in the present work, the effect of fluid’s elasticity was investigated on the hydrodynamic instability of blasius flow. to determine the critical reynolds number as a function of the elasticity number, a two-dimensional linear temporal stability analysis was invoked. the viscoelastic fluid is assumed to obey the walters’ b fluid model for which base flow velocity profiles were fortunately avail...

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 article, the magneto-thermo-elastic problem of exponentially graded material (EGM) hollow rotating disk placed in uniform magnetic and temperature fields is considered. Exact solutions for stresses and perturbations of the magnetic field vector in EGM hollow rotating disk are determined using the infinitesimal theory of magneto-thermo-elasticity under plane stress. The material properti...

A formulation of the plane strain problem of the theory of elasticity in stresses, for simply connected domains, is carried out in terms of real functions within the frame of what is known as the boundary integral method. Special attention is devoted to the problem of determination of the arbitrary constants appearing in the solution, in view of work in progress where numerical techniques are u...

in this paper, eringen’s nonlocal elasticity and timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  the governing equations and the boundary conditions are derived using hamilton’s principle. a generalized differential quadrature method (gdqm) is utilized for solving the governing equations of non-uniform timoshenko nano-beam for pinned-pinned...

Purpose: This study aimed to analyze the fracture resistance of denture base resins relined with either a conventional rigid resin or a new resilient resin. Materials and Methods: Two types of test plates were fabricated by relining the base resin (Acron) with a conventional rigid resin (Tokuso Rebase, TR) or a newly developed relining resin (Tokuyama Rebase II, RII). The specimens were divided...

In this paper a one-dimensional analytical model for the mechanism of rock fracturing in hydrothermal regimes is described. The model is based upon the modern thermo-poro-elasticity theory and its two non-linear heat-like equations. On the boundary aquifer-caprock a buried thermomechanical source is supposed to be built up in terms of subsurface fluid-rock coupling dynamics. With this considera...