Abstract
Human cartilage is one of the utmost important components in human body joints because it ensures the transmission of load and lubrication of the joint. The effective modeling and simulation of human cartilage and joints is indispensable to manufacture effective replacements. In this work, we tackle the modeling and simulation of human knee joint using a biphasic model and model-reduction techniques. To alleviate the computational cost, while effectively addressing the simulation of the knee joint, the proper generalized decomposition is used to address the simulation, modeled using the Brinkman equations. The simulation ensures therefore a high-fidelity representation of the biphasic nature and the fluid flow of the joint. The simulation can be postprocessed to find critical points of failure of the joint using shear stresses. A physical domain decomposition into an in-plane and out-of-plane decomposition is used to simulate the joint.
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