We study the blow-up of the solution to a quasilinear viscoelastic wave system coupled by nonlinear sources. The system is of homogeneous Dirichlet boundary condition. The nonlinear damping and source are added to the equations. We assume that the relaxation functions are non-negative non-increasing functions and the initial energy is negative. The competition relations among the nonlinear prin...

Cornstarch suspensions exhibit remarkable behavior. Here, we present two unexpected observations for a sphere settling in such a suspension: In the bulk of the liquid the velocity of the sphere oscillates around a terminal value, without damping. Near the bottom the sphere comes to a full stop, but then accelerates again toward a second stop. This stop-go cycle is repeated several times before ...

Understanding the behavior of cavitation bubbles driven by ultrasonic fields is an important problem in biomedical acoustics. Keller-Miksis equation, which can account for the large amplitude oscillations of bubbles, is rederived in this paper and combined with a viscoelastic model to account for the strain-stress relation. The viscoelastic model used in this study is the Voigt model. It is sho...

The dynamic behavior of the lung in health and disease depends on its viscoelastic properties. To better understand these properties, several mathematical models have been utilized by many investigators. In the present work, we present a new approach that characterizes the dynamics of gas flow into a viscoelastic porous medium that models the lung structure. This problem is considered in terms ...

The rheological behaviour of ethylene glycol-based nanofluids containing hexagonal scalenohedral-shaped α-Fe2O3 (hematite) nanoparticles at 303.15 K and particle weight concentrations up to 25% has been carried out using a cone-plate Physica MCR rheometer. The tests performed show that the studied nanofluids present non-Newtonian shear-thinning behaviour. In addition, the viscosity at a given s...

METHODS Spin echo encoded, steady-state harmonic motion data was collected from a cylindrical, gelatine phantom containing multiple inclusions in order to test a dual-stage Magnetic Resonance Elastography (MRE) reconstruction approach. This reconstruction method uses a viscoelastic shear modulus distribution calculated from derivatives of filtered displacement values as an initial guess for an ...

This paper is concerned with a nonlinear viscoelastic equation with strong damping: ( ) ( ) 0 , d 0, t t tt tt t u u u u g t s u x s s u ρ − ∆ − ∆ + − ∆ − ∆ = ∫ . The objective of the present paper is to provide some results on the long-time behavior to this equation with acoustic boundary conditions. By using the assumptions on the relaxation function due to Tatar [1], we show an arbitrary rat...

In this paper, we investigate the stabilization of a linear Bresse system with one discontinuous local internal viscoelastic damping Kelvin-Voigt type acting on axial force, under fully Dirichlet boundary conditions. First, using general criteria Arendt-Batty, prove strong stability our system. Finally, frequency domain approach combined multiplier method, that energy decays polynomially differ...

Mechanical anomalies damping peaks sharper than Debye peaks, in contrast to a broad relaxation peak were observed in tetragonal barium titanate ceramic via broadband viscoelastic spectroscopy at low frequencies 10 Hz at ambient temperature after aging at 90 °C for 15 h. The sharp peaks disappear after aging above the Curie point 150 °C for 10 h . Mechanical anomalies are tentatively attributed ...

We introduce a model that describes spherical oscillations of encapsulated microbubbles in an unbounded surrounding fluid. A Rayleigh–Plesset-like equation is derived by coupling the Navier–Stokes fluid dynamics with Navier solid via internal/external boundary conditions. While previous models were restricted to incompressible isotropic shells, shell modeled here as compressible viscoelastic ma...