Solitary and shock waves in discrete double power-law materials
arXiv:0704.3302 · doi:10.1063/1.2751592
Abstract
A novel strongly nonlinear laminar metamaterial supporting new types of solitary and shock waves with impact energy mitigating capabilities is presented. It consists of steel plates with intermittent polymer toroidal rings acting as strongly nonlinear springs with large allowable strain. Their force-displacement relationship is described by the addition of two power-law relationships resulting in a solitary wave speed and width depending on the amplitude. This double nonlinearity allows splitting of an initial impulse into two separate strongly nonlinear solitary wave trains. Solitary and shock waves are observed experimentally and analyzed numerically in an assembly with Teflon o-rings.
arXiv comment14 pages, 6 figures
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- Hydrodynamics of a Discrete Conservation Law
- On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks
- Integrable Approximations of Dispersive Shock Waves of the Granular Chain