Convergence of equilibria for bending-torsion models of rods with inhomogeneities
Convergence of equilibria for bending-torsion models of rods with inhomogeneities
Abstract We prove that, in the limit of vanishing thickness, equilibrium configurations of inhomogeneous, three-dimensional non-linearly elastic rods converge to equilibrium configurations of the variational limit theory. More precisely, we show that, as $h\searrow 0$ , stationary points of the energy , for a rod $\Omega _h\subset {\open R}^3$ with …