Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate

Analytical solution of the dynamic behavior of non-homogenous orthotropic cylindrical shells on elastic foundations under moving loads

“…Substitution of expressions (20) and (21) in (23)- (26), and solution of the resulting system leads to the following expressions for the constants C i (i = 1, 2, 3, 4),…”

“…The non-homogeneous function is an exponential function and is considered in the following form [26]:…”

“…Including the effect of the non-homogeneity and orthotropy of the materials and elastic foundations complicates the solution of the stability and vibration problems considerably. Some recent works on the static and dynamic problems of non-homogeneous orthotropic shell structures subjected to different loads (except moving loads) without elastic foundations, due to, El-Naggar et al [22], Ding et al [23], Lal [24], Iesan and Quintanilla [25], Ootao and Tanigawa [26], Sofiyev et al [27], and with elastic foundations, due to, Nath and Jain [28], Paliwal and Singh [29], Paliwal and Pandey [30], Fok [31], Sofiyev et al [32], Sheng and Wang [33], Sofiyev et al [34], Shen [35,36] are worth mentioning.…”

A sampling surfaces method and its implementation for 3D thermal stress analysis of functionally graded plates

“…They studied the static and transient thermoelastic problems for FG simply supported plates with the material properties presented by Taylor series expansions through the thickness coordinate. Ootao and his coauthors [15][16][17] obtained the 3D exact solutions for the transient thermoelastic response of FG strips and rectangular plates with simply supported edges under nonuniform heating on outer surfaces. The original approach to analytical solutions for the FG beams and plates was developed in contributions [18,19].…”

Combined effects of heterogeneity and non-linearity on the critical time parameters of orthotropic conical shells

“…In various technological situations are demanding that the heterogeneity of orthotropic materials should be taken into account for the analysis of structural elements. The limited studies available on the behaviors of orthotropic structures with variable material properties [13][14][15][16]. Recently, several studies on the linear and non-linear buckling and vibration problems of functionally graded or heterogeneous composite shells have been published in the literature [17][18][19][20][21][22][23][24][25][26][27][28][29].…”