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.
A 3D-1D Young measure theory of an elastic string
FREDDI, Lorenzo;
2004-01-01
Abstract
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.File in questo prodotto:
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