Identification of Stress in Heterogeneous Contact Models
- We develop a heterogeneous model of the lower limb system to simulate muscle forces and stresses acting on the knee joint. The modelling of the bone dynamics leads to an index-3 DAE, which we discretize by higher order collocation methods. Furthermore, we present an elastomechanical contact knee joint model of the articular cartilage. For the solution of the contact problem we develop an efficient multigrid solver, based on an Augmented-Lagrangian relaxation of the contact constraints. We formulate the identification of joint forces and resulting stresses with respect to different knee joint models as an inverse problem based on medical gait data.
| Author: | Felix Baumann, Georg Duda, Anton Schiela, Martin WeiserORCiD |
|---|---|
| Editor: | Michael Hintermüller, Roland Herzog, Christian Kanzow, Michael Ulbrich, Stefan Ulbrich |
| Document Type: | In Collection |
| Parent Title (English): | Non-Smooth and Complementarity-Based Distributed Parameter Systems |
| Volume: | 173 |
| Series: | International Series of Numerical Mathematics |
| Publisher: | Springer Nature |
| Year of first publication: | 2026 |

