Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Nonlinear reptation in molecular based hysteresis models for polymers


Authors: H. T. Banks, Negash G. Medhin and Gabriella A. Pinter
Journal: Quart. Appl. Math. 62 (2004), 767-779
MSC: Primary 74D10; Secondary 35R10, 35R30, 74E35, 74H45
DOI: https://doi.org/10.1090/qam/2104273
MathSciNet review: MR2104273
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Abstract | References | Similar Articles | Additional Information

Abstract: We extend the linear ``stick-slip'' models of Doi-Edwards and Johnson-Stacer to nonlinear tube reptation models. We then show that such models, when combined with probabilistic formulations allowing distributions of relaxation times, provide a good description of dynamic experiments with highly filled rubber in tensile deformations. A connection to other applications including dielectric polarization and reptation in other viscoelastic materials (e.g., living tissue) is noted.


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DOI: https://doi.org/10.1090/qam/2104273
Article copyright: © Copyright 2004 American Mathematical Society


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