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We assess how the propagation of high-frequency elastic-flexural wavesthrough an ice shelf is modified by the presence of spatially periodiccrevasses. Analysis of the normal modes supported by the ice shelf with andwithout crevasses reveals that a periodic crevasse distribution qualitativelychanges the mechanical response. The normal modes of an ice shelf free ofcrevasses are evenly distributed as a function of frequency. In contrast, thenormal modes of a crevasse-ridden ice shelf are distributed unevenly. There are"band gaps", frequency ranges over which no eigenmodes exist. A model ice shelfthat is 50 km in lateral extent and 300 m thick with crevasses spaced 500 mapart has a band gap from 0.2 to 0.38 Hz. This is a frequency range relevantfor ocean wave/ice-shelf interactions. When the outermost edge of the crevassedice shelf is oscillated at a frequency within the band gap, the ice shelfresponds very differently from a crevasse-free ice shelf. The flexural motionof the crevassed ice shelf is confined to a small region near the outermostedge of the ice shelf and effectively "blocked" from reaching the interior.

Blocking a wave: Frequency band gaps in ice shelves with periodic crevasses