Fisette, PaulDocquier, NicolasIstace, BaptisteBaptisteIstace2025-05-142025-05-142025-05-142024https://hdl.handle.net/2078.2/38940This thesis presents a work on the modeling and analysis of contact in the tibio-femoral joint by integrating surface meshes with a multibody formalism. The aim is to develop an accurate and efficient model to simulate the complex interactions in the knee joint, focusing on the contact dynamics between the femur and the tibia. In particular, advanced computational techniques, accurate anatomical meshes, collision detection algorithms and dynamic modeling of contact forces are investigated. A detailed overview of the anatomy of the knee joint and the principles of multibody system dynamics will be provided. A number of aspects of knee motion and joint surface geometry are then explored, highlighting the critical features required for accurate simulation. The thesis details the methodology for contact detection using meshes, including both approximate surfaces and scanned data surfaces. Advanced algorithms such as the Gilbert-Johnson-Keerthi (GJK) algorithm, the Expanding Polytope (EPA) algorithm and the Ray Casting algorithm are implemented and validated to ensure that contact detection is accurate. The dynamics of contact forces are modelled using different theoretical approaches, including elastic foundation models and Hertz contact theory. These are validated by simulations, demonstrating their ability to accurately reproduce real-world biomechanical behaviours. Finally, the results provide potential improvements and recommendations for future research. This work contributes to the field of biomechanical engineering by offering a viable method for simulating the dynamics of the knee joint. These may be useful for clinical diagnosis, surgical design and the design of orthopaedic implants.Tibio-femoralMultibodyMeshestext::thesis::master thesisthesis:48808