TY - JOUR

T1 - Stretching Instability of Helical Springs

AU - Kessler, David A.

AU - Rabin, Yitzhak

N1 - Funding Information:
D. A. K. and Y. R. acknowledge the support of the Israel Science Foundation.

PY - 2003

Y1 - 2003

N2 - 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 steplike 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.

AB - 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 steplike 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.

UR - http://www.scopus.com/inward/record.url?scp=0037449726&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.90.024301

DO - 10.1103/PhysRevLett.90.024301

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C2 - 12570548

AN - SCOPUS:0037449726

SN - 0031-9007

VL - 90

SP - 4

JO - Physical Review Letters

JF - Physical Review Letters

IS - 2

ER -