In this study, the vibration behavior of functional graded (FG) circular and annular nanoplate embedded in Visco-Pasternak foundation and coupled with temperature change is studied. It is assumed that a uniform radial magnetic field acts on the top surface of the plate and the magnetic permeability coefficient of the plate along its thickness are assumed to vary according to the volume distribu...

The dynamical responses of railway track has been carried out by different ways. In this work, developing an analytical model for the ballasted which includes two rails connected to sleeper, a fast method calculated dynamic is presented. rail modelled as infinite beams posed on periodically supports are rested viscoelastic foundation. We consider equation in steady-state subjected moving loads....

We consider a differential quasivariational inequality for which we state and prove the continuous dependence of solution with respect to data. This convergence result allows us existence at least one optimal pair an associated control problem. Finally, illustrate our abstract results in study free boundary problem describes equilibrium viscoelastic body frictionless contact foundation made rig...

Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized contact stress. The existence in the case of a friction coefficient that is a graph, which describes the j...

Topological constraints, referred to as entanglements in the literature, dominate the viscoelastic behavior of high molecular weight polymeric liquids. To give a microscopic foundation of the phenomenological tube models which successfully describe this behavior, we have recently introduced a method for identifying the so-called primitive path mesh that characterizes the microscopic topological...