131 citations · 420 across the 19 of their papers we have counts for
3 papers · 1 filter
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…