39,669 research outputs found
Topological defects in 1D elastic waves
It has been recently shown theoretically that a topological defect in a 1D
periodic potential may give rise to two localized states within the energy
gaps. In this work we present an experimental realization of this effect for
the case of torsional waves in elastic rods. We also show numerically that
three, or even more, localized states can be present if the parameters
characterizing the topological defect are suitably varied.Comment: 3 pages, 4 figures, accepted in Physica
On the Homogenization of Geological Fissured Systems With Curved non-periodic Cracks
We analyze the steady fluid flow in a porous medium containing a network of
thin fissures i.e. width , where all the cracks are
generated by the rigid translation of a continuous piecewise functions
in a fixed direction. The phenomenon is modeled in mixed variational
formulation, using the stationary Darcy's law and setting coefficients of low
resistance on the network. The singularities are
removed performing asymptotic analysis as which yields
an analogous system hosting only tangential flow in the fissures. Finally the
fissures are collapsed into two dimensional manifolds.Comment: 24 pages, 4 figure
- …