A novel 3D compression–torsion cubic mechanical metamaterial (CTCMM) with double inclined rods is proposed converting axial compression into a torsion. The CTCMM under uniaxial compression is studied by theoretical analysis, experiments and numerical simulations. The relationships between relative densities and geometric parameters are analyzed to meet the needs of lightweight. Based on the derivation of the over-deformation mechanism, the torsion angle is derived by the Timoshenko beam theory. The arrangements of gradient models are designed and fabricated by 3D printing, as the specimens for static compression experiments. Results show that the torsion angles of the numerical and experimental results agree well with the theoretical solution. Moreover, the proposed CTCMM possesses a similar compression–torsion effect compared to previously reported 3D CTCMM. Meanwhile, the improved 3D CTCMM with the better compression–torsion effect is proposed, compared with the original structure, the different phenomenon wherein the torsion angle first increases and then declines. Finally, cell number, variable cross-section and perforated plates all affect the compression–torsion effects of 3D CTCMM. The above research provides a new idea for improving the performance of CTCMM, no longer limited to the deformation mode of a single inclined rod.

提出了一种新颖的带有双斜杆的3D压缩-扭转立方机械超材料（CTCMM），将轴向压缩转化为扭转。通过理论分析，实验和数值模拟研究了单轴压缩下的CTCMM。分析相对密度和几何参数之间的关系，以满足轻量化的需求。基于过度变形机制的推导，通过Timoshenko梁理论推导了扭转角。渐变模型的排列是通过3D打印设计和制造的，作为静态压缩实验的样本。结果表明，数值和实验结果的扭转角与理论解吻合良好。此外，与以前报道的3D CTCMM相比，建议的CTCMM具有类似的压缩扭转效果。同时，提出了一种具有更好的压缩扭力效果的改进型3D CTCMM，与原始结构相比，扭力角先增大后减小的现象有所不同。最后，孔数，可变横截面和穿孔板都会影响3D CTCMM的压缩扭转效果。以上研究为提高CTCMM的性能提供了新思路，不再局限于单根斜杆的变形方式。可变横截面和穿孔板都会影响3D CTCMM的压缩扭力效果。以上研究为提高CTCMM的性能提供了新思路，不再局限于单根斜杆的变形方式。可变横截面和穿孔板都会影响3D CTCMM的压缩扭力效果。以上研究为提高CTCMM的性能提供了新思路，不再局限于单根斜杆的变形方式。