Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801, USA.
J Mech Behav Biomed Mater. 2013 Dec;28:94-110. doi: 10.1016/j.jmbbm.2013.05.025. Epub 2013 Jul 20.
A computational multiscale model of damage mechanisms and strength of lamellar bone is presented. The analysis incorporates the hierarchical structure of bone spanning the nanoscale (mineralized collagen fibril), the sub-microscale (single lamella) and the microscale (lamellar structure) levels. Due to the presence of several constituents (collagen, hydroxyapatite minerals, and non-collagenous proteins) and the different microstructural features at each scale, various deformation and failure mechanisms occur in bone at its several levels of hierarchy. The model takes into account the dominant damage mechanisms at the above mentioned three scales and predicts the strength of bone by using a cohesive finite element method. Elastic moduli of bone at these three different scales are also obtained as part of these calculations. The obtained modeling results compare well with other theoretical and experimental data available in the literature.
提出了一种层状骨损伤机制和强度的计算多尺度模型。该分析结合了跨越纳米级（矿化胶原纤维）、亚微观级（单层）和微观级（层状结构）的骨的层次结构。由于存在几种成分（胶原、羟基磷灰石矿物质和非胶原蛋白）和每个尺度上的不同微观结构特征，骨在其几个层次的结构中会发生各种变形和破坏机制。该模型考虑了上述三个尺度上的主要破坏机制，并使用内聚有限元方法预测骨的强度。这些计算的一部分还获得了这三个不同尺度上的骨弹性模量。得到的建模结果与文献中其他可用的理论和实验数据吻合较好。
