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Applicability of the time–temperature superposition principle in modeling dynamic response of a polyurea

Zhao, J. and Knauss, W. G. and Ravichandran, G. (2007) Applicability of the time–temperature superposition principle in modeling dynamic response of a polyurea. Mechanics of Time-Dependent Materials, 11 (3-4). pp. 289-308. ISSN 1385-2000. https://resolver.caltech.edu/CaltechAUTHORS:ZHAmtdm07

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Abstract

This paper addresses the applicability of the Time–Temperature Superposition Principle in the dynamic response of a polyurea polymer at high strain rates and different temperatures. Careful and extensive measurements in the time domain of the relaxation behavior and subsequent deduction of a master-relaxation curve establish the mechanical behavior for quasistatic deformations over a time range of 16 decades. To examine its validity in a highly dynamic environment, experiments with the aid of a split Hopkinson (Kolsky) pressure bar are carried out. The use of a two-material pulse shaper allows for stress equilibrium across the specimen during the compression process, to concentrate on the initial, small deformation part that characterizes linearly viscoelastic behavior. This behavior of polyurea at high strain rates and different temperatures is then investigated by comparing results from a physically fully three-dimensional (axisymmetric) numerical model, employing the quasistatically obtained properties, with corresponding Hopkinson bar measurements. The experimentally determined wave history entering the specimen is used as input to the model. Experimental and simulation results are compared with each other to demonstrate that the Time–Temperature Superposition Principle can indeed provide the requisite data for high strain rate loading of viscoelastic solids, at least to the extent that linear viscoelasticity applies with respect to the polyurea material.


Item Type:Article
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https://doi.org/10.1007/s11043-008-9048-7DOIArticle
Additional Information:© Springer Science+Business Media 2008. Distributed under a Springer Open Choice License <http://tinyurl.com/44yxfx> (compatible with the Creative Commons Attribution Licence <http://creativecommons.org/licenses/by-nc/2.5>). Received: 21 September 2007. Accepted: 28 November 2007. Published online: 24 January 2008. We gratefully acknowledge the support of the Office of Naval Research for supporting this investigation under Grants N00014-05-1-0548 and N00014-05-1-0624. We thank Dr. R.S. Barsoum for his suggestions and discussions during the course of this research and value his recognition that this type of study had a longstanding need for resolution in the viscoelastic/polymer engineering community.
Group:GALCIT
Subject Keywords:Viscoelasticity; Time–temperature superposition; Master curve; High strain rates; Hopkinson bar
Issue or Number:3-4
Record Number:CaltechAUTHORS:ZHAmtdm07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ZHAmtdm07
Official Citation:Zhao, J., Knauss, W.G. & Ravichandran, G. Applicability of the time–temperature superposition principle in modeling dynamic response of a polyurea. Mech Time-Depend Mater 11, 289–308 (2007). https://doi.org/10.1007/s11043-008-9048-7
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format. Springer Open Choice License <http://tinyurl.com/44yxfx> (compatible with the Creative Commons Attribution Licence <http://creativecommons.org/licenses/by-nc/2.5>).
ID Code:10770
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Jun 2008
Last Modified:04 Feb 2020 22:30

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