1. On a planar theory of a discrete nonlinearly elastic rod.
- Author
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Hemingway, Evan G. and O'Reilly, Oliver M.
- Subjects
- *
PLANAR motion , *BENCHMARK problems (Computer science) , *ANALYTICAL solutions - Abstract
A discrete model for elastic rods undergoing planar motions based on the theory of a directed (or Cosserat) rod is presented. Edge vectors and a director are used to capture cross section deformations including stretch, stretch gradients, shear, shear gradients, and the Poisson effect. In addition, deformations such as longitudinal stretch and bending are also incorporated. The model is validated with the help of known analytical solutions to benchmark problems using Green and Naghdi's rod theory. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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