2004/05/08 by Alexandre F. da Fonseca, da Fonseca, Alexandre F., Coraci P. Malta +1
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft) #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.cond-mat/0405161
17 pages
arxiv created 2004/05/08 · arxiv updated 2009/12/01
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.