Publication:
Derivation of effective ratio of acoustic impedance for impacting viscoelastic slug (Standard Linear Solid Model) and elastic rod

dc.citedby1
dc.contributor.authorMusa A.B.en_US
dc.contributor.authorid55669784800en_US
dc.date.accessioned2023-05-16T02:47:30Z
dc.date.available2023-05-16T02:47:30Z
dc.date.issued2014
dc.description.abstractThe study is about impact of a short viscoelastic slug on a stationary semi-infinite viscoelastic rod. The viscoelastic materials are modeled as standard linear solid which involve three material parameters and the motion is treated as one-dimensional. We first establish the governing equations pertaining to the impact of viscoelastic materials subject to certain boundary conditions for the case when a viscoelastic slug moving at a speed V impacts a semi-infinite stationary viscoelastic rod. In order to validate the numerical results, we derive the effective ratio of acoustic impedance for impacting rods which will be used in the viscoelastic discontinuity analysis. The objective of this study is to investigate how the viscosity time constants in the slug and in the rod give rise to different interface stresses and interface velocities following wave transmission in the slug. After modeling the impact and solving the governing system of partial differential equations in the Laplace transform domain, we invert the Laplace transformed solution numerically to obtain the stresses and velocities. In inverting the Laplace transformed equations we used the complex inversion formula (Bromwich contour). In validating the numerical results, the method of viscoelastic discontinuity analysis is engaged to determine the first discontinuity jump at the interface. Finally, we discussed the relationship between the viscosity time constants, ratios of acoustic impedances and the results of the viscoelastic impacts obtained numerically and the predictions acquired using the multiple scales in perturbation. © (2014) Trans Tech Publications, Switzerland.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.4028/www.scientific.net/AMM.554.701
dc.identifier.epage711
dc.identifier.scopus2-s2.0-84903513244
dc.identifier.spage701
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84903513244&doi=10.4028%2fwww.scientific.net%2fAMM.554.701&partnerID=40&md5=a52316dc1a2236a572576de4c5200bf4
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/22113
dc.identifier.volume554
dc.publisherTrans Tech Publications Ltden_US
dc.sourceScopus
dc.sourcetitleApplied Mechanics and Materials
dc.titleDerivation of effective ratio of acoustic impedance for impacting viscoelastic slug (Standard Linear Solid Model) and elastic roden_US
dc.typeConference Paperen_US
dspace.entity.typePublication
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