Stone J J, Yu H
Department of Mechanical Engineering and Applied Mechanics, North Dakota State University, Fargo 58105, USA.
Biomed Sci Instrum. 1997;34:368-73.
Joint contact analysis of the musculoskeletal system is an important biomedical research topic due to its significant clinical relevance. In this research, the finite element method was used to study the effect of joint congruencies (various radii, R1 and R2), contact area (angles theta), and contact stresses of articular joints (the far-field applied pressure, P = 10,000 Pa). In total, 12 joint congruency cases, ranging from R1/R2 = 100% (congruent) to R1/R2 = -100% (highly incongruent) were analyzed. The linear finite element (quasi-static/equilibrium) results show that peak contact stress delta r of a congruent joint (R1 = R2 theta = 90 degrees) is -13,068 Pa. However, with a slight change of joint congruency (R1/R2 = 99.7%), the contact area decreases dramatically (theta = 30 degrees) and leads to a much higher concentrated contact stress, delta r = -27,894 Pa. When R1/R2 = -100%, the finite element result shows that the contact region is only theta = 3 degrees and the associate peak contact stress delta r is -229,943 Pa.
由于其显著的临床相关性，肌肉骨骼系统的关节接触分析是一个重要的生物医学研究课题。在本研究中，采用有限元方法研究关节一致性（各种半径，R1和R2）、接触面积（角度θ）以及关节（远场施加压力，P = 10,000 Pa）的接触应力的影响。总共分析了12种关节一致性情况，范围从R1/R2 = 100%（一致）到R1/R2 = -100%（高度不一致）。线性有限元（准静态/平衡）结果表明，一致关节（R1 = R2，θ = 90度）的峰值接触应力δr为-13,068 Pa。然而，随着关节一致性稍有变化（R1/R2 = 99.7%），接触面积急剧减小（θ = 30度），并导致更高的集中接触应力，δr = -27,894 Pa。当R1/R2 = -100%时，有限元结果表明接触区域仅为θ = 3度，相关的峰值接触应力δr为-229,943 Pa。
