Reliability modeling method and prediction method for stone peak strain at high temperature
A modeling method and reliability technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of lack of distribution and evolution law of peak strain of stone, reduction of structural safety, deterioration of stone mechanical properties, etc. , to achieve the effects of small constraints, strong applicability, and high flexibility
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[0022] According to the data in Figure 5(a) of the reference "Zhai Songtao, Experimental Research on the Macro-Mesoscopic Properties of Rocks at High Temperatures, Master's Degree Thesis, Shanghai Jiao Tong University, 2013", the stone materials at 20°C, 200°C, 400°C, and 600°C Table 1 shows the measured peak strain values and the calculated Fréchet distribution parameters of the peak strain values of each group of stones under the action of 800 °C and 800 °C.
[0023] According to the data in Table 1, establish the relationship function:
[0024] f x (T)=0,
[0025] f a (T)=1.3361ln(T)-3.0312,
[0026] f s (T)=1.574ln(T)-1.8905.
[0027] Table 1 Measured values of stone peak strain at high temperature (10 -3 ) and the calculated Fréchet distribution parameters
[0028]
[0029] According to the relationship function obtained from the above steps, the reliability R corresponding to the peak strain ε of the stone obtained under the action of temperature T is:
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