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Abstract: The subject of this paper is the study of the asymptotic behaviour of theequilibrium configurations of a nonlinearly elastic thin rod, as the diameterof the cross-section tends to zero. Convergence results are establishedassuming physical growth conditions for the elastic energy density and suitablescalings of the applied loads, that correspond at the limit to different rodmodels: the constrained linear theory, the analogous of von K\-arm\-an platetheory for rods, and the linear theory.



Author: Elisa Davoli, Maria Giovanna Mora

Source: https://arxiv.org/







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