Bifurcation of rupture path by linear and cubic damping force

Bifurcation of rupture path is studied for the effect of linear and cubic damping. Momentum equation with Rayleigh factor was transformed into ordinary differential form. Bernoulli differential equation was obtained and solved by the separation of variables. Analytical or exact solutions yielded the...

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Main Authors: Dennis, L.C.C., Chew, X., Lee, Y.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32336 /
Published: American Institute of Physics Inc. 2014
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904124746&doi=10.1063%2f1.4882459&partnerID=40&md5=80fa69190b3619654dfea976553b812d
http://eprints.utp.edu.my/32336/
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Summary: Bifurcation of rupture path is studied for the effect of linear and cubic damping. Momentum equation with Rayleigh factor was transformed into ordinary differential form. Bernoulli differential equation was obtained and solved by the separation of variables. Analytical or exact solutions yielded the bifurcation was visible at imaginary part when the wave was non dispersive. For the dispersive wave, bifurcation of rupture path was invisible. © 2014 AIP Publishing LLC.