为了阐明循环加卸载路径对六边形蜂窝能量演化的影响规律，本文设计了三种不同分级循环加卸载试验，揭示了不同分级循环加卸载模式下外界输入总能量、弹性变形能、耗散能、塑性变形能等参数的演化特征及相互关系，研究结果表明：不同分级循环加卸载作用下，蜂窝的初始峰值强度和平台应力与卸载过程蜂窝弹性能的释放程度有关；三种不同分级循环加卸载模式下外界输入总能量、蜂窝的弹性变形能和塑性变形能随加卸载梯级增大呈现非线性增加的趋势，耗散能在前三级循环作用下随加载次数增加而减小，在最后一级循环中循环载荷上限较大，扰动效应强于强化效应，耗散能呈现相反趋势；提升循环载荷上限，蜂窝内部损伤增加，且越接近蜂窝初始峰值强度，蜂窝的损伤越严重；同时提升循环载荷下限，蜂窝弹性能释放较少，损伤加剧。本文研究成果有助于揭示不同分级循环加卸载模式下蜂窝的损伤和失稳破坏机制，为蜂窝在矿山、地下空间等环境中的应用奠定理论基础。

In order to elucidate the influence of cyclic loading and unloading paths on the energy evolution of hexagonal honeycomb, three different graded cyclic loading and unloading tests were designed, and the evolution characteristics and interrelationships of total external input energy, elastic deformation energy, dissipation energy and plastic deformation energy under different graded cyclic loading and unloading modes were revealed. The results show that the initial peak strength and platform stress of the honeycomb are related to the elastic energy release during the unloading process. Total external input energy, elastic deformation energy and plastic deformation energy of the honeycomb show a nonlinear increase with the increase of the number of unloading levels. However, the dissipation energy decreases with the number of unloading levels in the first three cycles, and the upper limit of the cycle load is larger in the last stage. The disturbance effect is stronger than the enhancement effect, and the dissipation energy shows an opposite trend. When the upper limit of the cyclic load is raised, the damage inside the honeycomb increases, and the closer to the initial peak strength of the honeycomb, the more serious the damage is. Besides, when the lower limit of the cyclic load is raised, less elastic energy is released, and the damage is intensified. The research achievements could be beneficial to revealing the damage and instability mechanism of honeycomb under different stress paths, and lays the theoretical foundation for honeycomb applications in mines and underground spaces.

煤炭开采水资源保护与利用国家重点实验室开放基金项目 (GJNY-20-113-01)