Hygrothermal analysis of exponentially graded rectangular plates

Abstract

The static characteristics of an exponentially inhomogeneous plate under a transverse uniform loading and exposed to hygrothermal conditions are studied. The elastic coefficients, thermal coefficient and moisture expansion coefficient of the plate are assumed to be exponentially graded in the thickness direction. The trigonometric shear deformation theory solution is presented. In this solution, the initial terms of a power series through the plate thickness are used for the displacements in addition to other trigonometric terms. The effect due to transverse shear deformations is included. A number of examples will be solved to illustrate the numerical results concerning bending response of homogeneous and exponentially graded rectangular plates subjected to hygrothermomechanical effects. The influences of temperature, moisture concentration, transverse shear deformation, plate aspect ratio, and the exponentially graded parameter on the bending response are investigated.

Edge stresses analysis in laminated thick sandwich cylinder subjected to distributed hygrothermal loading

“…The shell rigidities in the LWT are defined in (19), (20), and (21). By substituting from (3) and (4), these rigidities which are defined in (19) could be obtained as…”

“…Brischetto [2,20] used refined two-dimensional models to analyze the thermal and hygrothermal loading effects in the multilayered composite plates and shells. Zenkour [21] studied the static characteristics of an exponentially inhomogeneous rectangular plate under a transverse uniform loading, which exposed to hygrothermal conditions. Zenkour et al [22] used a unified shear deformation plate theory to investigate the effect of hygrothermal conditions on the antisymmetric cross-ply laminates.…”

Free vibration analysis of functionally graded sandwich flat panel

“…Neves et al [7] derived a higher order shear deformation theory for analysing static, free vibration and buckling behaviour of isotropic and sandwich functionally graded plates using a meshless technique. Zenkour [8] introduced the effects of transverse shear and transverse normal strains for the bending analysis of functionally graded sandwich plates using a simple four-unknown shear and normal deformations theory. Tornabene et al [9] utilized higher-order equivalent single layer theories for free vibrations of free-form doubly-curved FG shells.…”

On the Behavior of a Rotating Functionally Graded Hybrid Cylindrical Shell with Imperfect Bonding Subjected to Hygrothermal Condition

“…Thus, the deformation and stress analysis of different FGMs and composite structures subjected to moisture and temperature is important for many researchers. The hygrothermal analysis of FGM plates is presented by Zenkour [12,13]. Lee and Kim [14] analyzed the post buckling behaviors of FGM plate in hygrothermal environments.…”