301 citations · 897 across the 43 of their papers we have counts for
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math.AP2013
Resonant waves in elastic structured media: dynamic homogenisation versus Green's functions
Alexander Movchan, Leonid Slepyan
We address an important issue of a dynamic homogenisation in vector elasticity for a doubly periodic mass-spring elastic lattice. The notion of logarithmically growing resonant wav…
math-ph2013★ 16 cited
Symmetry and resonant modes in platonic grating stacks
Stewart G Haslinger, Alexander B Movchan, Natasha V Movchan +1
We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-radius pins. We group the modes into even and odd classes, and derive dispersion equat…