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

PARONI, ROBERTO
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.
2004
Freddi, Lorenzo; Paroni, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/885825
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