Finite Element Modeling of Articular Cartilage to Characterize Biomechanical Properties: The Effect of Cartilage Surface Curvature

R. S. Ibramsa, M. J. A. Latif, M. S. Zakaria, M. N. Harun, J. Mahmud
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Abstract

Degeneration and loss of articular cartilage in the synovial joint have been recognized as the main source of osteoarthritis which leads to pain, swelling and limit the joint mobility. Extensive experimental and computational studies have been performed to study the mechanical behavior and characterize the biomechanical properties of articular cartilage. However, a lack of attention was made on the curvature of the cartilage surface by assuming it was a flat surface. This assumption was inappropriate since the synovial joints possessed curved geometrical shape and may contribute to inaccuracies in characterizing the articular cartilage biomechanical properties. This study aims to examine the effects of the curvature of the cartilage surface in finite element modeling which incorporated with the experiment method to characterize biomechanical properties of articular cartilage. In this study, the biomechanical behavior of contact pressure and pore pressure were investigated at different radius of cartilage surface using the finite element method. The cartilage biomechanical properties of elastic modulus and permeability of the bovine humeral head were then characterized using a combination of indentation test and finite element method. It was found that the cartilage curvature produced a 6% difference in contact pressure and a 39% difference in pore pressure distribution compared to the flat surface cartilage in finite element analysis. Furthermore, significant observation in the characterized biomechanical properties was obtained where the differences of the cartilage curvature reached 33% for elastic modulus and 56% for permeability. Based on the results, the surface curvature of articular cartilage could play an important role in the computational modeling and characterization of its biomechanical properties.
表征关节软骨生物力学特性的有限元建模:软骨表面曲率的影响
滑膜关节软骨退行性变和丧失已被认为是骨关节炎的主要原因,导致疼痛、肿胀和限制关节活动。广泛的实验和计算研究已经进行了研究力学行为和表征关节软骨的生物力学特性。然而,缺乏对软骨表面曲率的关注,假设它是一个平坦的表面。这种假设是不合适的,因为滑膜关节具有弯曲的几何形状,可能导致表征关节软骨生物力学特性的不准确。本研究旨在探讨软骨表面曲率对有限元建模的影响,并结合实验方法表征关节软骨的生物力学特性。在本研究中,采用有限元方法研究了不同软骨表面半径下接触压力和孔隙压力的生物力学行为。采用压痕试验和有限元相结合的方法对牛肱骨头软骨的弹性模量和渗透性等生物力学特性进行了表征。在有限元分析中发现,与平面软骨相比,曲率软骨的接触压力差异为6%,孔隙压力分布差异为39%。此外,在表征的生物力学性能方面,获得了显著的观察结果,软骨曲率的差异在弹性模量方面达到33%,在渗透性方面达到56%。基于这些结果,关节软骨的表面曲率可以在其生物力学特性的计算建模和表征中发挥重要作用。
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