Repository: Freie Universität Berlin, Math Department

Coupling geometrically exact cosserat rods and linear elastic continua

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


Official URL:


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

Repository Staff Only: item control page