TY - RPRT
T1 - Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density
Y1 - 2010
A1 - Elisa Davoli
A1 - Maria Giovanna Mora
AB - The subject of this paper is the study of the asymptotic behaviour of the equilibrium configurations of a nonlinearly elastic thin rod, as the diameter of the cross-section tends to zero. Convergence results are established assuming physical growth conditions for the elastic energy density and suitable scalings of the applied loads, that correspond at the limit to different rod models: the constrained linear theory, the analogous of von Kármán plate theory for rods, and the linear theory.
UR - http://hdl.handle.net/1963/4086
U1 - 317
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -