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Fatigue and Failure of a Polymer Chain Under Tension by Charan, Harish; Hansen, Alex; Hentschel, H. G. E.; Procaccia, Itamar is a scholarly article available to read on EtoBox.

What is Fatigue and Failure of a Polymer Chain Under Tension about?

The rupture of a polymer chain maintained at temperature $T$ under fixed tension is prototypical to a wide array of systems failing under constant external strain and random perturbations. Past research focused on analytic and numerical studies of the mean rate of collapse of such a chain. Surprisingly, an analytic calculation of the probability distribution function (PDF) of collapse rates appears to be lacking. Since rare events of rapid collapse can be important and even catastrophic, we present here a theory of this distribution, with a stress on its tail of fast rates. We show that the tail of the PDF is a power law with a {\em universal} exponent that is theoretically determined. Extensive numerics validate the offered theory. Lessons pertaining to other problems of the same type are drawn.

Author

Charan, Harish; Hansen, Alex; Hentschel, H. G. E.; Procaccia, Itamar

Published

2020

Language

EN