The associated paper demonstrates, for the first time, the application of a recently developed computational homogenization method towards dynamic analyses of locally resonant acoustic metamaterials (LRAM) exhibiting double negative effects, i.e. simultaneously negative mass and negative stiffness effects within a certain frequency regime. The present method provides an efficient tool for analyses of double negative metamaterials involving non-trivial loading and complex unit cell design.

The method above is implemented in MATLAB and the provided MATLAB scripts include:

1) Calculation of the frequency-independent dynamic effective material properties for a given LRAM unit cell design. Finite element method is employed.

2) Calculation of the dispersion spectra of an infinite LRAM medium, using plane wave transformation. Reference solution by Bloch analysis is given as well.

3) Frequency domain analysis of a LRAM prism embedded in a conventional material domain, based on harmonic solution assumption. Individual compressive and shear wave fields are determined as well, using Helmholtz decomposition. Finite element method is employed.

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