The main purpose of the present investigation is to analyze more comprehensively the size-dependent nonlinear free vibration response of multilayer functionally graded graphene platelet-reinforced composite (GPLRC) nanobeams. As a consequence, both of the hardening stiffness and softening stiffness of size effect are taken into consideration by implementation of the nonlocal str...

Background: A theoretical study was performed of mode II delamination in a multilayered functionally graded beam configuration with considering the material non-linearity. Methods: The fracture was analysed by the J-integral approach. Two laws (quadratic and exponential) for variation of the modulus of elasticity along the beam height were applied. The J-integral closed form non-linear analytic...

in this paper, stress and displacement fields of functionally graded (fg) nanocomposite cylinders reinforced by carbon nanotubes (cnts) subjected to internal pressure and in thermal environment are investigated by finite element method. the nanocomposite cylinders are combinations of single-walled carbon nanotubes (swcnts) and isotropic matrix. material properties are estimated by a micro mecha...

This paper is devoted to study a problem of plane waves reflection at a traction-free surface of a pre-stressed functionally graded piezoelectric material (FGPM). The effects of initial stress and material gradient on the reflection of plane waves are studied in this paper. Secular equation has been derived analytically for the pre-stressed FGPM half-space and used to show the existence of two ...

Abstract The first-order shear deformation theory (FSDT) was used to explore the natural frequency response of functionally graded piezoelectric plates subjected static electrical and mechanical strain in this present study. A monomorph model for a plate with material properties that change according sigmoid law respect thickness has been considered. three-dimensional finite element free tetrah...

Functionally graded materials, as a branch of new materials, have attracted increasing attention in recent years. A survey in the literature reveals the existence of wealth investigations on analysis of functionally graded material beams. Among them, Kang and Lee [1] presented explicit expressions for deflection and rotation of an FGM cantilever beam subjected to an end moment. Considering the ...