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A statistical thermal damage constitutive model for rock considering characteristics of the void compaction stage based on normal distribution
Bulletin of Engineering Geology and the Environment ( IF 4.2 ) Pub Date : 2022-07-09 , DOI: 10.1007/s10064-022-02794-w
Zhennan Zhu , Shengqi Yang , Pathegama Gamage Ranjith , Hong Tian , Guosheng Jiang , Bin Dou

Given the major impact of thermal treatment on the deformation and failure characteristics of rocks in deep rock engineering, it is crucial to understand the relevant behaviors of rocks with the temperature effect being taken into account. For this purpose, the deformation of rocks after exposure to high temperature is divided into void and skeleton portions based on the deformation analysis of rock mechanics. Then, a constitutive statistical model for rocks is established by assuming that the probability density function of the stress level of rock mesoscopic elements is consistent with normal random distribution, and the thermal damage variable is introduced. The theoretical results of the thermal damage deformation model based on characteristics of the void compaction stage are well in line with experimental data from conventional compression tests of Nanan granite after high temperature. Optical microscopy shows that the obvious void compaction stage is related to the propagation and development of original and initiated microcracks. Compared to the classic damage model, the improved model better captures the void compaction stage of the strain–stress curves of granite after high temperature. The extreme value method was used to determine the normal statistical distribution parameters based on conventional rock mechanical tests. This theoretical model is therefore convenient in engineering applications involving high-temperature effects.



中文翻译:

基于正态分布的考虑空隙压实阶段特征的岩石统计热损伤本构模型

鉴于热处理对深部岩石工程中岩石变形和破坏特性的主要影响,在考虑温度效应的情况下了解岩石的相关行为至关重要。为此,在岩石力学变形分析的基础上,将岩石暴露于高温后的变形分为空隙部分和骨架部分。然后,假设岩石细观单元应力水平的概率密度函数符合正态随机分布,建立岩石本构统计模型,并引入热损伤变量。基于空隙压实阶段特征的热损伤变形模型的理论结果与南安花岗岩高温后常规压缩试验的实验数据吻合较好。光学显微镜显示,明显的空隙压实阶段与原始和初始微裂纹的扩展和发展有关。与经典损伤模型相比,改进后的模型更好地捕捉了高温后花岗岩应变-应力曲线的空隙压实阶段。在常规岩石力学试验的基础上,采用极值法确定正态统计分布参数。因此,该理论模型在涉及高温效应的工程应用中很方便。光学显微镜显示,明显的空隙压实阶段与原始和初始微裂纹的扩展和发展有关。与经典损伤模型相比,改进后的模型更好地捕捉了高温后花岗岩应变-应力曲线的空隙压实阶段。在常规岩石力学试验的基础上,采用极值法确定正态统计分布参数。因此,该理论模型在涉及高温效应的工程应用中很方便。光学显微镜显示,明显的空隙压实阶段与原始和初始微裂纹的扩展和发展有关。与经典损伤模型相比,改进后的模型更好地捕捉了高温后花岗岩应变-应力曲线的空隙压实阶段。在常规岩石力学试验的基础上,采用极值法确定正态统计分布参数。因此,该理论模型在涉及高温效应的工程应用中很方便。在常规岩石力学试验的基础上,采用极值法确定正态统计分布参数。因此,该理论模型在涉及高温效应的工程应用中很方便。在常规岩石力学试验的基础上,采用极值法确定正态统计分布参数。因此,该理论模型在涉及高温效应的工程应用中很方便。

更新日期:2022-07-10
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