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Title: Solitons in Granular Chains

Abstract

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.

Authors:
; ;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
5706
Report Number(s):
SAND99-0899J
TRN: US0101683
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article
Journal Name:
Physical Review Letter
Additional Journal Information:
Other Information: Submitted to Physical Review Letter; PBD: 12 Apr 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SOLITONS; GRANULAR MATERIALS; NUMERICAL SOLUTION; ANALYTICAL SOLUTION

Citation Formats

Manciu, M, Sen, S, and Hurd, A J. Solitons in Granular Chains. United States: N. p., 1999. Web.
Manciu, M, Sen, S, & Hurd, A J. Solitons in Granular Chains. United States.
Manciu, M, Sen, S, and Hurd, A J. 1999. "Solitons in Granular Chains". United States. https://www.osti.gov/servlets/purl/5706.
@article{osti_5706,
title = {Solitons in Granular Chains},
author = {Manciu, M and Sen, S and Hurd, A J},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/5706}, journal = {Physical Review Letter},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 12 00:00:00 EDT 1999},
month = {Mon Apr 12 00:00:00 EDT 1999}
}