This paper investigates the characterization and numerical modeling of the elastic behavior of the human humerus bone using a recently developed micromechanical approach coupled to nanoindentation measurements. At first, standard three-point bending experiments were conducted under low static loading, using several humerus diaphysis in order to identify the apparent elastic modulus of the bone in static regime. Then, a drop tower impact experiment was used on the same set of humerus diaphysis specimens, in order to assess the elastic modulus in dynamic regime. These measurements will be used as reference bases for comparison purpose. The originality of this work, lies in the coupling between a two-phase micromechanical approach based on Mori-Tanaka homogenization scheme for cylindrical voids and nanoindentation measurements of the elastic modulus of the bone matrix phase. This model has been implemented using a user defined material subroutine VMAT in ABAQUS© Explicit code. The bone mechanical response prediction using the proposed methodology was validated against previous standard experimental data. Finally, it was shown that the numerical predictions are consistent with the physical measurements obtained on human humerus via the good estimation of the ultimate impact load.

本文使用耦合到纳米压痕测量的最新开发的微机械方法，研究了人类肱骨弹性行为的表征和数值模型。首先，使用几种肱骨干physi骨在低静态载荷下进行标准的三点弯曲实验，以便确定静态下骨骼的表观弹性模量。然后，在同一组肱骨干骨标本上进行了落塔冲击实验，以评估动态范围内的弹性模量。这些测量将用作比较的参考基准。这项工作的创意，在于基于基于Mori-Tanaka的圆柱孔均质化方案的两相微机械方法与骨基质相弹性模量的纳米压痕测量之间的耦合。该模型已使用ABAQUS©显式代码中的用户定义的物料子例程VMAT实施。相对于以前的标准实验数据，验证了使用所提出的方法进行的骨力学反应预测。最后，结果表明，数值预测与通过对最终冲击负荷的良好估算而获得的人体肱骨的物理测量结果一致。相对于以前的标准实验数据，验证了使用所提出的方法进行的骨力学反应预测。最后，结果表明，数值预测与通过对最终冲击负荷的良好估算而获得的人体肱骨的物理测量结果一致。相对于以前的标准实验数据，验证了使用所提出的方法进行的骨力学反应预测。最后，结果表明，数值预测与通过对最终冲击负荷的良好估算而获得的人体肱骨的物理测量结果一致。