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- Q1324959 subject Q7731439.
- Q1324959 abstract "The elastica theory is a theory of mechanics of solid materials developed by Leonhard Euler that allows for very large scale elastic deflections of structures. Euler (1744) and Jakob Bernoulli developed the theory for elastic lines (yielding the solution known as the elastica curve) and studied buckling. Certain situations can be solved exactly by elliptic functions. Later elastica theory was generalized by F. and E. Cosserat into a geometric theory with intrinsic directions at each point (1907).Elastica theory is an example of bifurcation theory. For most boundary conditions several solutions exist simultaneously.When small deflections of a structure are to be analyzed, elastica theory is not required and an approximate solution may be found using the simpler linear elasticity theory or (for 1-dimensional components) beam theory.A modern treatise of the planar elastica with full account of bifurcation and instability has been recently presented by Bigoni.".
- Q1324959 thumbnail Elastica-ExperimentalCurveShapesAndForces.jpg?width=300.
- Q1324959 wikiPageExternalLink books?id=l8YJAAAAIAAJ.
- Q1324959 wikiPageExternalLink thesisFinal.pdf.
- Q1324959 wikiPageExternalLink EECS-2008-103.html.
- Q1324959 wikiPageExternalLink ~ucesgvd.
- Q1324959 wikiPageWikiLink Q1080293.
- Q1324959 wikiPageWikiLink Q1154357.
- Q1324959 wikiPageWikiLink Q122392.
- Q1324959 wikiPageWikiLink Q14097093.
- Q1324959 wikiPageWikiLink Q15300737.
- Q1324959 wikiPageWikiLink Q176916.
- Q1324959 wikiPageWikiLink Q7293929.
- Q1324959 wikiPageWikiLink Q7604.
- Q1324959 wikiPageWikiLink Q770329.
- Q1324959 wikiPageWikiLink Q7731439.
- Q1324959 wikiPageWikiLink Q805099.
- Q1324959 wikiPageWikiLink Q938102.
- Q1324959 comment "The elastica theory is a theory of mechanics of solid materials developed by Leonhard Euler that allows for very large scale elastic deflections of structures. Euler (1744) and Jakob Bernoulli developed the theory for elastic lines (yielding the solution known as the elastica curve) and studied buckling. Certain situations can be solved exactly by elliptic functions. Later elastica theory was generalized by F. and E.".
- Q1324959 label "Elastica theory".
- Q1324959 depiction Elastica-ExperimentalCurveShapesAndForces.jpg.