The traditional approach to calculating stress distribution in arteries has been to assume (incorrectly) that the unloaded intact artery is stress-free. We consider the unloaded intact artery to have initial (i.e., residual) stresses and study how this aaects the calculated wave speed of the arterial pulse. We use a set of equations that describe, in a simpliied way, the blood ow in arteries an...

Complete dynamical PDE systems of one-dimensional nonlinear elasticity satisfying the principle of material frame indifference are derived in Eulerian and Lagrangian formulations. These systems are considered within the framework of equivalent nonlocally related PDE systems. Consequently, a direct relation between the Euler and Lagrange systems is obtained. Moreover, other equivalent PDE system...

We prove the strong unique continuation property for the Lamé system of elastostatics in the plane, ∇· ( μ ( ∇u+∇ut )) +∇ (λ∇ · u) = 0, with variable Lamé coefficients μ, λ, when μ is Lipschitz and λ is measurable.

Two first-order system least squares (FOSLS) methods based on L norms are applied to various boundary value problems of planar linear elasticity. Both use finite element discretization and multigrid solution methods. They are two-stage algorithms that solve first for the displacement flux variable (the gradient of displacement, which easily yields the deformation and stress variables), then for...

INTRODUCTION AND OBJECTIVES To characterize the viscoelastic properties of the aorta and pulmonary arteries and the effects of vascular smooth muscle activation on arterial buffering function. MATERIAL AND METHOD Aortic and pulmonary artery pressure and diameter were measured in six anesthetized sheep under baseline conditions, and during arterial hypertension induced by mechanical vascular o...

We used (31)P MRS (magnetic resonance spectroscopy) measurements of energetic intermediates [ATP, P(i) and PCr (phosphocreatine)] in combination with the analytical tools of metabolic control analysis to study in vivo energy metabolism in the contracting skeletal muscle of anaesthetized rats over a broad range of workload. According to our recent MoCA (modular control analysis) used to describe...

Abstract. We model the coupled system formed by an incompressible, irrotational fluid and a nonlinear elastic body. We work with large displacement, small deformation elasticity (or St Venant elasticity), which makes the problem very interesting from the physical point of view. The elastic body is three-dimensional Ω ∈ R, and thus it can not be reduced to its boundary Γ (like in the case of a m...

We obtain free of resonances regions for the elasticity system in the exterior of a strictly convex body in R with dissipative boundary conditions under some natural assumptions on the behaviour of the geodesics on the boundary. To do so, we use the properties of the parametrix of the Neumann operator constructed in [12]. As a consequence, we obtain time decay estimates for the local energy of ...

This note deals with concrete applications of the general treatment of anisotropic thermo-elasticity developed in the first part [M. Reissig, J. Wirth, Anisotropic thermo-elasticity in 2D A unified treatment, Asympt. Anal. ?? (????) ??–??]. We give dispersive decay rates for solutions to the type-1 system of thermo-elasticity for certain types of anisotropic media. 1. Elastic operators and ther...