadrature method (DQM) to study thermal buckling analysis of the heterogeneous orthotropic plates. Sayyad and Ghugal (2015) reviewed recent papers on the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates.…”

Thermal Buckling Analysis of Functionally Graded Circular Plate Resting on the Pasternak Elastic Foundation via the Differential Transform Method

“…By substituting Eqs. (13)(14)(15)(16) into Eq. (19), setting the resultant expression into the expression of the total potential energy function, Eq.…”

“…They obtained the governing equations via exploiting the minimum total potential energy method. Mansouri and Shariat [13] predicted the thermal buckling response of heterogeneous orthotropic plates based on the high-order theories. They employed a new version of the DQM (Differential Quadrature Method) to solve the governing differential equations.…”