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Design-oriented crushing analysis of hexagonal honeycomb core under in- plane compression

机译：面内压缩下六边形蜂窝状芯的设计导向破碎分析

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The square honeycomb core is compressed quasi-statically and dynamically in order to investigate the mechanical properties of it. The plastic collapse stress under static compression is mathematically discussed by investigating the collapse mechanisms of cells from numerical simulations. Results show that the plastic collapse stress in the y direction is larger than that in the x direction under multi-cell condition, which agrees with the conclusion of numerical simulations. This difference is insensitive to the relative density within a specific range under quasi-static compression. However, it turns to be insignificant when the crushing velocity reaches or exceeds a critical velocity. A reverse method is proposed to estimate this critical velocity. For the equi-biaxial compression analysis, deformation process of the honeycomb is defined to three modes, and the deformation map is drawn. Compared with true stresses in both x and y directions in uniaxial compression, performances of them in equi-biaxial compression are reinforced. To represent the true stress in mathematical way, empirical formula for high velocity compression is derived. The energy absorption capacity is also enhanced, and the process is smoother around the stage of full densification than that under uniaxial compression.
机译：方形蜂窝芯被准静态和动态压缩，以研究其机械性能。通过数值模拟研究细胞的塌陷机理，数学讨论了静态压缩下的塑性塌陷应力。结果表明，在多单元条件下，y方向的塑性塌陷应力大于x方向的塑性塌陷应力，与数值模拟的结论相吻合。在准静态压缩下，该差异对特定范围内的相对密度不敏感。然而，当破碎速度达到或超过临界速度时，它变得无关紧要。提出了一种反向方法来估计该临界速度。为了进行等双轴压缩分析，将蜂窝的变形过程定义为三种模式，并绘制变形图。与单轴压缩中x和y方向的真实应力相比，它们在等双轴压缩中的性能得到了增强。为了以数学方式表示真实应力，导出了高速压缩的经验公式。能量吸收能力也得到增强，并且与单轴压缩相比，在完全致密化阶段的过程更平滑。

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