Inserted: 16 jul 2003
Last Updated: 16 dec 2004
Journal: Asymptotic Analysis
A variational limit defined on the space of one-dimensional Young measures is obtained from three-dimensional elasticity via dimension reduction. The physical requirement that the energy becomes infinite when the volume locally vanishes is taken into account.\ The rate at which it blows up characterizes the domain of the limit energy.\ The obtained limit problem uniquely determines the energy density of the elastic string.
Keywords: Young Measures, $\Gamma$-convergence, dimension reduction, nonlinear elasticity