We employ the Airy stress function to derive analytical solutions for plane strain static deformations of a functionally graded (FG) hollow circular cylinder with Young’s modulus E and Poisson’s ratio v taken to be functions of the radius r . For E1 and v1 power law functions of r , and for E1 an exponential but v1 an affine function of r , we derive explicit expressions for stresses and displa...

We present a generalized Geertsma solution that can consider any number of finite-thickness layers in the subsurface whose mechanical properties are different from layer to layer. In addition, each be assumed either isotropic or anisotropic. The accuracy is validated against numerical reference solution. further extended by linear superposition framework enables response simulation due an arbit...

shrink fit process is a useful technique in order to introduce beneficial residual stress in compound pressure vessels. in this paper, the effects of geometrical tolerances on residual stresses have been studied for a compound shrink fitted pressure vessel, practically. three layers, which are designed based on an optimum nominal thickness and overlap dimensions and tolerances, have been fitted...

An analytically exact solution for the problem of low Mach number (i.e. incompressible) incident vorticity scattering at a hard to pressure release (Z = 0) wall transition is obtained using the Wiener-Hopf method. Harmonic vortical perturbations of inviscid linear shear flow are scattered at the wall transition, which results in a pressure-velocity field which is qualitatively different for low...

In this investigation, a mathematical model for studying oscillatory flow of blood in a stenosed artery under the influence of transverse magnetic field through porous medium has been developed. The equations of motion of blood flow are solved analytically. The analytical expressions for axial velocity, volumetric flow rate, pressure gradient, resistance to blood flow and shear stress have been...

abstract: the present study deals with the buckling analysis of the laminated composite truncated conical sandwich shells with flexible core subjected to combined axial compressive load and external pressure. higher order governing equations of the motion are presented for conical composite sandwich shells, where they are derived from the hamilton principle. then, by the use of improved higher-...