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Buckling of rods with spontaneous twist and curvature

Aleksey D. Drozdov·Yitzhak Rabin
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Abstract

We analyze stability of a thin inextensible elastic rod which has non-vanishing spontaneous generalized torsions in its stress-free state. Two classical problems are studied, both involving spontaneously twisted rods: a rectilinear beam compressed by axial forces, and a circular ring subjected to uniform radial pressure on its outer perimeter. It is demonstrated that while spontaneous twist stabilizes a rectilinear rod against buckling, its presence has an opposite effect on a closed ring.

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Aleksey D. Drozdov, Yitzhak Rabin. 2000-04-08. Buckling of rods with spontaneous twist and curvature. https://arxiv.org/abs/cond-mat/0004121

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