Relevance of the hyperelastic behavior of cruciate ligaments in the modeling of the human knee joint in sagittal plane

Keywords: Knee modeling, preoperative planning, mechanisms, Davies’ method, hyperelastic behavior

Abstract

The rupture of the anterior cruciate ligament (ACL) is the most common injury of the human knee. When surgery is required, it is helpful for orthopedic surgeons to scientifi cally defi ne the best position for the graft, which approximates the functionality of an intact ACL. To accomplish that, it is crucial to estimate the force acting on the ligament (or graft) in response to an external load applied to the knee. This force is called the in-situ force. The objective of this research is to evidence the relevance of the hyperelastic behavior of cruciate ligaments in the two-dimensional modeling of the knee. To achieve this, a sequential method of modeling is proposed based on the theory of mechanisms and Davies’ method. In a fi rst approach the cruciate ligaments are treated as rigid bodies, and in a second approach, as hyperelastic bodies. These two approaches are then compared. The model provides  information to assist the preoperative planning, by simulation of the ACL positions and in- situ forces. The proposed methodology consists of four steps and an experimental procedure  performed by a robotic manipulator to obtain the in-situ forces. Experimental in-situ forces are used to validate the proposed model. Besides helping the preoperative planning, the model allows verifying two relevant biomechanical hypotheses: 1. During the simulation of the ACL in-situ force, the modeling of the cruciate ligaments as rigid links shows similar results to the

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Author Biographies

Daniel Alejandro Ponce-Saldias, Universidade Federal de Santa Catarina

Departamento de Engenharia Mecânica

Daniel Martins, Universidade Federal de Santa Catarina

Departamento de Engenharia Mecânica

Carlos Rodrigo de Mello-Roesler, Universidade Federal de Santa Catarina

Laboratório de Engenharia Biomecânica (LEBm)

Otavio Teixeira-Pinto, Universidade Federal de Santa Catarina

Laboratório de Engenharia Biomecânica (LEBm)

Eduardo Alberto Fancello, Universidade Federal de Santa Catarina

Laboratório de Engenharia Biomecânica (LEBm)

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Published
2015-09-27
How to Cite
Ponce-Saldias D. A., Martins D., de Mello-Roesler C. R., Teixeira-Pinto O., & Fancello E. A. (2015). Relevance of the hyperelastic behavior of cruciate ligaments in the modeling of the human knee joint in sagittal plane. Revista Facultad De Ingeniería Universidad De Antioquia, (76), 123-133. https://doi.org/10.17533/udea.redin.n76a15