Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on a complex plane. We apply these general viscoelastic bounds to a particular case of a porous solid saturated with a Newtonian fluid. Our analysis shows that for po...

We develop a rapid and accurate contour method for the solution of time-fractional PDEs. The inverts Laplace transform via an optimised stable quadrature rule, suitable infinite-dimensional operators, whose error decreases like $\exp(-cN/\log(N))$ $N$ points. is parallisable, avoids having to resolve singularities as $t\downarrow 0$, large memory consumption that can be challenge time-stepping ...

periodontal ligament is a thin layer of soft tissue that connects root of a tooth to the surrounding alveolar bone. these ligaments play an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. the majority of such soft tissues exhibit as viscoelastic bodies or have a time-dependent behavior. due to the viscoelastic behavior of the periodontal ...

the purpose of this research is to numerically investigate the interaction of pulsatile flow of blood with an axisymmetric artery in various percentages of stenosis. the carreau non-newtonian model and the generalized maxwell rheological model were used to model the blood fluid and the viscoelastic wall of arterial, respectively. the innovation of the present research is modeling of viscoelasti...

The effect of the linear and nonlinear properties beam's material on dynamic behavior a structure under different kinematic influences is investigated. With an account for viscoelastic material, problem consideration reduced to system small-order or integro-differential equations by selection coordinate functions satisfying geometric boundary conditions; solved averaging method using quadrature...

The last decade has witnessed the emergence of magneto-active polymers (MAPs) as one most advanced multi-functional soft composites. Depending on magnetisation mechanisms and responsive behaviour, MAPs are mainly classified hard magnetic MAPs. Polymeric materials widely treated fully incompressible solids that require special numerical treatment to solve associated boundary value problem. Furth...

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....

the effect of temperature on the viscoelastic behavior of chicken meat frankfurters was assessed by creep recovery tests. compression creep-recovery tests were performed at room temperature (20°c) and refrigeration (5°c) on samples of cylindrical shape. the viscoelastic behavior of samples was characterized based on the parameters of the four-element burgers model. during the compression phase,...

We develop a model of an ice shelf-ice stream system as a viscoelastic beam partially supported by an elastic foundation. When bedrock near the grounding line acts as a fulcrum, leverage from the ice shelf dropping at low tide can cause significant ð 1 cmÞ uplift in the first few kilometers of grounded ice. This uplift and the corresponding depression at high tide lead to basal pressure variati...