An Efficient Method of Modeling Material Properties Using a Thermal Diffusion Analogy: An Example Based on Craniofacial Bone
An Efficient Method of Modeling Material Properties Using a Thermal Diffusion Analogy: An Example Based on Craniofacial Bone
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DOI：
10.1371/journal.pone.0017004
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发表时间：
2011-02-11
期刊：
影响因子：
3.7
通讯作者：
Grosse, Ian R.
中科院分区：
文献类型：
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作者：
Davis, Julian L.;Dumont, Elizabeth R.;Grosse, Ian R.
将详细的几何形状纳入有限元模型的能力使研究人员能够研究形态学对骨骼部件性能方面的影响。这一进展也使研究人员能够探索不同材料模型对骨反应的影响，从简单（例如，各向同性）到复杂（例如，正交异性）。然而，骨的复杂几何结构使得将复杂的材料模型整合到骨的有限元模型中变得困难。这种困难是由于整个骨骼中材料属性的空间方向的变化。我们的分析通过充分利用有限元程序解决热结构问题的能力来解决这个问题。利用温度和模量之间的线性关系，我们在有限元模型的特定节点上播种温度。然后，我们使用热扩散在整个有限元模型中传播模量。最后，求解了有限元模型在外加载荷和约束条件下的力学响应。我们发现，利用热扩散类比来控制整个骨骼结构的模量提供了一种简单有效的空间变化模量方法。结果与实验数据和包含复杂（正交异性）材料模型的有限元模型的结果进行了比较。提出的这种方法将使研究人员能够轻松地将更多的材料属性数据合并到他们的有限元模型中，以提高模型的准确性。
The ability to incorporate detailed geometry into finite element models has allowed researchers to investigate the influence of morphology on performance aspects of skeletal components. This advance has also allowed researchers to explore the effect of different material models, ranging from simple (e.g., isotropic) to complex (e.g., orthotropic), on the response of bone. However, bone's complicated geometry makes it difficult to incorporate complex material models into finite element models of bone. This difficulty is due to variation in the spatial orientation of material properties throughout bone. Our analysis addresses this problem by taking full advantage of a finite element program's ability to solve thermal-structural problems. Using a linear relationship between temperature and modulus, we seeded specific nodes of the finite element model with temperatures. We then used thermal diffusion to propagate the modulus throughout the finite element model. Finally, we solved for the mechanical response of the finite element model to the applied loads and constraints. We found that using the thermal diffusion analogy to control the modulus of bone throughout its structure provides a simple and effective method of spatially varying modulus. Results compare favorably against both experimental data and results from an FE model that incorporated a complex (orthotropic) material model. This method presented will allow researchers the ability to easily incorporate more material property data into their finite element models in an effort to improve the model's accuracy.