Anisotropic fractional viscoelastic constitutive models for human descending thoracic aortas
Anisotropic fractional viscoelastic constitutive models for human descending thoracic aortas
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DOI：
10.1016/j.jmbbm.2019.07.010
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发表时间：
2019-11-01
影响因子：
3.9
通讯作者：
Breslaysky, Ivan
中科院分区：
文献类型：
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作者：
Arnabili, Marco;Balasubramanian, Prabakaran;Breslaysky, Ivan
将超弹性材料的广义分数阶Maxwell模型建立在含内变量的非线性粘弹性模型框架内，由体外人胸降主动脉单轴简谐载荷实验数据识别粘弹性本构方程。利用遗传算法对实验数据进行最优拟合，识别出本构参数。将拟合的分数阶模型与麦克斯韦单元数相同的整数阶模型的精度进行了比较。介绍了各向异性非线性粘弹性的初始应变能密度函数的表达式，并通过实验获得了本构参数。
The generalized fractional Maxwell model, formulated for hyperelastic material within the framework of the nonlinear viscoelasticity with internal variables, is applied to identify viscoelastic constitutive equations from layer-specific experimental data obtained by uniaxial harmonic loading of ex-vivo human descending thoracic aortas. The constitutive parameters are identified by using a genetic algorithm for the optimal fitting of the experimental data. The accuracy of the fitted fractional model is compared to the fitted integer order model with the same number of Maxwell elements. The formulation of an original strain energy density function for anisotropic nonlinear viscoelasticity is introduced and constitutive parameters are obtained from the experiments.