✪✪✪✪✪ http://www.theaudiopedia.com ✪✪✪✪✪

What does ELASTICA THEORY mean? ELASTICA THEORY meaning - ELASTICA THEORY definition - ELASTICA THEORY explanation. What is the meaning of ELASTICA THEORY? What is the definition of ELASTICA THEORY? What does ELASTICA THEORY stand for? What is ELASTICA THEORY meaning? What is ELASTICA THEORY definition?QnQ

Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license.

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.