Abstract We present models for convection in a mixture of viscous fluids when the layer is heated from below and simultaneously pointwise volume concentration one heavier below. This configuration produces problem competitive double diffusion since heating promotes instability, but greater density fluid stabilizing. The are linear type which may contain Kelvin–Voigt terms, gradients due to appe...

Reduced order models employing the Lagrange and POD reduced basis methods in numerical approximation and feedback control of systems are presented and numerically tested. The system under consideration is a thin cylindrical shell with surface-mounted piezoceramic actua-tors. Donnell-Mushtari equations, modiied to include Kelvin-Voigt damping, are used to model the system dynamics. Basis functio...

In this study, a realistic model for dynamic instability of embedded single-walled nanotubes (SWCNTs) conveying pulsating fluid is presented considering the viscoelastic property of the nanotubes using Kelvin–Voigt model. SWCNTs are placed in longitudinal magnetic fields and modeled by sinusoidal shear deformation beam theory (SSDBT) as well as modified couple stress theory. The effect of slip ...

We numerically model the effects of repetitive human head motions in traumatic scenarios that are associated with severe brain injuries. Our results are based on the linear Kelvin-Voigt brain injury model, which treats the brain matter as a viscoelastic solid, and on our nonlinear generalization of that model, which emulates the gel-like character of the brain tissue. To properly compare the va...

This paper deals with stability of solution for a one-dimensional model Rao?Nakra sandwich beam Kelvin?Voigt damping and time delay given by ??1?1?????? ? ??(??? + ?? ??????) ?????????? ??????????( , ??) = 0, ??3?3?????? ????????? ?????????????? ????(??? ??????)?? 0. A is an engineering that consists three layers: two stiff outer layers, bottom top faces, more compliant inner layer called ?core...

We consider a mathematical model which describes the quasistatic contact between two deformable bodies. The bodies are assumed to have a viscoelastic behavior that we model with Kelvin-Voigt constitutive law. The contact is frictionless and is modeled with the classical Signorini condition with zero-gap function. We derive a variational formulation of the problem and prove the existence of a un...

We study the energy decay rate of Kelvin–Voigt damped wave equation with piecewise smooth damping on multi-dimensional domain. Under suitable geometric assumptions support damping, we obtain optimal polynomial which turns out to be different from one-dimensional case studied in Liu and Rao [Z. Angew. Math. Phys. 56 (2005), no. 4, 630–644]. This is saturated by high quasi-modes localized optics ...

Maxwellian-type rheological models of inelastic effects creep type at large strains are revisited in relation to strain gradient theories. In particular, we observe that a dependence the stored energy density on gradients may lead spurious hardening effects, preventing model from accommodating slips. The main result this paper is an alternative type, where higher-order contribution provided by ...

Using low-stress pseudoshear deformation, we measured the ambient-temperaturecreep-recovery behavior of polycrystalline indium. The &+J diagram shows three regions with increasing stress: stress exponents of 1.05, 7.4, and 2.0. The diagram resembles remarkably the dislocation-velocity-shear-stressdiagrams reported for various materials by many authors, who interpreted the diagrams by dislocatio...