Abstract This paper focuses on a newly-developed method for the extraction of the accurate hyper-viscoelastic model parameters of open-cell polymer foams and rubber-like materials. Although the parameter identification method is developed for strain-controlled uniaxial tension/compression, the finite time increment-based approach used can be extended to other experimental loading modes, such as simple and pure shear, biaxial tension/compression, and confined compression. Furthermore, the method makes it possible to use any hyperelastic material model and to extract the constitutive model parameters of both compressible and incompressible hyper-viscoelastic solids subjected to arbitrary strain (stretch) history. The applicability of the method and the reliability of the constitutive model parameters determined from the numerical prediction of the stress response are proved through the comparison of finite element and measurement results. Finally, the material model parameters of an incompressible isoprene rubber and a compressible polyurethane foam extracted with the proposed method and those determined with the two-step and the direct (closed-form) method are used to compare the accuracy of the predicted behaviours. It clearly revealed that the constitutive constants extracted using the proposed direct (numerical) method result in the best agreement between the measurement and the simulation.

中文翻译：

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高精度确定开孔聚合物泡沫和类橡胶材料的超粘弹性模型参数

摘要 本文重点研究一种新开发的方法，用于提取开孔聚合物泡沫和类橡胶材料的精确超粘弹性模型参数。虽然参数识别方法是为应变控制的单轴拉伸/压缩而开发的，但所使用的基于有限时间增量的方法可以扩展到其他实验加载模式，例如简单和纯剪切、双轴拉伸/压缩和受限压缩。此外，该方法可以使用任何超弹性材料模型并提取受任意应变（拉伸）历史影响的可压缩和不可压缩超粘弹性固体的本构模型参数。通过有限元与实测结果的对比，证明了该方法的适用性和由应力响应数值预测确定的本构模型参数的可靠性。最后，使用所提出的方法提取的不可压缩异戊二烯橡胶和可压缩聚氨酯泡沫的材料模型参数以及通过两步法和直接（封闭形式）方法确定的参数用于比较预测行为的准确性。它清楚地表明，使用建议的直接（数值）方法提取的本构常数导致测量和模拟之间的最佳一致性。使用所提出的方法提取的不可压缩异戊二烯橡胶和可压缩聚氨酯泡沫的材料模型参数以及通过两步法和直接（封闭形式）方法确定的参数用于比较预测行为的准确性。它清楚地表明，使用建议的直接（数值）方法提取的本构常数导致测量和模拟之间的最佳一致性。使用所提出的方法提取的不可压缩异戊二烯橡胶和可压缩聚氨酯泡沫的材料模型参数以及通过两步法和直接（封闭形式）方法确定的参数用于比较预测行为的准确性。它清楚地表明，使用建议的直接（数值）方法提取的本构常数导致测量和模拟之间的最佳一致性。