Discrete hertzian chains and solitons

Surajit Sen; Marian Manciu

doi:10.1016/S0378-4371(99)00107-7

Discrete hertzian chains and solitons

Surajit Sen
, Marian Manciu

Physics

SUNY Buffalo

Research output: Contribution to journal › Article › peer-review

55 Scopus citations

Abstract

We consider elastic grains which repel upon contact according to the Hertz potential V = aδⁿ, n > 2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains 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.

Original language	English
Pages (from-to)	644-649
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	268
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(99)00107-7
State	Published - Jun 15 1999

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title = "Discrete hertzian chains and solitons",

abstract = "We consider elastic grains which repel upon contact according to the Hertz potential V = aδn, n > 2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains 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.",

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AU - Sen, Surajit

AU - Manciu, Marian

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N2 - We consider elastic grains which repel upon contact according to the Hertz potential V = aδn, n > 2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains 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.

AB - We consider elastic grains which repel upon contact according to the Hertz potential V = aδn, n > 2, where δ is the overlap between adjacent grains and report numerical and analytical studies for the case of a 1-D chain of spherical grains 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.

UR - https://www.scopus.com/pages/publications/0345201716

U2 - 10.1016/S0378-4371(99)00107-7

DO - 10.1016/S0378-4371(99)00107-7

M3 - Article

AN - SCOPUS:0345201716

SN - 0378-4371

VL - 268

SP - 644

EP - 649

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -

Discrete hertzian chains and solitons

Abstract

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