Multiple scattering of flexural waves in a semi-infinite thin plate with a cutout

Scattering of flexural waves from a hole in a thin plate with an internal beam.

The scattering of flexural waves by a hole in a thin plate traversed by a beam is modeled here by coupling the Kirchhoff-Love and the Euler-Bernoulli theories. A closed form expression is obtained for the transfer matrix (T-matrix) relating the incident wave to the scattered cylindrical waves. For this purpose, a general method has been developed, based on an analogous impedance method for acou...

Scattering of flexural waves by a semi-infinite crack in an elastic plate carrying an electric current

Smart structures are components used in engineering applications that are capable of sensing or reacting to their environment in a predictable and desired manner. In addition to carrying mechanical loads, smart structures may alleviate vibration, reduce acoustic noise, change their mechanical properties as required or monitor their own condition. With the latter point in mind, this article exam...

Title Scattering of surface waves by a semi-infinite floating elastic plate

Platonic Scattering Cancellation for Bending Waves in a Thin Plate

We propose an ultra-thin elastic cloak to control the scattering of bending waves in isotropic heterogeneous thin plates. The cloak design makes use of the scattering cancellation technique applied, for the first time, to the biharmonic operator describing the propagation of bending waves in thin plates. We first analyze scattering from hard and soft cylindrical objects in the quasistatic limit...

Multiple scattering of flexural waves by random configurations of inclusions in thin plates

Article history: Received 19 May 2010 Received in revised form 15 September 2010 Accepted 5 October 2010 Available online 13 October 2010 Flexural waves are scattered by inclusions in a thin plate. For a single inclusion of arbitrary shape, reciprocity relations are obtained connecting coefficients in circular multipole expansions. Then, a formula for the effective wavenumber in a random arrang...