“…Specifically, dissipation plays a key role in vibration transmission. As such, dissipative vibration transmissions has been studied extensively in acoustic metamaterials featuring wave propagation and band gap structures [21,22,23,24,25,26,27,28,29,30] as well vibration and shock control [31,32,33,34,35,36]. However, although the effect of the constitutive materials' dissipation on mechanical instabilities has been well studied [37,38,39,40,41,42,43,44], the role of dissipation in the instabilities that underpin the extreme mechanics of mechanical metamaterials remains poorly understood (Fig 1).…”