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采用随机固热耦合数学模型及有限元分析方法,仅将热膨胀系数和热传导系数作为随机变量,在正态和韦泊两种随机分布下,采用平面应变模型,对热应力引起的岩石热破裂的变化进行了详细研究,模拟了岩石热破裂的整个过程,揭示了概率分布形式、分布参数m对岩石热破裂的影响,讨论了岩石热破裂与时间t的关系,温度与参数m的关系,温度与时间的变化规律,并研究了热破裂率随时间和温度的变化规律。
Based on the stochastic thermal expansion coefficient and thermal conductivity coefficient, the stochastic model is used to simulate the thermal rupture of rock under the random distribution of normal and Weibao. The detailed analysis is carried out to simulate the whole process of rock thermal rupture. The influence of the probability distribution and distribution parameter m on the thermal rupture of the rock is revealed. The relationship between rock thermal rupture and time t, the relationship between temperature and parameter m, temperature And the time variation, and studied the thermal rupture rate changes with time and temperature.