Department of Mechanical Engineering, Villanova University, 800 Lancaster Avenue, Villanova, PA 19085, USA.
J Mech Behav Biomed Mater. 2011 Oct;4(7):1021-32. doi: 10.1016/j.jmbbm.2011.03.011. Epub 2011 Mar 8.
Evaluating the mechanical response of bone under high loading rates is crucial to understanding fractures in traumatic accidents or falls. In the current study, a computational approach based on cohesive finite element modeling was employed to evaluate the effect of strain rate on fracture toughness of human cortical bone. Two-dimensional compact tension specimen models were simulated to evaluate the change in initiation and propagation fracture toughness with increasing strain rate (range: 0.08-18 s(-1)). In addition, the effect of porosity in combination with strain rate was assessed using three-dimensional models of micro-computed tomography-based compact tension specimens. The simulation results showed that bone's resistance against the propagation of a crack decreased sharply with increase in strain rates up to 1 s(-1) and attained an almost constant value for strain rates larger than 1 s(-1). On the other hand, initiation fracture toughness exhibited a more gradual decrease throughout the strain rates. There was a significant positive correlation between the experimentally measured number of microcracks and the fracture toughness found in the simulations. Furthermore, the simulation results showed that the amount of porosity did not affect the way initiation fracture toughness decreased with increasing strain rates, whereas it exacerbated the same strain rate effect when propagation fracture toughness was considered. These results suggest that strain rates associated with falls lead to a dramatic reduction in bone's resistance against crack propagation. The compromised fracture resistance of bone at loads exceeding normal activities indicates a sharp reduction and/or absence of toughening mechanisms in bone during high strain conditions associated with traumatic fracture.
评估高加载速率下的骨骼机械响应对于理解创伤事故或跌倒中的骨折至关重要。在当前的研究中,采用基于内聚有限元建模的计算方法来评估应变速率对人皮质骨断裂韧性的影响。模拟二维紧凑拉伸试样模型,以评估随着应变速率(范围:0.08-18 s(-1))的增加,起始和扩展断裂韧性的变化。此外,还使用基于微计算机断层扫描的紧凑拉伸试样的三维模型评估了孔隙率与应变速率的组合效应。模拟结果表明,随着应变速率的增加,骨骼对裂纹扩展的阻力急剧下降,在应变速率大于 1 s(-1)时达到几乎恒定的值。另一方面,起始断裂韧性在整个应变速率范围内呈逐渐下降趋势。实验测量的微裂纹数量与模拟中发现的断裂韧性之间存在显著的正相关关系。此外,模拟结果表明,孔隙率的大小并不影响起始断裂韧性随应变速率增加而降低的方式,而当考虑扩展断裂韧性时,它会加剧相同的应变速率效应。这些结果表明,与跌倒相关的应变速率会导致骨骼对裂纹扩展的阻力急剧降低。在高于正常活动的载荷下,骨骼断裂阻力的降低表明在与创伤性骨折相关的高应变条件下,骨骼中的减缓和/或缺乏增韧机制。