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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Metadaten
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
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