Energy Evolution Mechanism and Constitutive Model of Sandstone Subjected to Different Temperatures
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摘要:
为研究高温对砂岩物理力学性能劣化的影响,本文开展不同温度热处理砂岩的单轴压缩试验. 首先,分析力学强度和破断模式,获得砂岩宏观力学参数的劣化特征;其次,研究不同温度对砂岩能量演化机制及弹性能耗比的影响;最后,基于温度和荷载损伤因子,采用分段函数方法构建考虑裂纹闭合阶段的热-力耦合损伤本构模型. 研究结果表明:随着温度的增加,砂岩峰值强度和弹性模量先增加后减小,在200 ℃时达到最大值;破断模式由倾斜剪切破坏向“Y”型共轭拉-剪混合破坏转变,脆-延性转变的临界温度阈值为400 ℃;根据耗散能演化特征将整个变形破裂过程划分为裂纹闭合阶段、弹性阶段、宏观裂纹扩展阶段和峰后阶段;弹性能耗比(
K )的拐点可作为砂岩由弹性向塑性转变的突变点;模型尺寸参数(m )随温度升高先上升后下降,形状参数(n )逐渐降低,该参数也能反映砂岩的强度和塑性特征,理论模型与室内试验结果吻合度较高,说明本模型能够反演热-力耦合下砂岩损伤演化全过程.Abstract:To investigate the effect of high temperature on the deterioration of the physical and mechanical properties of sandstone, uniaxial compression tests were conducted on thermally-treated sandstone subjected to different temperatures. Firstly, the deterioration characteristics of macroscopic mechanical parameters of sandstone were obtained through the analysis of mechanical strength and failure modes. Secondly, the influence of different temperatures on the energy evolution mechanism and elastic energy dissipation ratio of sandstone was studied. Finally, combined with the temperature and load damage factor, the piecewise function method was applied to develop a thermo-mechanical coupling damage constitutive model, considering the crack closure stage. The results show that as temperature increases, the peak strength and elastic modulus of thermally-treated sandstone increase first and then decrease, reaching a maximum value at 200 ℃. The failure mode transforms from oblique shear to “Y”-shaped conjugate tension–shear mixed failure, with the critical temperature threshold for the brittle and ductile transition occurring at 400 ℃. Based on dissipated energy evolution characteristics, the deformation and failure process is primarily divided into crack closure, elastic, macro-crack extension, and post-peak stages. The turning point of the elastic energy dissipation ratio (
K ) serves as the critical point where sandstone transitions from elastic to plastic behavior. The model’s size parameter (m ) first increases and then decreases with increasing temperature, while the shape parameter (n ) gradually decreases, reflecting the strength and plasticity of sandstone. The good agreement between the theoretical model and the laboratory results indicates that the model can invert the whole process of damage development of sandstone under thermo-mechanical coupling conditions.-
Key words:
- rock mechanics /
- thermally-treated sandstone /
- dissipated energy /
- constitutive model
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