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math.SP2018★ 34 cited
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials
I. V. Kamotski, V. P. Smyshlyaev
We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting compo…
math.SP2018
Localised modes due to defects in high contrast periodic media via two-scale homogenization
I. V. Kamotski, V. P. Smyshlyaev
The spectral problem for an infinite periodic medium perturbed by a compact defect is considered. For a high contrast small $\ve$-size periodicity and a finite size defect we consi…
math.SP2007
Homogenization of spectral problems in bounded domains with doubly high contrasts
Natalia O. Babych, Ilia V. Kamotski, Valery P. Smyshlyaev
Homogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expa…