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Predicting wave velocity and stress of impact of elastic slug and viscoelastic rod using viscoelastic discontinuity analysis (Standard linear solid model)

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dc.citedby1
dc.contributor.authorMusa A.B.en_US
dc.contributor.authorid55669784800en_US
dc.date.accessioned2023-12-28T06:30:12Z
dc.date.available2023-12-28T06:30:12Z
dc.date.issued2012
dc.description.abstractThe study is about impact of a short elastic rod (or 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 an elastic slug moving at a speed V impacts a semi-infinite stationary viscoelastic rod. The objective is to predict stresses and velocities at the interface following wave transmissions and reflections in the slug after the impact using viscoelastic discontinuity. If the stress at the interface becomes tensile and the velocity changes its sign, then the slug and the rod part company. If the stress at the interface is compressive after the impact, the slug and the rod remain in contact. After modelling the impact and solve 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 at the interface for several viscosity time constants and ratios of acoustic impedances. In inverting the Laplace transformed equations, we used the complex inversion formula because there is a branch cut and infinitely many poles within the Bromwich contour. In the discontinuity analysis, we look at the moving discontinuities in stress and velocity using the impulse-momentum relation and kinematical condition of compatibility. Finally, we discussed the relationship of the stresses and velocities using numeric and the predictable stresses and velocities using viscoelastic discontinuity analysis. � 2012 Newswood Limited. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.epage70
dc.identifier.scopus2-s2.0-84929389806
dc.identifier.spage64
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84929389806&partnerID=40&md5=a1c7223590ab465d7d874076135bbe2e
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/29481
dc.identifier.volume2197
dc.pagecount6
dc.publisherNewswood Limiteden_US
dc.sourceScopus
dc.sourcetitleLecture Notes in Engineering and Computer Science
dc.subjectInterface stress
dc.subjectInterface velocity
dc.subjectRatios of acoustic impedances
dc.subjectViscoelastic
dc.subjectViscosity time constants
dc.subjectAcoustic impedance
dc.subjectBoundary conditions
dc.subjectLaplace transforms
dc.subjectVelocity
dc.subjectViscosity
dc.subjectWave propagation
dc.subjectInterface stress
dc.subjectInterface velocity
dc.subjectMoving discontinuities
dc.subjectStandard linear solid models
dc.subjectStandard linear solids
dc.subjectTime constants
dc.subjectVisco-elastic material
dc.subjectViscoelastic
dc.subjectViscoelasticity
dc.titlePredicting wave velocity and stress of impact of elastic slug and viscoelastic rod using viscoelastic discontinuity analysis (Standard linear solid model)en_US
dc.typeConference paperen_US
dspace.entity.typePublication
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