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Publications in Scientific Journals:

Y. Vetyukov, C. Schmidrathner:
"A rod model for large bending and torsion of an elastic strip with a geometrical imperfection";
Acta Mechanica, 230 (2019), 4061 - 4075.



English abstract:
We consider an initially horizontal curved elastic strip, which bends and twists under the action of
the varying length of the span between the clamped ends and of the gravity force. Equations of the theory of
rods, linearized in the vicinity of a largely pre-deformed state, allow for semi-analytical (or sometimes closed-
form) solutions. A nonlinear boundary value problem determines the vertical bending of a perfect beam, while
the small natural curvature additionally leads to torsion and out-of-plane deflections described by the linear
equations of the incremental theory. Numerical experiments demonstrate perfect correspondence to the finite
element rod model of the strip. Comparisons to the predictions of the shell model allow estimating the range
of applicability of the three-dimensional theory of rods. Practically relevant conclusions follow for the case of
high pre-tension of the strip.

Keywords:
Elastic rods · Incremental equations · Spatial Kirchhoff rods · Shell finite elements · Asymptotics


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00707-019-02378-y

Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_297209.pdf



Related Projects:
Project Head Yury Vetyukov:
LaLaBand


Created from the Publication Database of the Vienna University of Technology.