Elastic filament
= Elastic filament
An elastic filament is a slender elastic body modeled by a centerline and bending rigidities. Its <elastic energy> penalizes curvature. In a small-deflection representation $(x,y(x),z(x))$, the bending energy is quadratic in $y^{\prime\prime}$ and $z^{\prime\prime}$. Compression can cause <Euler buckling of an elastic filament>.