Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models

Melnik, R. V. N. and Strunin, D. V. and Roberts, A. J. (2005) Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models. Numerical Heat Transfer Part A: Applications, 47 (6). pp. 549-569. ISSN 1040-7782

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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.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School:	Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited:	11 Oct 2007 00:19
Last Modified:	04 Nov 2013 06:53
Uncontrolled Keywords:	hyperbolic thermoelasticity; nonlinear generalisaton of the Lord-Schulman model; thermomechanical coupling; rubber-based polymers
Fields of Research :	01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified 09 Engineering > 0912 Materials Engineering > 091209 Polymers and Plastics 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective:	E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI:	10.1080/10407780590891236
URI:	http://eprints.usq.edu.au/id/eprint/372

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