the problem of several finite moving cracks in a functionally graded material is solved by dislocation technique under the condition of anti-plane deformation. by using the fourier transform the stress fields are obtained for a functionallygraded strip containing a screw dislocation. the stress components reveal the familiar cauchy singularity at thelocation of dislocation. the solution is empl...

   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...

the the main objective of this research paper is to present 3-d elasticity solution for free vibration analysis of elastically supported continuously graded carbon nanotube-reinforced (cgcntr) annular plates. the volume fractions of oriented, straight single-walled carbon nanotubes (swcnts) are assumed to be graded in the thickness direction. an equivalent continuum model based on the eshelby-m...

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...