This paper reviews the modern state of the Wiener–Hopf factorization method and its
generalizations. The main constructive results for matrix Wiener–Hopf problems are …

We investigate theoretically the band structure of flexural waves propagating in an elastic
metamaterial thin plate. Kirchhoff-Love thin plate theory is considered. We study the …

We investigate the complex band structure and forced response of flexural waves
propagating in an elastic metamaterial thick plate. Mindlin-Reissner thick plate theory is …

The design of structures that can yield efficient sound insulation performance is a recurring
topic in the acoustic engineering field. Special attention is given to panels, which can be …

Rayleigh waves are analysed in elastic lattices incorporating inertial devices that couple in-
plane displacements. The vector problems of elasticity for a triangular lattice and its long …

We present an extensive formulation of the inverse grating problem for flexural waves in
which the energy of each diffracted mode is selected and the grating configuration is then …

Due to the coating feature and bandgap adjustability of dual-base locally resonant phononic
crystal (LRPC), the purpose behind this paper is to explore the application of dual-base …

We propose a new type of platonic crystal, which includes spiral resonators with low-
frequency resonant vibrations. The special dynamic effects of the resonators are highlighted …

A periodic elastic metamaterial plate is designed by the locally resonant band-gap
mechanism. Based on the Floquet–Bloch wave theory, the band-gap structures of the elastic …

A new class of elastic waveforms, referred to as “chiral flexural waves”, is introduced for a
multi-structure, which encompasses an elastic plate connected to a system of elastic flexural …