Deuflhard, P. and Ertel, S. and Kornhuber, R. and Krause, R. and Sander, O.
(2006)
*Patient-specific simulation of dynamic stress distribution in the human knee.*
Journal of Biomechanics, 39
.
p. 47.
ISSN 0021-9290

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1016/S0021-9290(06)83062-9

## Abstract

We present a method for efficient, high-resolution, patient-specific simulation of the loads and stresses in a human knee joint during a gait cycle. Femur and tibia are modelled using first-order finite elements on a grid generated semi-automatically from a CT scan of the patient. We therefore obtain patient-specific information which can be very useful in operation and therapy planning. A new stabilized Newmark time scheme allows the time integration of Newton's equations of motion with arbitrarily large time steps. At each time step a large minimization problem has to be solved. Additional difficulty arises from the non-penetration condition imposed on the bones, which lead to inequality constaints for the minimization problem. A generalization of standard multigrid solvers, the so-called monotone multigrid solver, can solve such contact problems with optimal efficiency. Knee ligaments are modelled as nonlinear Cosserat rods. These are physically correct one-dimensional objects and allow to capture bending and twisting phenomena. They are coupled to the three-dimensional bone-models using equality of mechanical work as the coupling condition. We show numerical results for test problems with analytically known solutions as well as real-world examples using the Visible-Human data set.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 1946 |

Deposited By: | Ekaterina Engel |

Deposited On: | 08 Sep 2016 08:18 |

Last Modified: | 08 Sep 2016 08:18 |

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