期刊
PHYSICAL REVIEW E
卷 80, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.056602
关键词
granular materials; mechanical contact; shock wave effects
资金
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0844540] Funding Source: National Science Foundation
We study the existence of stationary shock waves in uniform and periodic heterogeneous highly nonlinear granular chains governed by a power-law contact interaction, comparing discrete and continuum approaches, as well as experiments. We report the presence of quasisteady shock fronts without the need for dissipative effects. When viscous effects are neglected, the structure of the leading front appears to be solely the result of dispersive effects related to the lattice wave dispersion and, for heterogeneous bead chains, to the impedance mismatch between material domains. We report analytically and numerically the shock-width scaling with the variation in the particles periodicity (cell size) and compare the obtained results with experiments. We check the state (-) behind the shock front via quasistatic compression analysis and report a very good agreement between theory and numerical data.
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