Dynamic analysis of functionally graded plates using the hybrid Fourier-Laplace transform under thermomechanical loading

A quadrilateral shallow shell element based on the third-order theory for functionally graded plates and shells and the inaccuracy of rule of mixtures

“…As an example, a comparison of the Young's modulus of Al/SiC composite predicted by the ROM with the experimental results of Bhattacharyya et al (2007) is presented in Table 1, which shows an error of 38% in the ROM for a ceramic volume fraction of 40%. Still, many studies continue to use the ROM for modeling FGM structures (Reddy, 2000;Woo and Meguid, 2001;Sofiyev, 2003;Croce and Venini, 2004;Patel et al, 2005;Abrate, 2006;Zenkour, 2006;Pradyumna and Bandyopadhyay, 2008;Han et al, 2009;Tornabene et al, 2009;Akbarzadeh et al, 2011;Hamidi et al, 2012;Viola et al, 2012;Qu et al, 2013;Ebrahimi and Najafizadeh, 2013;Thai and Choi, 2013;Thai and Kim, 2013).…”

Nonlinear thermo-inertial instability of functionally graded shape memory alloy sandwich plates

“…In addition extensive research studies on stability and dynamic analysis of stationary composite and FG structures have been conducted [12][13][14][15][16][17][18][19][20]. Akbarzadeh et al [14,17] theoretically studied the transient thermoelastic responses of thick-and thin-walled FG cylinders and plates.…”

“…Akbarzadeh et al [14,17] theoretically studied the transient thermoelastic responses of thick-and thin-walled FG cylinders and plates. The buckling behavior of a thick FG plate was studied by Bateni et al [20] based on the refined plate theory.…”

Thermo-electromechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads

“…For comparison purposes, numerical results were also carried out. With this regard, Akbarzadeh et al [10] used the hybrid Fourier-Laplace transform method to evaluate dynamic response of a simply supported functionally graded rectangular plate subjected to a lateral thermo-mechanical loading. Using the theory of electro-thermo-elasticity, Dai et al [11] obtained the analytical solution of FGPM hollow cylinder rotating about its axis at a constant angular velocity.…”