Thermo-Elasto-Plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. These tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. The power law modeling has been used for through-the-thickness variation of mechanical properties. von Mises yield criterion and Elas...

In this study an analytical method is developed to obtain the response of electro-magneto-thermo-elastic stress and perturbation of a magnetic field vector for a thick-walled spherical functionally graded piezoelectric material (FGPM). The hollow sphere, which is placed in a uniform magnetic field, is subjected to a temperature gradient, inner and outer pressures and a constant electric potenti...

We report the peculiar behavior of the oblique impacts of a single sphere on stationary like spheres arranged in a tetrahedral array. We compare the resulting kinematic coefficient of normal restitution to that in impacts on a single sphere attached to a thick plate and in binary impacts. The results provide detailed insight into the generation of ejecta in the saltation process.

Thermo-elastic analysis of a functionally graded hollow sphere is carried out and numerical solutions of displacement, stress and thermal fields are obtained using the Polynomial differential quadrature (PDQ) method. Material properties are assumed to be graded in the radial direction according to a power law function, ho...

Terahertz (THz) time-domain spectroscopy is carried out for micro/nanostructured periodic Au/dielectric sphere arrays on Si substrate. We find that the metal-insulator transition can be achieved in THz bandwidth via varying sample parameters such as the thickness of the Au shell and the diameter of the Au/dielectric sphere. The Au/polystyrene sphere arrays do not show metallic THz response when...

thermo-elasto-plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. these tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. the power law modeling has been used for through-the-thickness variation of mechanical properties. von mises yield criterion and elas...

We find the spatial variation of material parameters for pressurized cylinders and spheres composed of either an incompressible Hookean, neo-Hookean, or Mooney–Rivlin material so that during their axisymmetric deformations either the in-plane shear stress or the hoop stress has a desired spatial variation. It is shown that for a cylinder and a sphere made of an incompressible Hookean material, ...

We present a short and self-contained proof of Jin’s theorem about the piecewise syndeticity of difference sets which is entirely elementary, in the sense that no use is made of nonstandard analysis, ergodic theory, measure theory, ultrafilters, or other advanced tools. An explicit bound to the number of shifts that are needed to cover a thick set is provided. Precisely, we prove the following:...