Abstract
We investigate the operator-norm resolvent asymptotics of a high-contrast composite, consisting of a “stiff” material, with annular “soft” inclusions (a “stiff-soft-stiff” setup). This setup is derived from two models with very different effective wave propagation behaviours. Our analysis is based on an operator-framework proposed by Cherednichenko, Ershova, and Kiselev in [15]. Then, as a first step towards studying wave propagation on the stiff-soft-stiff composite, we use the effective description to derive analogous “dispersion functions”.
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