131 citations · 420 across the 19 of their papers we have counts for
6 papers · 1 filter
Elastodynamics of radially inhomogeneous spherically anisotropic elastic materials in the Stroh formalism
A. N. Norris, A. L. Shuvalov
A method is presented for solving elastodynamic problems in radially inhomogeneous elastic materials with spherical anisotropy, i.e.\ materials such that in…
Nonlinear shear wave interaction at a frictional interface: Energy dissipation and generation of harmonics
A. Meziane, A. N. Norris, A. L. Shuvalov
Analytical and numerical modelling of the nonlinear interaction of shear wave with a frictional interface is presented. The system studied is composed of two homogeneous and isotro…
Effective speed of sound in phononic crystals
A. A. Kutsenko, A. L. Shuvalov, A. N. Norris
A new formula for the effective quasistatic speed of sound in 2D and 3D periodic materials is reported. The approach uses a monodromy-matrix operator to enable direct integrati…
On the effective shear speed in 2D phononic crystals
A. A. Kutsenko, A. L. Shuvalov, A. N. Norris +1
The quasistatic limit of the antiplane shear-wave speed ('effective speed') in 2D periodic lattices is studied. Two new closed-form estimates of are derived by employing tw…
Spectral properties of a 2D scalar wave equation with 1D-periodic coefficients: application to SH elastic waves
A. A. Kutsenko, A. L. Shuvalov, A. N. Norris +1
The paper provides a rigorous analysis of the dispersion spectrum of SH (shear horizontal) elastic waves in periodically stratified solids. The problem consists of an ordinary diff…
Elastic cloaking theory
A. N. Norris, A. L. Shuvalov
The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material prope…