Stretching Instability of Helical Spring

Details Stretching Instability of Helical Spring Stretching Instability of Helical Spring

2002-05-29

arxiv.org/abs/cond-mat/0205612v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.90.024301

We show that when a gradually increasing tensile force is applied to the ends of a helical spring with sufficiently large ratios of radius to pitch and twist to bending rigidity, the end-to-end distance undergoes a sequence of discontinuous stretching transitions. Subsequent decrease of the force leads to step-like contraction and hysteresis is observed. For finite helices, the number of these transitions increases with the number of helical turns but only one stretching and one contraction instability survive in the limit of an infinite helix. We calculate the critical line that separates the region of parameters in which the deformation is continuous from that in which stretching instabilities occur, and propose experimental tests of our predictions.

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