Inductive 3D numerical modelling of the tibia bone using MRI to examine von Mises stress and overall deformation

Abstract

As the main load bearer throughout the gait cycle, the tibia is a crucial bone in the lower leg that distributes ground reaction forces with each stride. Comprehending the distribution of stress inside the tibia is essential for both avoiding fractures and developing efficient methods of redistributing load to promote healing and biomechanical correction. The study examined the stress, strain, and deformation encountered by the tibia over a 7-s walking cycle using an ANSYS workbench software, using tibia bone under a period of force applied to the boundary condition at intervals of 0.2 s. The tibia encounters stress levels varying from 0 to 1,400 N, exhibiting a regular pattern that aligns with the loading attributes often associated with traditional walking. The research conducted in this study identified the occurrence of maximum stress levels, measuring 25.45 MPa. Additionally, related peak elastic strains and deformations were observed, measuring 2.19 × 10−3 and 2.43 mm, respectively. The patterns that have been seen indicate that there is an initial contact of the foot with the ground, followed by the bearing of weight and subsequently the toe-off. These observed patterns closely resemble the natural motion of the foot during the act of walking. Temporal fluctuations in elastic strain through the tibia throughout a gait cycle reveal that the strain is mostly cantered at the medial surface of the tibia. Additional investigation into the elastic properties and overall deformations of the tibia yielded valuable observations on prospective areas of interest within the bone’s structure. These findings are of utmost importance for biomechanical assessments and the identification of potential injury hazards in subsequent research endeavours.

Keywords

• tibia bone
• magnetic resonance imaging
• finite element analysis (fea)