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.
Author: | Oliver Sander |
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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 |