In this research work, first, based on the three-dimensional elasticity theory and by means of the Generalized Differential Quadrature Method (GDQM), free vibration characteristics of functionally graded (FG) rectangular plates resting on Pasternak foundation are focused. The two-constituent functionally graded plate consists of ceramic and metal grading through the thickness. A three-parameter...

  Free vibration of sandwich plates with temperature dependent functionally graded (FG) face sheets in various thermal environments is investigated. The material properties of FG face sheets are assumed to be temperature-dependent and vary continuously through the thickness according to a power-law distribution in terms of the volume fractions of the constituents. Also, the material properties ...

This article presents Navier type closed-form solutions for static bending, elastic buckling and free vibration analysis of symmetric functionally graded (FG) sandwich beams using a hyperbolic shear deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are varied through the thickness according to the power law distribution. The present theory accounts fo...

The objective of this present numerical model is to investigate the effect of shape of stenosis on blood flow through an artery using power-law fluid model. Blood is modeled as power-law fluid in a uniform circular tube with an axially non-symmetric but radially symmetric stenosis. The expressions for dimensionless resistance to flow, wall shear stress and apparent viscosity have been obtained....

This paper deals with free vibration analysis of continuously graded fiber reinforced (CGFR) truncated conical shell based on third-order shear deformation theory (TSDT), by developing special power-law distributions. The orthotropic (CGFR) truncated conical shell are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickne...

This study investigated fluid and structural responses to pulsatile non-Newtonian blood flow through a stenosed artery, using ANSYS. The artery was modeled as an axis-symmetric stenosed vessel. The wall of the vessel was set to be isotropic and elastic. The blood behavior was described by the Power Law and Carreau non-Newtonian models, respectively. When compared to the Newtonian flow models, t...

We consider a system of PDE’s describing steady motions of an incompressible chemically reacting non-Newtonian fluid. The system of governing equations composes of the convection-diffusion equation for concentration and generalized Navier-Stokes equations where the generalized viscosity depends polynomially on the shear rate (the modulus of the symmetric part of the velocity gradient) and the c...

We revisit two-dimensional particle-hole symmetric sublattice localization problem, focusing on the origin of the observed singularities in the density of states r(E) at the band center E50. The most general system of this kind @R. Gade, Nucl. Phys. B 398, 499 ~1993!# exhibits critical behavior and has r(E) that diverges stronger than any integrable power law, while the special random vector po...

The nucleus of a Veronese variety is the intersection of all its osculating hyperplanes. Various authors have given necessary and sufficient conditions for the nucleus to be empty. We present an explicit formula for the dimension of this nucleus for arbitrary characteristic of the ground field. As a corollary, we obtain a dimension formula for that subspace in the t–th symmetric power of a fini...

We show how the superembedding formalism can be applied to construct manifestly kappasymmetric higher derivative corrections for the D9-brane. We also show that all correction terms appear at even powers of the fundamental length scale l. We explicitly construct the first potential correction, which corresponds to the kappa-symmetric version of the ∂4F 4, which one finds from the four-point amp...