The von Karman equations , the stress function , and elastic ridges in high dimensions

@inproceedings{Kramer1996TheVK,
  title={The von Karman equations , the stress function , and elastic ridges in high dimensions},
  author={Eric M. Kramer},
  year={1996}
}
The elastic energy functional of a thin elastic rod or sheet is generalized to the case of an M -dimensional manifold in N -dimensional space. We derive potentials for the stress field and curvatures and find the generalized von Karman equations for a manifold in elastic equilibrium. We perform a scaling analysis of an M − 1 dimensional ridge in an M = N… CONTINUE READING