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Highly Nonlinear Solitary Waves in Periodic Granular Media
| Content Provider | Semantic Scholar |
|---|---|
| Author | Daraio, Chiara Porter, Mason A. Herbold, Eric B. Szelengowicz, Ivan Kevrekidis, Panos |
| Copyright Year | 2008 |
| Abstract | Summary We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) and trimer (three-mass) cell structures in one dimensional granular media. To vary the composition of the fundamental periodic units in the chains, we utilize particles of different materials (stainless steel, bronze, glass, nylon, PTFE, and rubber). Employing a model with Hertzian interactions between adjacent beads, we find very good agreement between experiments and numerical simulations. Equally good agreement is found between these results and a theoretical analysis of the model in the long-wavelength regime that we derive for heterogeneous environments (dimer chains) and general bead interactions. Our analysis encompasses previously-studied examples as special cases and also provides key insights on the influence of the heterogeneous lattices on the properties (width and propagation speed) of the nonlinear wave solutions of this system. The work paves the road to the study of acoustic band gaps and localization phenomena in heterogeneous randomized granular media. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://people.maths.ox.ac.uk/porterm/papers/ictam2008.pdf |
| Alternate Webpage(s) | http://www.math.ucla.edu/~mason/papers/ictam2008.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
