## 1 Introduction  
The deep mine's coal and rock mechanical environment is intricate, and rock shows different mechanical properties from the shallow part [1; 2]. During the exploitation and utilization of coal resources, there are many rock dynamic problems in the surrounding rock system of the mine, such as roof caving, deformation and fracture, and even rock burst disasters, which seriously affect the safety production of the coal mine. For example, in the Huanan mining area of China, the geothermal gradient reaches 3.2 \({}^{\circ}\)C/100 m, and when the mining depth of some mines reaches 1000 m, the mine temperature can reach 48 \({}^{\circ}\)C [3]. Therefore, the influence of temperature and dynamic and static load coupling should be considered in the study of rock dynamics in deep mines. Taking temperature into account when studying the dynamic behavior of rocks, [PERSON] et al. [4] first carried out impact experiments of sandstone by using an explosive plane wave generator combined with a high-speed rotating mirror camera light gap method. The dynamic tensile characteristics of marble were investigated by [PERSON] et al. [5; 6; 7] in relation to various high temperature conditions and impact loading rates. Marble will have its dynamic tensile strength increased by a high temperature chilling procedure. Marble's dynamic tensile strength increases initially and then falls with increasing temperature when the loading rate is sustained. [PERSON] et al. [8] studied the correlation between marble's dynamic mechanical parameters and loading speed at different temperatures. Peak strain and stress in the marble exhibit clear loading rate impacts, but after the temperature reaches 800 \({}^{\circ}\)C, the loading rate and the peak stress becomes insignificant. [PERSON] et al. [9; 10; 11] studied the sandstone's physical and mechanical parameter characteristics after cooling at temperatures of 25, 200, 400, 600, and 800 \({}^{\circ}\)C. The increase in temperature leads to a gradual decrease in the sandstone's density, longitudinal wave velocity, and peak stress, and the decrease in its longitudinal wave velocity increases after 200 \({}^{\circ}\)C. [PERSON] et al. [12] experimentally studied the effect of different strain rates on the mechanical properties of sandstone after high temperature cooling at 800 \({}^{\circ}\)C. Peak strain decreases logarithmically with increasing strain rate, yet the dynamic elastic modulus and peak stress of sandstone rise logarithmically. [PERSON] et al. [13] studied the dynamic mechanical parameters of granite at different temperatures. There are clear strain rate impacts for granite's dynamic mechanical properties, including dynamic compressible strength and peak strain. The temperature boundary points are 300 \({}^{\circ}\)C and 500 \({}^{\circ}\)C, and there is little change in the dynamic mechanical parameters from room temperature to 300 \({}^{\circ}\)C. When the temperature rises to 500 \({}^{\circ}\)C, the dynamic mechanical parameters of granite significantly decrease. [PERSON] et al. [14] studied the marble's mechanical parameter changes under dynamic load at 250, 500, and 750 \({}^{\circ}\)C. The increase in temperature causes a decrease in the marble's dynamic strength, mainly due to the increase in density and length of microcracks inside the sample caused by thermal stress. [PERSON] et al. [15] studied the effect of temperature and strain rate on the dynamic mechanical properties of granite. The influence of temperature on the dynamic strength and elastic modulus of granite is relatively complex. Additionally, the strain rate and granite's dynamic compressive strength have a favorable correlation at high temperatures. [PERSON] et al. [16] analyzed the sandstone's mechanical properties under different loading rates and six temperature conditions (25, 200, 400, 600, 800, 1000 \({}^{\circ}\)C).