A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

In this paper, an exact analytical solution for free vibration of rotating bi-layered cylindrical shell composed of two independent functionally graded layers was presented. The thicknesses of the shell layers were assumed to be equal and constant. The material properties of the constituents of bi-layered FGM cylindrical shell were graded in the thickness direction of the layers of the shell ac...

the effect of axial deformation of shell particles on the dynamic instability (flutter) of cantilevered cylindrical shells made of functionally graded materials (fgm) under an end axial follower force is addressed. to this end, at first, results for free vibration of fgm cylindrical shells were verified with previous outcomes and they were in very good agreement. then, the effect of axial defor...

in many cases, a torsional shaft may be a thick-walled radially inhomogeneous cylindrical object. the hollow shafts made of functionally graded materials (fgms) are such kind of compositions which were studied in this paper. cylindrical fg shafts are composed of ceramic and metallic parts with power function distribution across the radial direction. the ceramic phase is isotropic elastic and th...

In this study, torsional wave propagation is investigated in a rod that are made of one and two dimensional functionally graded material. Firstly, the governing equations of the wave propagation in the functionally graded cylinder derived in polar coordinate. Secondly, finite difference method is used to discretize the equations. The Von Neumann stability approach is used to obtain the time ste...

Abstract In this work, the state -space nonlocal strain gradient theory is used for vibration analysis of magneto thermo piezoelectric functionally graded material (FGM) nanobeam. An FGM constituent properties stated by using power law relations. The refined higher order beam and Hamilton’s principle have been to obtain motion equations. Besides, governing equations nanobeam are extracted devel...

Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a halfspace (x2 > 0) occupied by a special Functionally Graded Material made of an hexagonal (6mm) piezoelectric crystal for which the elastic stiffness c44, the piezoelectric constant e15, the dielectric constant ǫ11, and the mass density, all vary proportionally to the ...