Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Long-range asymptotics of a step signal propagating in a hereditary viscoelastic medium

Long-range asymptotics of a step signal propagating in a hereditary viscoelastic medium The shape of the asymptotic long-range solution of the scalar linear viscoelastic signaling problem is found for a large class of creep compliances. If the asymptotic growth of the creep compliance at large times is given by a power law then the long-range asymptotic shape of an initial step pulse is given by a function depending exclusively on the value of the exponent in the power law. Two different cases arise corresponding to unbounded and bounded creep compliances. In the first case the asymptotic solution is the solution of a fractional wave equation with a scale factor. In the second case a different universal signal shape function is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press

Long-range asymptotics of a step signal propagating in a hereditary viscoelastic medium

Loading next page...
 
/lp/oxford-university-press/long-range-asymptotics-of-a-step-signal-propagating-in-a-hereditary-u9CbXcWNtR

References (22)

Publisher
Oxford University Press
Copyright
Q. Jl Mech. Appl. Math, Vol. 60. No. 2 The author 2007. Published by Oxford University Press; all rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org
ISSN
0033-5614
eISSN
1464-3855
DOI
10.1093/qjmam/hbl023
Publisher site
See Article on Publisher Site

Abstract

The shape of the asymptotic long-range solution of the scalar linear viscoelastic signaling problem is found for a large class of creep compliances. If the asymptotic growth of the creep compliance at large times is given by a power law then the long-range asymptotic shape of an initial step pulse is given by a function depending exclusively on the value of the exponent in the power law. Two different cases arise corresponding to unbounded and bounded creep compliances. In the first case the asymptotic solution is the solution of a fractional wave equation with a scale factor. In the second case a different universal signal shape function is obtained.

Journal

The Quarterly Journal of Mechanics and Applied MathematicsOxford University Press

Published: Mar 7, 2007

There are no references for this article.