Firoozbakhsh K, Aleyaasin M
Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran.
J Biomech Eng. 1989 Nov;111(4):355-60. doi: 10.1115/1.3168391.
Theoretical predictions of internal bone remodeling around an elliptical hole are studied. The internal remodeling theory due to Cowin and Hegedus is employed. The bone is modeled as an initially homogeneous adaptive elastic plate with an elliptical hole under a superposed steady compressive load. It is shown that there will exist a final inhomogeneous remodeling distribution around the hole that will disappear away from the hole. The remodeling is such that the compressive stress concentration causes the bone structure to evolve to one of greater density and stiffer elastic coefficients. The speed of remodeling around the hole and its variation with respect to distance is investigated and discussed. It is shown that the rate of bone reinforcement in the area of compressive stress concentration is much higher than the rate of bone resorption in the area of existing tensile stress. Special cases of a circular hole and vertical and horizontal slots are studied and discussed.
研究了椭圆孔周围内部骨重塑的理论预测。采用了考因（Cowin）和赫格杜斯（Hegedus）提出的内部重塑理论。将骨骼建模为一个初始均匀的自适应弹性板，在叠加的稳态压缩载荷下带有一个椭圆孔。结果表明，孔周围最终会存在不均匀的重塑分布，该分布会在远离孔的地方消失。这种重塑使得压缩应力集中导致骨骼结构演变为密度更大、弹性系数更硬的结构。研究并讨论了孔周围的重塑速度及其随距离的变化。结果表明，压缩应力集中区域的骨强化速率远高于现有拉应力区域的骨吸收速率。研究并讨论了圆孔以及垂直和水平狭缝的特殊情况。
