Kirchhoff rods with nonhomogeneous cross section

Details Kirchhoff rods with nonhomogeneous cross section Kirchhoff rods with nonhomogeneous cross section

2004-05-08

arxiv.org/abs/cond-mat/0405161v1

Physics

Condensed Matter

Materials Science

17 pages

Scientific paper

The Kirchhoff's theory for thin, inextensible, elastic rods with nonhomogeneous cross section is studied. The Young's and shear moduli of the rod are considered to vary radially, and it is shown that an analytical solution for the constitutive relations can be obtained for circular cross section and constant Poisson's ratio. We comment on possible applications of our results.

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