使用Ogden模型和一类替代本构模型对脑组织弹性进行建模
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models
AI总结：
针对Ogden模型用于脑组织变形研究时存在的应变能函数非凸、应力-拉伸曲线凹性预测错误等缺陷，提出一类不受测试方案伪影影响、拟合效果更优的替代本构模型。
摘要：
Ogden模型常被文献当作脑组织变形研究的标准模型。本文表明，在部分这类应用中，使用Ogden模型会导致应变能函数非凸，且在变形域的一定范围内错误预测实验应力-拉伸曲线的正确凹性。相比之下，我们提出了一类模型，既能对所研究的数据集实现良好拟合，又不存在Ogden模型的上述突出缺陷。我们讨论发现，这些缺陷可能源于测试方案的伪影，而所提出的这类模型被证明不受此类伪影影响。
英文摘要：
The Ogden model is often considered as a standard model in the literature for application to the deformation of brain tissue. Here we show that, in some of those applications, the use of the Ogden model leads to non-convexity of the strain-energy function and mis-prediction of the correct concavity of the experimental stress-stretch curves over a range of the deformation domain. By contrast, we propose a family of models which provides a favourable fit to the considered datasets while remaining free from the highlighted shortcomings of the Ogden model. While, as we discuss, those shortcomings might be due to the artefacts of the testing protocols, the proposed family of models proves impervious to such artefacts.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
