In this paper, the classic Kelvin-Voigt model coupled thermo-viscoelasticity model of hollow and solid spheres under radial symmetric loading condition is considered. A full analytical method is used and an exact unique solution of the classic coupled equations is presented. The thermal and mechanical boundary conditions, the body force, and the heat source are considered in the most general fo...

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a certain critical value. The proof is established by showing that a Lyapunov function corresponding to the string decays to zero exponentially. It is also shown ...

<p style='text-indent:20px;'>The paper is devoted to the investigation of qualitative dynamics weak solutions for modified Kelvin-Voigt model on base theory pullback attractors trajectory spaces. At first, studied model, an auxiliary problem considered, its solvability in sense proved, and some solution estimates are established. Then, these estimates, a family spaces determined existence...

The capillary traction of a liquid contact line causes highly localized deformations in soft solids, tremendously slowing down wetting and dewetting dynamics by viscoelastic braking. Enforcing nonetheless large velocities leads to the so-called stick-slip instability, during which periodically depins from its own ridge. mechanism this periodic motion and, especially, role fluid have remained el...