131 citations · 165 across the 6 of their papers we have counts for
7 papers
A broadband solid impedance transformer for acoustic transmission between water and air
Hesam Bakhtiary Yekta, Andrew N. Norris
Total acoustic transmission between air and water was shown in our recent paper to be attainable with a solid interface comprising two parallel thin elastic plates connected by rig…
Total acoustic transmission between fluids using a solid material with emphasis on the air-water interface
Hesam Bakhtiary Yekta, Andrew N. Norris
Total acoustic transmission between water and air is modeled using a purely solid interface comprising two elastic plates separated by periodically spaced ribs. The frequency of fu…
Green's Function Approach to Model Vibrations of Beams with Spatiotemporally Modulated Properties
Benjamin M. Goldsberry, Andrew N. Norris, Samuel P. Wallen +1
The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form s…
Analytical solutions for single and multiple scattering from rib-stiffened plates in water
Hesam Bakhtiary Yekta, Andrew N. Norris
The interaction of an acoustic plane wave with a pair of plates connected by periodically spaced stiffeners in water is considered. The rib-stiffened structure is called a "flex-la…
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…
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…
A multiple scales approach to crack front waves
Andrew N. Norris, I. D. Abrahams
Perturbation of a propagating crack with a straight edge is solved using the method of matched asymptotic expansions (MAE). This provides a simplified analysis in which the inner a…