Abstract
We study the spectrum of a periodic problem of elasticity theory such that the coefficients of the equation are high contrast dependent on a small parameter e. We prove that for sufficiently small e there are gaps in the continuous spectrum, the number of gaps unboundedly increases, and the limit set for the spectrum can be exactly described. The proof is based on the two-scale averaging principle for an e-periodic two-phase elastic medium with the contrast coefficient 1 : e 2 between hard and soft phases in moduli of elasticity. Bibliography: 11 titles.
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