Coupling Geometrically Exact Cosserat Rods and Linear Elastic Continua

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Contributors

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.

Details

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
PublisherSpringer, Berlin [u. a.]
Pages443-450
ISBN (electronic)978-3-642-35275-1
ISBN (print)978-3-642-35274-4
Publication statusPublished - 9 May 2013
Peer-reviewedYes

External IDs

Scopus 84880471552
ORCID /0000-0003-1093-6374/work/146644818