|
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.〔(Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability ) by Davide Bigoni, Cambridge University Press, ISBN 978-1107025417〕 ==See also== * Finite strain theory 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Elastica theory」の詳細全文を読む スポンサード リンク
|