Two-dimensional vertical impact of a rigid blunt body onto floating ice plate is studied. The problem coupled and unsteady. liquid inviscid, incompressible, infinite depth. floe modeled as thin viscoelastic constant thickness. edges are free bending stresses shear forces. upper surface the covered with layer small thickness negligible inertia. reaction force this soft predicted by nonlinear one...

The standard step-hold load-relaxation profile can yield variable estimates of mechanical properties due to the difficulty in achieving a step strain experimentally. A ramp-hold profile overcomes this limitation if appropriate model functions can be derived. Utilizing Boltzmann hereditary integral operators for two indentation geometries, analytical ramp solutions for load-relaxation were devel...

A generalized analytical approach for the propagation of Bleustein–Gulyaev wave in a piezoelectric material loaded on its surface with viscoelastic fluid is established this paper. The waveguide subjected to various glycerol concentrations. Maxwell and Kelvin–Voigt models are used describe viscoelasticity fluid. Exact dispersion equation obtained cases both electrically short circuit open by so...

introduction: nano-indentation has recently been employed as a powerful tool for determining the mechanical properties of biological tissues on nano and micro scales. a majority of soft biological tissues such as ligaments and tendons exhibit viscoelastic or time-dependent behaviors. the constitutive characterization of soft tissues is among very important subjects in clinical medicine and espe...

This work presents a lossy partial differential acoustic wave equation including fractional derivative terms. It is derived from first principles of physics (mass and momentum conservation) and an equation of state given by the fractional Zener stress-strain constitutive relation. For a derivative order α in the fractional Zener relation, the resulting absorption α(k) obeys frequency power-laws...

The Viscoelastic response of hydropolymers, which include gelatin phantom and glandular breast tissue, may be accurately characterized with as few as three parameters using the Kelvin-Voigt Fractional Derivative (KVFD) modeling approach. We propose to image these parameters for simulated and experimental imaging phantoms and to estimate them for normal and cancerous in-vivo breast tissues. Afte...

In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay term in the feedback is less than the weight of the term without delay or if it is greater under an assumption between the damping factor, and the difference of the two weights, we prove the global ex...

The generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermo-viscoelastic plane waves of assigned frequency in an infinite visco-elastic solid of Kelvin-Voigt type, when the entire medium rotates with a uniform angular velocity. A more general dispersion equation is deduced to determine the effects ...

The on-line or adaptive identification of parameters in abstract linear and nonlinear infinite-dimensional dynamical systems is considered. An estimator in the form of an infinitedimensional linear evolution system having the state and parameter estimates as its states is defined. Convergence of the state estimator is established via a Lyapunov estimate. The finite-dimensional notion of a plant...