TY - JOUR
TI - Active elastodynamic cloaking
DO - https://doi.org/doi:10.7282/T3MC91QQ
AU - Norris, Andrew N.
AU - Amirkulova, Feruza A.
AU - Parnell, William J.
PY - 2014
T2 - Mathematics and Mechanics of Solids
VL - 19
IS - 6
SP - 603
EP - 625
AB - An active elastodynamic cloak destructively interferes with an incident time harmonic in-plane (coupled compressional/shear) elastic wave to produce zero total elastic field over a finite spatial region. A method is described which explicitly predicts the source amplitudes of the active field. For a given number of sources and their positions in two dimensions it is shown that the multipole amplitudes can be expressed as infinite sums of the coefficients of the incident wave decomposed into regular Bessel functions. Importantly, the active field generated by the sources vanishes in the far-field. In practice the infinite summations are clearly required to be truncated and the accuracy of cloaking is studied when the truncation parameter is modified.
KW - Active cloaking
KW - Elastodynamics
KW - Graf's addition theorem
KW - Multipole
KW - Source amplitudes
KW - Bessel functions
KW - Fraunhofer region (Electromagnetism)
KW - Elastic waves
KW - Harmonic analysis (Mathematics)
LA - English
ER -