Hichem Bellifa

TL;DR: In this article, a new first-order shear deformation theory is developed for bending and dynamic behaviors of functionally graded plates, and the number of unknowns of this theory is the least one comparing with the traditional firstorder and the other higher order deformation theories.

TL;DR: In this article, a non-local zeroth-order shear deformation theory is developed for the nonlinear postbuckling behavior of nanoscale beams, in which the shear effect is considered in the axial displacement within the use of shear forces instead of rotational displacement.

TL;DR: In this article, an efficient and simple refined theory is proposed for buckling analysis of functionally graded plates by using a new displacement field which includes undetermined integral variables, with is even less than the first shear deformation theory (FSDT).

Abstract: The interest of this work is the analysis of the effect of porosity on the nonlinear thermal stability response of power law functionally graded beam with various boundary conditions. The modelling was done according to the Euler-Bernoulli beam model where the distribution of material properties is imitated polynomial function. The thermal loads are assumed to be not only uniform but linear as well non-linear and the temperature rises through the thickness direction. The effects of the porosity parameter, slenderness ratio and power law index on the thermal buckling of P-FG beam are discussed.

TL;DR: In this paper, a quasi-3D theory of shear deformation was proposed for thermomechanical bending analysis of functionally graded thick plates. But unlike high order theories (HSDT), this theory presents a new field of displacement that includes indeterminate integral variables.