The stability of equilibrium of non-linearly elastic rods, whose deformations obey the classical Kirchhoff''s equations, is considered. A variational formulation of the equilibrium problem is given, and the equilibrium equations for infinitesimal deformations superimposed to a finite transformation of a rod are deduced. The stability of annular rings, in which the twisting strain is non-null, is investigated by study of the second variation of the energy functional. -
Lembo, M. (2003). On the stability of elastic annular rods. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 40(2), 317-330 [10.1016/S0020-7683(02)00546-2].
On the stability of elastic annular rods
LEMBO, Marzio
2003-01-01
Abstract
The stability of equilibrium of non-linearly elastic rods, whose deformations obey the classical Kirchhoff''s equations, is considered. A variational formulation of the equilibrium problem is given, and the equilibrium equations for infinitesimal deformations superimposed to a finite transformation of a rod are deduced. The stability of annular rings, in which the twisting strain is non-null, is investigated by study of the second variation of the energy functional. -File in questo prodotto:
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