Structure and Motion Laboratory, Department of Veterinary Basic Sciences, The Royal Veterinary College, University of London, London, UK.
J R Soc Interface. 2012 Feb 7;9(67):351-61. doi: 10.1098/rsif.2011.0323. Epub 2011 Jul 13.
Finite element modelling is well entrenched in comparative vertebrate biomechanics as a tool to assess the mechanical design of skeletal structures and to better comprehend the complex interaction of their form-function relationships. But what makes a reliable subject-specific finite element model? To approach this question, we here present a set of convergence and sensitivity analyses and a validation study as an example, for finite element analysis (FEA) in general, of ways to ensure a reliable model. We detail how choices of element size, type and material properties in FEA influence the results of simulations. We also present an empirical model for estimating heterogeneous material properties throughout an elephant femur (but of broad applicability to FEA). We then use an ex vivo experimental validation test of a cadaveric femur to check our FEA results and find that the heterogeneous model matches the experimental results extremely well, and far better than the homogeneous model. We emphasize how considering heterogeneous material properties in FEA may be critical, so this should become standard practice in comparative FEA studies along with convergence analyses, consideration of element size, type and experimental validation. These steps may be required to obtain accurate models and derive reliable conclusions from them.
有限元建模在比较脊椎动物生物力学中已经根深蒂固,是评估骨骼结构机械设计和更好地理解其形态-功能关系复杂相互作用的工具。但是,是什么使一个可靠的特定于主题的有限元模型成为可能呢?为了探讨这个问题,我们在这里提出了一组收敛性和敏感性分析以及验证研究作为一个例子,一般来说,为了确保模型的可靠性,有限元分析(FEA)有多种方法。我们详细介绍了 FEA 中元素大小、类型和材料属性的选择如何影响模拟结果。我们还提出了一种估计象股骨内异质材料属性的经验模型(但具有广泛的 FEA 适用性)。然后,我们使用尸体股骨的离体实验验证测试来检查我们的 FEA 结果,发现异质模型与实验结果非常吻合,比均匀模型好得多。我们强调了在 FEA 中考虑异质材料属性的重要性,因此这应该成为比较 FEA 研究中的标准实践,以及收敛性分析、元素大小、类型和实验验证的考虑。为了从这些模型中获得准确的结果并得出可靠的结论,可能需要采取这些步骤。