Abstract
Elastic metamaterials exhibiting negative values of both effective mass density and Young's modulus in certain frequency ranges are important for controlling the propagation and path of elastic waves. However, a description of the vibrations involved in this ``double negativity'' is still needed. In this numerical study, the authors bring to light the microscopic mechanisms that lead to the double negativity of a double-sided metamaterial with pillars. The results will promote the computational design of devices to control waves guided in membranes and plates, such as acoustic lenses and ``inaudibility'' cloaks.
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