We study the mechanics of pentamode metamaterials consisting of multi-layered pentamode lattices alternated with rigid plates. The examined systems respond in the stretching-dominated regime induced by the presence of perfectly hinged connections between the rods and the stiffening plates. We anakyze the variation of the effective stiffness properties of the examined systems with the lattice constant, the solid volume fraction, the cross-section area of the rods, and the number of layers.
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