Coupling Geometrically Exact Cosserat Rods and Linear Elastic Continua
Please always quote using this URN:urn:nbn:de:0296-matheon-7941
- 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.
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| Author: | Oliver Sander |
|---|---|
| URN: | urn:nbn:de:0296-matheon-7941 |
| Referee: | Peter Deuflhard |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2011/03/10 |
| Release Date: | 2011/03/10 |
| Tag: | |
| Institute: | Freie Universität Berlin |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N55 Multigrid methods; domain decomposition |
| Preprint Number: | 772 |
