单轴压缩条件下冻土的动态损伤和分形演化规律

基于损伤和分形理论, 对单轴压缩条件下冻土的力学性质进行了研究。建立了损伤变量和分形维数随应力变化的数学经验表达式,并作出了其动态演化曲线。通过演化曲线可以看出,分形维数与损伤变量随应力的递增均呈非线性增加,但分维的变化较平缓;损伤变量在初期变化相对平缓,在后期变化速率明显加快。因此,该研究有助于进一步认识冻土的损伤破坏过程和力学性质。

A timely damage and fractal evolution rule of uniaxial compression for frozen soil

Based on the damage and fractal theory, mechnics property of frozen soil is studied under uniaxial compression. The mathematical experience function of damage variable and fractal dimension is established, and the timely evolution curve is sketched. The evolution curve show known that fractal dimension and damage variable present nonlinear increase with the increment of stress, and the change of fractal dimension is relatively smooth. For damage variable, the change is relatively smooth at beginning, and the change rate obviously speeds up at ending. Therefore, the research conduces to further understand damage process and mathematical property of frozen soil.