Wave chaos in the elastic disk

Wave chaos in the elastic disk.

The relation between the elastic wave equation for plane, isotropic bodies and an underlying classical ray dynamics is investigated. We study, in particular, the eigenfrequencies of an elastic disk with free boundaries and their connection to periodic rays inside the circular domain. Even though the problem is separable, wave mixing between the shear and pressure component of the wave field at ...

Magneto-Thermo-Elastic Stresses and Perturbation of the Magnetic Field Vector in an EGM Rotating Disk

In this article, the magneto-thermo-elastic problem of exponentially graded material (EGM) hollow rotating disk placed in uniform magnetic and temperature fields is considered. Exact solutions for stresses and perturbations of the magnetic field vector in EGM hollow rotating disk are determined using the infinitesimal theory of magneto-thermo-elasticity under plane stress. The material properti...

Chaos in orbits due to disk crossings.

We study orbits of halo stars in simple models of galaxies with disks and halos to see if the cumulative effects of the sudden changes in acceleration that occur at disk crossings can induce chaos. We find that they can, although not in all orbits and not in all potentials. Most of the orbits that become chaotic stay relatively close to the disk and range widely in the radial direction. Heavier...

Stress Wave Propagation in Elastic-elastic and Elastic-viscoelastic Bilaminates

In the present study normal plate-impact experiments are conducted to investigate the propagation of acceleration waves in 2-D layered material systems. The objective of these experiments is to understand the role of material architecture and material inelasticity in controlling precursor decay and late-time dispersion of acceleration waves in elastic-elastic and elasticviscoelastic laminates. ...

Wave propagation in elastic tubes