We study the spectral linear elasticity problem in an unbounded periodic waveguide, which consists of a sequence of identical bounded cells connected by thin ligaments of diameter of order $$ h >0$$ h > 0 . The essential spectrum of the problem is known to have band-gap structure. We derive asymptotic formulas for the position of the spectral bands and gaps, as $$h \rightarrow 0$$ h → 0 .
Zeitschrift für angewandte Mathematik und Physik – Springer Journals
Published: Aug 16, 2017
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