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

The 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 pert...

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Main Author: Musa A.B.
Other Authors: 55669784800
Format: Conference paper
Published: 2023
Subjects:
Interface stress
Interface velocity
Ratios of acoustic impedances
Viscoelastic
Viscosity time constants
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id my.uniten.dspace-29451
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spelling my.uniten.dspace-294512023-12-28T12:13:10Z Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation Musa A.B. 55669784800 Interface stress Interface velocity Ratios of acoustic impedances Viscoelastic Viscosity time constants The 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. Final 2023-12-28T04:13:10Z 2023-12-28T04:13:10Z 2013 Conference paper 10.1063/1.4801118 2-s2.0-84876928932 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876928932&doi=10.1063%2f1.4801118&partnerID=40&md5=7638c2d63dda8766de38975833e2267b https://irepository.uniten.edu.my/handle/123456789/29451 1522 148 157 Scopus
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic Interface stress
Interface velocity
Ratios of acoustic impedances
Viscoelastic
Viscosity time constants
spellingShingle Interface stress
Interface velocity
Ratios of acoustic impedances
Viscoelastic
Viscosity time constants
Musa A.B.
Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
description The 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.
author2 55669784800
author_facet 55669784800
Musa A.B.
format Conference paper
author Musa A.B.
author_sort Musa A.B.
title Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
title_short Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
title_full Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
title_fullStr Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
title_full_unstemmed Validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
title_sort validation of numerical solution of wave propagation in vicoeslastic material (standard linear solid model) through perturbation
publishDate 2023
_version_ 1806426718094753792
score 13.222552

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