The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be questionable. To address this uncertainty, numerical simulations are conducted to analyze the behavior of a wide-knit pantographic structure, and the predicted results are compared with those measured experimentally under bias extension testing. The results presented in this study show that the numerical predictions and experimental measurements are in good agreement; therefore, in some useful circumstances, this model is applicable for the analysis of wide-knit pantographic structures.

中文翻译：

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高梯度模型是否也能够预测宽针织受电弓结构的机械行为？

本研究的中心主题是研究为缩放结构开发的二梯度连续介质模型的显着能力。该模型应用于这种超材料的特定类型，即宽针织受电弓。由于这种类型的结构纤维密度低，因此这种连续模型的适用性可能存在问题。为了解决这种不确定性，进行了数值模拟来分析宽针织受电弓结构的行为，并将预测结果与在偏置延伸测试下通过实验测量的结果进行比较。本研究的结果表明，数值预测和实验测量结果吻合良好；因此，在某些有用的情况下，该模型适用于分析宽编织的受电弓结构。