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聚脲超弹性模型的反参数识别

Inverse Parameter Identification for Hyperelastic Model of a Polyurea.

作者信息

Xiao Yihua, Tang Ziqiang, Hong Xiangfu

机构信息

School of Mechatronics and Vehicle Engineering, East China Jiaotong University, Nanchang 330013, China.

State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure, East China Jiaotong University, Nanchang 330013, China.

出版信息

Polymers (Basel). 2021 Jul 9;13(14):2253. doi: 10.3390/polym13142253.

Abstract

An inverse procedure was proposed to identify the material parameters of polyurea materials. In this procedure, a polynomial hyperelastic model was chosen as the constitutive model. Both uniaxial tension and compression tests were performed for a polyurea. An iterative inverse method was presented to identify parameters for the tensile performance of the polyurea. This method adjusts parameters iteratively to achieve a good agreement between tensile forces from the tension test and its finite element (FE) model. A response surface-based inverse method was presented to identify parameters for the compression performance of the polyurea. This method constructs a radial basis function (RBF)-based response surface model for the error between compressive forces from the compression test and its FE model, and it employs the genetic algorithm to minimize the error. With the use of the two inverse methods, two sets of parameters were obtained. Then, a complete identified uniaxial stress-strain curve for both tensile and compressive deformations was obtained with the two sets of parameters. Fitting this curve with the constitutive equation gave the final material parameters. The present inverse procedure can simplify experimental configurations and consider effects of friction in compression tests. Moreover, it produces material parameters that can appropriately characterize both tensile and compressive behaviors of the polyurea.

摘要

提出了一种反向程序来识别聚脲材料的材料参数。在该程序中,选择多项式超弹性模型作为本构模型。对一种聚脲进行了单轴拉伸和压缩试验。提出了一种迭代反向方法来识别聚脲拉伸性能的参数。该方法通过迭代调整参数,以使拉伸试验中的拉力与其有限元(FE)模型之间达到良好的一致性。提出了一种基于响应面的反向方法来识别聚脲压缩性能的参数。该方法针对压缩试验中的压力与其有限元模型之间的误差构建基于径向基函数(RBF)的响应面模型,并采用遗传算法使误差最小化。通过使用这两种反向方法,获得了两组参数。然后,利用这两组参数得到了完整的单轴拉伸和压缩变形应力 - 应变曲线。将该曲线与本构方程拟合得到最终的材料参数。目前的反向程序可以简化实验配置,并考虑压缩试验中的摩擦影响。此外,它所产生的材料参数能够恰当地表征聚脲的拉伸和压缩行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/246a/8309456/2c0399da4ffb/polymers-13-02253-g001.jpg

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