Asymptotic Analysis of Torsional and Stretching Modes of Thin Rods
نویسنده
چکیده
In this article, we show that a class of high frequencies of the threedimensional linearized elasticity system in a thin rod and their associated eigenfunctions converge in a precise sense, as the area of the cross section of the rod goes to zero. The limit model is a coupled one-dimensional problem giving the classical equations for torsion and stretching modes in rods.
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