Abstract This paper presents new numerical stress solutions for predicting the stress response of hyper-visco-pseudo-elastic solids. It is pointed out that they can be used to identify the constitutive constants of filled rubber-like materials subjected to arbitrary strain history. The constitutive constants are found by minimising the difference between the predicted and the measured stress response. The stress solutions are based on a finite time increment approach and are derived for uniaxial and equibiaxial tension/compression as well as pure and simple shear. The stress solutions make it possible to apply any hyperelastic material model and user-defined damage parameter. Furthermore, the material model parameters may be determined for each loading mode separately or any combination of the different loading modes. With the purpose of demonstrating the application of the stress solution-based parameter identification method used, as a first step, uniaxial cyclic tension tests had been performed on a carbon black filled EPDM rubber. Then, the calibration process was presented in details, applied at a strain rate of 0.01 1/s and the effectiveness of the proposed and the frequently used inverse parameter identification method was compared. Finally, the stress solution-based parameter identification was performed by considering measurements made at different strain rate simultaneously.

中文翻译：

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新的数值应力解决方案可有效校准超粘滞伪弹性材料模型

摘要 本文提出了新的数值应力解，用于预测超粘滞伪弹性固体的应力响应。指出它们可用于识别受任意应变历史影响的填充橡胶类材料的本构常数。通过最小化预测应力响应和测量应力响应之间的差异来找到本构常数。应力解基于有限时间增量方法，并针对单轴和等双轴拉伸/压缩以及纯剪切和简单剪切导出。应力解决方案可以应用任何超弹性材料模型和用户定义的损坏参数。此外，可以针对每种加载模式单独地或不同加载模式的任何组合来确定材料模型参数。为了展示所使用的基于应力解的参数识别方法的应用，作为第一步，对炭黑填充的 EPDM 橡胶进行了单轴循环拉伸试验。然后，详细介绍了校准过程，应用在 0.01 1/s 的应变速率下，并比较了所提出的和常用的反参数识别方法的有效性。最后，通过同时考虑在不同应变率下进行的测量来执行基于应力解的参数识别。01 1/s 并比较了所提出的和常用的逆参数识别方法的有效性。最后，通过同时考虑在不同应变率下进行的测量来执行基于应力解的参数识别。01 1/s 并比较了所提出的和常用的逆参数识别方法的有效性。最后，通过同时考虑在不同应变率下进行的测量来执行基于应力解的参数识别。