3 Anelasticity of solids 3 3.1 The complex Young modulus and the loss function . . . . . . . . . . . . . . . . . . . . 3 3.2 Simple models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.2.1 Perfect elastic solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.2.2 Maxwell solid . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

The primary goal of this paper is to validate the use of the anelastic approximation for fluids with a complex equation of state such as moist air or seawater. The anelastic approximation is based on a leading-order expansion of the equations of motion for a compressible fluid in terms of density. Its application to atmospheric flows has been based on a dry framework that treats phase transitio...

We used a novel diffraction-based method to extract the local, atomic-level elastic strain in nanoscale amorphous TiAl films during in situ transmission electron microscopy deformation, while simultaneously measuring the macroscopic strain. The complementary strain measurements revealed significant anelastic deformation, which was independently confirmed by strain rate experiments. Furthermore,...

Benchmark solutions for fully nonlinear anelastic compressible convection and dynamo action in a rotating spherical shell are proposed. Three benchmarks are specified. The first is a purely hydrodynamic case, which is steady in a uniformly drifting frame. The second is a self-excited saturated dynamo solution, also steady in a drifting frame. The third is again a self-excited dynamo but is unst...

Anelastic materials exhibit gradual full recovery of deformation once a load is removed, leading to dissipation of internal mechanical energy. As a consequence, anelastic materials are being investigated for mechanical damping applications. At the macroscopic scale, however, anelasticity is usually very small or negligible, especially in single-crystalline materials. Here, we show that single-c...

The effects of weak compressibility in the evolution of a fluid governed by the anelastic fluid equations are explored computationally. The basis for this study is a careful determination of the role which the anelastic divergence constraint plays in the evolution of a periodic array of interacting vortices. Our numerical studies address a blocking phenomenon occurring in strongly stratified fl...

1) able patients, who could do daily proper exercise (Group1). 2) less able who could perform average physical exercise (Group2). 3) bedridden patients (Group3). In all patients limb circumferences were detected at the beginning after 10 sessions of treatment. Treatment included: manual lymph drainage, bandaging, ultrasound and physical exercises. The bandage was packaged: multilayer anelastic ...

Anelastic anomalies in LaA12 and (La+O.23at%Gd)Al2 below 10K have been studied by MHz attenuation and sound velocity in the normaland superconducting state. Three anelastic processes involving different lattice defects have been identified. Two of them are shown to exhibit a strong dependence on the concentration of unpaired electrons. For one process this is due to changes in theelectronic com...