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Title: Propagation of rarefaction pulses in particulate materials with strain-softening behavior

Abstract

We investigate rarefaction waves in nonlinear periodic systems with a 'softening' power-law relationship between force and displacement to understand the dynamic behavior of this class of materials. A closed form expression describing the shape of the strongly nonlinear rarefaction wave is exact for n = 1/2 and agrees well with the shape and width of the pulses resulting from discrete simulations. A chain of particles under impact was shown to propagate a rarefaction pulse as the leading pulse in initially compressive impulsive loading in the absence of dissipation. Compression pulses generated by impact quickly disintegrated into a leading rarefaction solitary wave followed by an oscillatory train. Such behavior is favorable for metamaterials design of shock absorption layers as well as tunable information transmission lines for scrambling of acoustic information.

Authors:
;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1022932
Report Number(s):
LLNL-PROC-491549
TRN: US201118%%608
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Presented at: Shock Compression of Condensed Matter - 2011, Chicago, IL, United States, Jun 26 - Jul 01, 2011
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ABSORPTION; ACOUSTICS; CHAINS; COMPRESSION; DESIGN; PARTICULATES; PERIODIC SYSTEM; POWER TRANSMISSION LINES; SHAPE; STRAIN SOFTENING

Citation Formats

Herbold, E B, and Nesterenko, V F. Propagation of rarefaction pulses in particulate materials with strain-softening behavior. United States: N. p., 2011. Web.
Herbold, E B, & Nesterenko, V F. Propagation of rarefaction pulses in particulate materials with strain-softening behavior. United States.
Herbold, E B, and Nesterenko, V F. Fri . "Propagation of rarefaction pulses in particulate materials with strain-softening behavior". United States. https://www.osti.gov/servlets/purl/1022932.
@article{osti_1022932,
title = {Propagation of rarefaction pulses in particulate materials with strain-softening behavior},
author = {Herbold, E B and Nesterenko, V F},
abstractNote = {We investigate rarefaction waves in nonlinear periodic systems with a 'softening' power-law relationship between force and displacement to understand the dynamic behavior of this class of materials. A closed form expression describing the shape of the strongly nonlinear rarefaction wave is exact for n = 1/2 and agrees well with the shape and width of the pulses resulting from discrete simulations. A chain of particles under impact was shown to propagate a rarefaction pulse as the leading pulse in initially compressive impulsive loading in the absence of dissipation. Compression pulses generated by impact quickly disintegrated into a leading rarefaction solitary wave followed by an oscillatory train. Such behavior is favorable for metamaterials design of shock absorption layers as well as tunable information transmission lines for scrambling of acoustic information.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2011},
month = {7}
}

Conference:
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