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A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod

1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.

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Bibliographic Details
Main Author:	Abu Bakar, Musa
Format:	Working Paper
Language:	English
Published:	Universiti Malaysia Perlis (UniMAP) 2010
Subjects:	Viscosity time constants Ratio of acoustic impedances Complex inversion integral Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:	http://dspace.unimap.edu.my/xmlui/handle/123456789/10303
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spelling	my.unimap-103032010-11-25T04:27:26Z A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod Abu Bakar, Musa Viscosity time constants Ratio of acoustic impedances Complex inversion integral Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. The study is about impact of a short viscoelastic rod (or slug) on a stationary semi-infinite elastic 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 Vimpacts a semi-infinite stationary elastic rod. The objective is to investigate how the viscosity time constants in the slug gives effect to interface stresses and interface velocities following wave transmission in the slug. 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 modeling the impact and solve the governing system of partial differential equations in the Laplace transform domain, we inverted 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. Finally, we discussed the relationship between the viscosity time constants, ratios of acoustic impedances and the results of the interface stress and velocities. 2010-11-25T04:27:26Z 2010-11-25T04:27:26Z 2010-06-02 Working Paper Vol.1(1), p.25-37 http://hdl.handle.net/123456789/10303 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution	Universiti Malaysia Perlis
building	UniMAP Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaysia Perlis
content_source	UniMAP Library Digital Repository
url_provider	http://dspace.unimap.edu.my/
language	English
topic	Viscosity time constants Ratio of acoustic impedances Complex inversion integral Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle	Viscosity time constants Ratio of acoustic impedances Complex inversion integral Regional Conference on Applied and Engineering Mathematics (RCAEM) Abu Bakar, Musa A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
description	1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
format	Working Paper
author	Abu Bakar, Musa
author_facet	Abu Bakar, Musa
author_sort	Abu Bakar, Musa
title	A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
title_short	A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
title_full	A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
title_fullStr	A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
title_full_unstemmed	A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
title_sort	numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod
publisher	Universiti Malaysia Perlis (UniMAP)
publishDate	2010
url	http://dspace.unimap.edu.my/xmlui/handle/123456789/10303
_version_	1643789786108919808
score	13.160551

A numerical solution of impact between viscoelastic slug of standard linear solid model and elastic rod

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