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结合连续强度理论和随机统计分布假设,在常温统计损伤演化方程的基础之上引入温度影响因素,推导了大理岩的高温统计损伤演化方程;采用组合建模的方法,以损伤力学为基础,将统计损伤体引入到粘弹性本构模型中,构建了能够反映温度影响效应的大理岩高温动态统计损伤本构模型。利用带高温装置的分离式霍普金森压杆试验系统进行了大理岩在不同高温与不同加载速率共同作用下的动态力学试验,基于试验结果,确定大理岩高温动态统计损伤本构模型的参数,并对理论模型进行验证,拟合程度较好,可为岩石类脆性材料动态本构关系的进一步研究和工程应用提供参考依据。
Based on the theory of continuous strength and the assumption of stochastic statistical distribution, the influence factors of temperature are introduced based on the statistical damage evolution equation at normal temperature. The evolution equation of statistical damage of marble under high temperature is deduced. Based on the damage mechanics, The statistical damage body is introduced into the viscoelastic constitutive model, and the dynamic statistical damage constitutive model of marble is constructed to reflect the effect of temperature. Dynamic Hopkinson pressure bar test system with high temperature device was used to study the dynamic mechanical tests of marble under the action of high temperature and different loading rates. Based on the test results, the parameters of dynamic statistical damage constitutive model for marble at high temperature were determined, The theoretical model is validated and the fitting degree is good, which can provide reference for the further research on the dynamic constitutive relationship of rock brittle materials and engineering application.