Solitons in Granular Chains
Journal Article
·
· Physical Review Letter
OSTI ID:5706
The authors consider a chain of elastic (Hertzian) grains that repel upon contact according to the potential V = a{delta}{sup u}, u > 2, where {delta} is the overlap between the grains. They present numerical and analytical results to show that an impulse initiated at an end of a chain of Hertzian grains in contact eventually propagates as a soliton for all n > 2 and that no solitons are possible for n {le} 2. Unlike continuous, they find that colliding solitons in discrete media initiative multiple weak solitons at the point of crossing.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 5706
- Report Number(s):
- SAND99-0899J; TRN: US0101683
- Journal Information:
- Physical Review Letter, Other Information: Submitted to Physical Review Letter; PBD: 12 Apr 1999
- Country of Publication:
- United States
- Language:
- English
Similar Records
Crossing of identical solitary waves in a chain of elastic beads
Compactons: Solitons with finite wavelength
Strongly nonlinear waves in locally resonant granular chains
Journal Article
·
Mon Jan 01 00:00:00 EST 2001
· Physical Review E
·
OSTI ID:5706
Compactons: Solitons with finite wavelength
Journal Article
·
Mon Feb 01 00:00:00 EST 1993
· Physical Review Letters; (United States)
·
OSTI ID:5706
Strongly nonlinear waves in locally resonant granular chains
Journal Article
·
Fri Sep 23 00:00:00 EDT 2016
· Nonlinearity
·
OSTI ID:5706
+1 more