Abstract：In Preisach-Mayergoyz(PM) space，whether the hysteretic mesoswpic units(HMU) response to the applied forces and temperature or not is uncertain，these responses will lead to the instability of hysterisis loops of rocks under cycle loading. The transformation probability of meso structure varies with the external forces and temperature. It could be concluded from the experiments of the uniaxial compression and conventional triaxial compression that when the frequency turns higher，the transformation probability of meso structure reduces；the times of the self-consistent adjustment become shorter and the hysteresis loops tend to be stable more easily. Meanwhile，with the increase of temperature，the transformation probability of meso structure increases；the times of the self-consistent adjustment become longer and the hysteresis loops disperse and tend to be unstable with the increasing of the strain. Thus，reducing frequency and raising temperature could lead to the same result，i. e. the instability of hysteresis loops. All these might show that reducing frequency and raising temperature are equivalent. These results of the equivalence of the frequency/time and the temperature are meaningful to the large-scale underground project and the deep disposal of nuclear waste and CO2.
