Hogan H A
Department of Mechanical Engineering, Texas A&M University, College Station 77843-3123.
J Biomech. 1992 May;25(5):549-56. doi: 10.1016/0021-9290(92)90095-i.
A finite-element micromechanics model for Haversian cortical bone tissue has been developed and studied. The model is an extension of two-dimensional micromechanics techniques for fiber-reinforced composite materials. Haversian systems, or secondary osteons, are considered to be the fiber component, and interstitial lamellar bone the matrix material. The cement line is included as an 'interphase' component along the fiber/matrix interface. The model assumes a regular repeatable spacing of the longitudinally aligned continuous fibers and is, therefore, restricted to approximating Haversian cortical bone in its present form. Haversian porosity is modeled explicitly by incorporating a hollow fiber to represent the Haversian canal. Solutions have been obtained by applying uniform macroscopic stresses to the boundaries of the repeating unit cell model. Macroscopic mechanical property predictions correspond reasonably well with the experimental data for cortical bone, but are necessarily dependent on the input properties for each constituent, which are not well established. The predicted variation in the elastic modulus with porosity is not as sensitive as that observed experimentally. Stresses within the constituents can also be modeled with this method and are demonstrated to deviate from the macroscopic applied stress levels.
已经开发并研究了一种用于哈弗斯骨皮质骨组织的有限元微观力学模型。该模型是纤维增强复合材料二维微观力学技术的扩展。哈弗斯系统或次级骨单位被视为纤维成分，而骨间质板层骨则为基体材料。黏合线作为沿纤维/基体界面的“界面相”成分包含在内。该模型假定纵向排列的连续纤维具有规则的可重复间距，因此仅限于以其当前形式近似哈弗斯骨皮质骨。通过纳入空心纤维来表示哈弗斯管，明确地对哈弗斯孔隙率进行了建模。通过对重复单元模型的边界施加均匀的宏观应力来获得解决方案。宏观力学性能预测与皮质骨的实验数据相当吻合，但必然依赖于每个成分的输入属性，而这些属性尚未完全确定。预测的弹性模量随孔隙率的变化不如实验观察到的那样敏感。成分内的应力也可以用这种方法进行建模，并证明其偏离宏观施加的应力水平。
