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...

Generalized constitutive relationships of viscoelastic foams are investigated in which the time derivatives of integer order are replaced by derivatives of fractional order. To this point, the justification of such models has resided in the fact that they are effective in describing the behavior of real materials. In this work, the three-parameter fractional Kelvin Voigt model is compared to th...

This paper presents the implementation of a planetary rover simulation environment focused on locomotion aspects. A multibody, port-based modeling approach was taken combined with screw theory for the description of the kinematics and dynamics. Bond graphs are used as the modeling language. The contact model considers the interacting surfaces to be smooth and utilizes their differential geometr...

We investigate how a nonlinear stress-strain relation (that leads to a stiffening of the brain matter under strain) influences the brain dynamics in traumatic situations. We numerically simulate rapid rotational accelerations and decelerations of a human head using our generalization of the viscoelastic Kelvin-Voigt brain injury model that includes an experimentally established dependency of st...

It is argued that fractional acoustic wave equations come in two kinds. The first kind is constructed ad hoc to have loss operators that fit power law measurements. The second kind is more fundamental as they in addition are based on underlying physical equations. Here that means constitutive equations. These equations are the fractional Kelvin‐Voigt and the more general fractional Zener stress...

In this paper we consider a natural robustness question for a model for structural acoustics. This model, which has been of great interest in recent years, is represented by a wave equation in R coupled to a Kelvin–Voigt beam; the coupling is natural physically, and is represented mathematically by highly unbounded operators. We assume that the observation consists of point evaluation of the be...

A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow in compliant vessels. In this paper, a 1D blood flow model is incorporated with a Kelvin-Voigt viscoelastic arterial wall. This leads to a nonlinear hyperbolic-parabolic system, which is then solved with four numerical schemes, namely: MacCormack, Taylor-Galerkin, monotonic upwind scheme for conservation law and...

Abstract An optimal, complete, continuous theory of the Luenberger dynamic compensator (or state estimator or observer) is obtained for recently studied class heat-structure interaction partial differential equation (PDE) models, with structure subject to high Kelvin-Voigt damping, and feedback control exercised either at interface between two media else external boundary physical domain in thr...

Diffraction-line broadening routes are briefly reviewed. Both laboratory and synchrotron xray measurements of W and MgO showed that a Voigt function satisfactorily fits the physically broadened line profiles. The consequences of an assumed Voigt-function profile shape for both sizebroadened and strain-broadened profiles (“double-Voigt” method) are studied. It is shown that the relationship betw...