Sander, O. (2013) Coupling geometrically exact cosserat rods and linear elastic continua. In: Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, 91 . Springer Berlin Heidelberg, pp. 443-450. ISBN 978-3-642-35274-4
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Official URL: http://dx.doi.org/10.1007/978-3-642-35275-1_52
Abstract
We consider the mechanical coupling of a geometrically exact Cosserat rod to a linear elastic continuum. The coupling conditions are formulated in the nonlinear rod configuration space. We describe a Dirichlet–Neumann algorithm for the coupled system, and use it to simulate the static stresses in a human knee joint, where the Cosserat rods are models for the ligaments.
| Item Type: | Book Section |
|---|---|
| Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 1819 |
| Deposited By: | Ekaterina Engel |
| Deposited On: | 23 Feb 2016 10:06 |
| Last Modified: | 03 Mar 2017 14:42 |
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