Buckling of rods with spontaneous twist and curvature

Details Buckling of rods with spontaneous twist and curvature Buckling of rods with spontaneous twist and curvature

2000-04-08

arxiv.org/abs/cond-mat/0004121v1

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 1 figure

Scientific paper

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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