present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (fg) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. the plate is coupled by an elastic medium which is simulated as a winkler- pasternak foundation with gradient coefficients in the radial and circumferential...

abstract: a time domain semi-analytical solution to study thermoelastic creep behavior of  functionally graded rotating axisymmetric disks with variable thickness is presented. the rate type governing differential equations for the considered structure are derived and analytically solved. to solve these  equations, the disk is divided into some virtual sub-domains. general solution of  equilibr...

We apply the canonical perturbation theory to the semi–quantal hamiltonian of the SU(3) shell model. Then, we use the Einstein–Brillowin–Keller quantization rule to obtain an analytical semi–quantal formula for the energy levels, which is the usual semi–classical one plus quantum corrections. Finally, a test on the numerical accuracy of the semiclassical approximation and of its quantum correct...

in this paper, a finite element model is developed for the fully hydro-mechanical analysis of hydraulic fracturing in partially saturated porous media. the model is derived from the framework of generalized biot theory. the fracture propagation is governed by a cohesive fracture model. the flow within the fracture zone is modeled by the lubrication equation. the displacement of solid phase, and...

Abstract A second-order closed-form semi-analytical solution of the main problem artificial satellite theory ( $$J_2$$ J 2 contribution) consistent with Draper Semi-analytic Satellite Theory (DSST) is presented. This paper aims to improve computational speed numerical-b...

This article uses two separate approaches to find reliable and estimated solutions for the weakly nonlinear shallow-water wave model, which explains these waves are spreading in a thin dispersive medium. Exact achieved by utilizing an expanded tanh expansion Adomian decomposition (ADM.). We also evaluate demonstrate how closely they are; all convincing persuasive partial differential equations.