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Title: Stationary rarefaction waves in discrete materials with strain-softening behavior

Abstract

This paper details some of the techniques used to derive exact solutions from the discrete equations of motion of strongly and weakly nonlinear discrete systems. The distinction between strongly and weakly nonlinear systems is related to the amplitude of a traveling pulse and the external confining load. Materials with an anomalous strain-softening behavior will be emphasized (i.e., f ~ δ n, n < 1), though this choice does not preclude applications for strain-hardening systems like those with Hertzian potentials. Discrete materials with tunable acoustic transmission properties and novel impact mitigation capacity have gained interest in recent years due to their practical application across many scientific fields. Wave-guides comprised of discrete materials with a nonlinear interaction potential have been used to investigate the interplay between nonlinearity, dispersion and dissipation.

Authors:
 [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1478663
Report Number(s):
LLNL-JRNL-709682
Journal ID: ISSN 0217-9792; 846807
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
International Journal of Modern Physics B
Additional Journal Information:
Journal Volume: 31; Journal Issue: 10; Journal ID: ISSN 0217-9792
Publisher:
World Scientific
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; strongly nonlinear solitary waves; discrete materials; rarefaction

Citation Formats

Herbold, Eric B. Stationary rarefaction waves in discrete materials with strain-softening behavior. United States: N. p., 2017. Web. doi:10.1142/S021797921742005X.
Herbold, Eric B. Stationary rarefaction waves in discrete materials with strain-softening behavior. United States. doi:10.1142/S021797921742005X.
Herbold, Eric B. Tue . "Stationary rarefaction waves in discrete materials with strain-softening behavior". United States. doi:10.1142/S021797921742005X. https://www.osti.gov/servlets/purl/1478663.
@article{osti_1478663,
title = {Stationary rarefaction waves in discrete materials with strain-softening behavior},
author = {Herbold, Eric B.},
abstractNote = {This paper details some of the techniques used to derive exact solutions from the discrete equations of motion of strongly and weakly nonlinear discrete systems. The distinction between strongly and weakly nonlinear systems is related to the amplitude of a traveling pulse and the external confining load. Materials with an anomalous strain-softening behavior will be emphasized (i.e., f ~ δn, n < 1), though this choice does not preclude applications for strain-hardening systems like those with Hertzian potentials. Discrete materials with tunable acoustic transmission properties and novel impact mitigation capacity have gained interest in recent years due to their practical application across many scientific fields. Wave-guides comprised of discrete materials with a nonlinear interaction potential have been used to investigate the interplay between nonlinearity, dispersion and dissipation.},
doi = {10.1142/S021797921742005X},
journal = {International Journal of Modern Physics B},
issn = {0217-9792},
number = 10,
volume = 31,
place = {United States},
year = {2017},
month = {3}
}

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