Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On oscillatory necking in polymers

Authors: B. J. Matkowsky and G. I. Sivashinsky
Journal: Quart. Appl. Math. 37 (1979), 23-34
DOI: https://doi.org/10.1090/qam/99637
MathSciNet review: QAM99637
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Abstract | References | Additional Information

Abstract: The phenomenon of oscillatory necking in the stretching of polyethylene films is described. We propose an extension of a model of Barenblatt for isothermic necking in polymers, and we show that oscillatory necking may arise, for example, in polymers for which the effect of diffusion of stresses exceeds that of diffusion of oriented material. In such polymers, at sufficiently low temperatures, uniform necking is no longer stable and self-oscillations are observed.

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Additional Information

DOI: https://doi.org/10.1090/qam/99637
Article copyright: © Copyright 1979 American Mathematical Society

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