131 citations · 420 across the 19 of their papers we have counts for
9 papers · 1 filter
Quasistatic stopband in the spectrum of one-dimensional piezoelectric phononic crystal
A. A. Kutsenko, A. L. Shuvalov, O. Poncelet +1
Propagation of a longitudinal wave through the periodic structure composed of alternating elastic and piezoelectric layers is considered. The faces of each piezoelectric layer are…
Converging bounds for the effective shear speed in 2D phononic crystals
A. A. Kutsenko, A. L. Shuvalov, A. N. Norris
Calculation of the effective quasistatic shear speed in 2D solid phononic crystals is analyzed. The plane-wave expansion (PWE) and the monodromy-matrix (MM) methods are conside…
On the quasistatic effective elastic moduli for elastic waves in three-dimensional phononic crystals
A. A. Kutsenko, A. L. Shuvalov, A. N. Norris
Effective elastic moduli for 3D solid-solid phononic crystals of arbitrary anisotropy and oblique lattice structure are formulated analytically using the plane-wave expansion (PWE)…
The matrix sign function for solving surface wave problems in homogeneous and laterally periodic elastic half-spaces
A. N. Norris, A. L. Shuvalov, A. A. Kutsenko
The matrix sign function is shown to provide a simple and direct method to derive some fundamental results in the theory of surface waves in anisotropic materials. It is used to es…
Shear surface waves in phononic crystals
A. A. Kutsenko, A. L. Shuvalov
Existence of shear horizontal (SH) surface waves in 2D-periodic phononic crystals with an asymmetric depth-dependent profile is theoretically reported. Examples of dispersion spect…
Analytical formulation of 3D dynamic homogenization for periodic elastic systems
A. N. Norris, A. L. Shuvalov, A. A. Kutsenko
Homogenization of the equations of motion for a three dimensional periodic elastic system is considered. Expressions are obtained for the fully dynamic effective material parameter…