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Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation

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dc.citedby0
dc.contributor.authorMusa A.B.en_US
dc.contributor.authorid55669784800en_US
dc.date.accessioned2023-12-28T04:13:10Z
dc.date.available2023-12-28T04:13:10Z
dc.date.issued2013
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. The objective 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 multiple scales in perturbation 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. � 2013 AIP Publishing LLC.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1063/1.4801118
dc.identifier.epage157
dc.identifier.scopus2-s2.0-84876928932
dc.identifier.spage148
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84876928932&doi=10.1063%2f1.4801118&partnerID=40&md5=7638c2d63dda8766de38975833e2267b
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29451
dc.identifier.volume1522
dc.pagecount9
dc.sourceScopus
dc.sourcetitleAIP Conference Proceedings
dc.subjectInterface stress
dc.subjectInterface velocity
dc.subjectRatios of acoustic impedances
dc.subjectViscoelastic
dc.subjectViscosity time constants
dc.titleValidation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbationen_US
dc.typeConference paperen_US
dspace.entity.typePublication
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