Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models
Article
Article Title | Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models |
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ERA Journal ID | 3804 |
Article Category | Article |
Authors | Melnik, R. V. N. (Author), Strunin, D. V. (Author) and Roberts, A. J. (Author) |
Journal Title | Numerical Heat Transfer Part A: Applications |
Journal Citation | 47 (6), pp. 549-569 |
Number of Pages | 21 |
Year | 2005 |
Publisher | Taylor & Francis |
Place of Publication | United Kingdom |
ISSN | 1040-7782 |
1521-0634 | |
Digital Object Identifier (DOI) | https://doi.org/10.1080/10407780590891236 |
Web Address (URL) | http://www.informaworld.com/smpp/ftinterface~content=a725284701~fulltext=713240930 |
Abstract | Using mathematical modelling and computer simulation, nonlinear dynamics of rubber-based polymers has been studied with due regard for the effect of thermal relaxation. Main results have been obtained for the case of elongational oscillations of a ring-shaped body subjected to periodic ('internal') boundary conditions. In this case a nonlinear model describing a combined effect of thermal relaxation and thermomechanical coupling has been derived, and the analysis of the behaviour of rubber-based polymers has been conducted numerically. Particular emphasis has been placed on high-frequency and short spatial variations of temperature and displacement where the role of nonlinearities in the dynamics of the material and their close connection with the effect of thermal relaxation time can be best appreciated. It has been shown how the vanishing relaxation time can lead to an attenuation of nonlinear effects in the thermomechanical system. |
Keywords | hyperbolic thermoelasticity; nonlinear generalisaton of the Lord-Schulman model; thermomechanical coupling; rubber-based polymers |
ANZSRC Field of Research 2020 | 499999. Other mathematical sciences not elsewhere classified |
401609. Polymers and plastics | |
490109. Theoretical and applied mechanics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Wilfrid Laurier University, Canada |
Department of Mathematics and Computing |
https://research.usq.edu.au/item/9x889/nonlinear-analysis-of-rubber-based-polymeric-materials-with-thermal-relaxation-models
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