## 3 Results and Discussions
### Discussions  
This paper undertakes an analysis of the CDS and CPS observed in frozen silty clay across a range of temperatures and moisture contents, utilizing a series of dynamic triaxial tests as the foundation for our investigation. The findings indicate that as temperature decreases, the CDS under both plastic stability and plastic creep limits experiences a gradual increase. This temperature reduction prompts soil freezing, resulting in a gradual decline in unfrozen water content within pores and a corresponding rise in ice particle content. The heightened proportion of ice particles enhances the cementing effect, strengthening the bonds between soil particles. Consequently, under constant other conditions, lower temperatures lead to a more robust frozen silty clay, increasing its resistance to deformation. Hence, with all other factors remaining constant, a reduction in temperature leads to an augmentation in the strength of frozen silty clay, which in turn elevates its resistance to deformation and consequently increases the CDS; As the water content increases, the CDS within the bounds of plastic stability and plastic creep undergoes a gradual decrease. Moreover, under the influence of long-term reciprocal loading, this critical stress experiences a slow decline. When the water content is low, the proportion of ice particles rises, but the augmentation in ice cementation is not substantial, failing to effectively contribute to deformation resistance. Consequently, the CDS diminishes at a slow pace. Under prolonged cyclic loading conditions, a low water content leads to a marked increase in the proportion of ice particles, accompanied by an enhancement in the cementation among these particles. This reinforcement of the structural integrity significantly boosts the deformation resistance, resulting in an upward trend for the CDS. CDS is an important mechanical index to measure the stability of permafrost roadbed, comparing the existing research on CDS of permafrost, [PERSON] et al. (2018) collected multi-year permafrost samples from the Qinghai-Tibet region and conducted investigation of the soil samples' CDS and permanent deformation behavior under repeated freezing and thawing cycles, utilizing dynamic triaxial testing. Their findings indicated that the CDS of the embankment soil underwent a rapid decline during the initial two cycles of freezing and thawing, followed by a tendency towards stabilization in subsequent cycles. [PERSON] et al. focused on the study of dynamic properties under the action of freeze-thaw cycles, while this paper mainly focuses on the effects of temperature and moisture content changes on the dynamic properties of permafrost. Comparing the existing studies on the CDS of unfrozen soil, [PERSON] et al. (2018) undertook a thorough examination of the CDS and deformation characteristics of volcanic ash under both monotonic and dynamic loading scenarios, employing a comprehensive set of monotonic and dynamic triaxial tests. Their investigation revealed that these characteristics were significantly influenced by various factors, including stress level, water content, and the magnitude of the dynamic stress. Notably, when the volcanic ash in an unsaturated state exhibited plastic stability, they observed a positive correlation between the dynamic stress and water content, wherein an increase in water content led to an elevation in the dynamic stress. In the case of volcanic ash being in a plastic stabilized state within an unsaturated condition, an increase in water content results in a decrease in dynamic stress, a finding that echoes the trend observed for the CDS of permafrost studied in this paper. Most of the existing studies on the CDS in frozen clay focus on the constitutive modeling, while this paper focuses on the empirical studies on the changes in CDS under different environments.