On the accuracy and fitting of transversely isotropic material models.
On the accuracy and fitting of transversely isotropic material models.
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横观各向同性材料模型的精度与拟合
DOI：
10.1016/j.jmbbm.2016.04.024
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发表时间：
2016-08
影响因子：
3.9
通讯作者：
Bayly PV
中科院分区：
文献类型：
--
作者：
Feng Y;Okamoto RJ;Genin GM;Bayly PV
纤维增强结构对于生物组织的形式和功能至关重要。超弹性、横观各向同性材料模型被广泛用于此类组织的建模和仿真。许多最广泛使用的模型涉及应变能函数，该应变能函数包括一个或两个伪不变量（I4或I5）以并入存储在纤维中的能量。在以前的研究中，我们表明，这两个不变量必须包括在应变能函数中，如果材料模型是正确地减少到众所周知的框架的横观各向同性线性弹性的限制小变形。即使使用这样的模型，参数的拟合也是一个挑战。在这里，通过评估I4和I5的相对作用，在简单的加载响应，我们确定的加载方案中，以前的模型只占这些不变量之一，可以预期提供准确的估计材料的响应，并确定力学测试，具有特殊的效用，拟合横观各向同性本构模型。结果提供指导横观各向同性本构模型的拟合和解释这些模型的预测。
Fiber reinforced structures are central to the form and function of biological tissues. Hyperelastic, transversely isotropic material models are used widely in the modeling and simulation of such tissues. Many of the most widely used models involve strain energy functions that include one or both pseudo-invariants (I4 or I5) to incorporate energy stored in the fibers. In a previous study we showed that both of these invariants must be included in the strain energy function if the material model is to reduce correctly to the well-known framework of transversely isotropic linear elasticity in the limit of small deformations. Even with such a model, fitting of parameters is a challenge. Here, by evaluating the relative roles of I4 and I5 in the responses to simple loadings, we identify loading scenarios in which previous models accounting for only one of these invariants can be expected to provide accurate estimation of material response, and identify mechanical tests that have special utility for fitting of transversely isotropic constitutive models. Results provide guidance for fitting of transversely isotropic constitutive models and for interpretation of the predictions of these models.