Answers are grounded in this paper and cite their sources.
In this paper, we investigate a transition from an elastica to a piecewised elastica whose connected point defines the hinge angle φ 0 and we call the piece-wised elastica Λ φ0 -elastica or Λ-elastica.Such transition appears in the bending beam experiment when an elastic beam is gradually compressed and at some moment suddenly due to the rupture, the shapes of Λ-elastica appear.We construct a mathematical theory to describe the phenomena and represent the Λ-elastica in terms of the elliptic ζ-function completely.Using the mathematical theory, we discuss the experimental results from an energetic viewpoint and numerically show the explicit shape of Λ-elastica.It means that this paper provides a novel investigation on elastica theory with rupture.
No takes yet. Share an insight, caveat, or question.
Matsutani et al. (2019) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: