冲击载荷下三轴煤体动力学分析及损伤本构方程

Dynamics analysis and damage constitute equation of triaxial coal mass under impact load

  • 摘要: 为研究冲击载荷下三轴煤体的动力学特征,建立了三轴分离式霍普金森压杆(SHPB)试验系统,开展了轴向静载、围压和冲击载荷随机组合的动态冲击试验,研究了三轴煤体在冲击载荷下的动力学特性。实验结果表明:冲击载荷下三轴煤体动态应力应变曲线无压密阶段,轴向预静载有助于使煤体原生裂隙闭合,初始加载就表现出完整弹性体的特征;当应力达到峰值强度的60%~85%阶段时,应力应变曲线呈现“跃进”现象,可能与碳在晶体微破裂中的作用有关;当应力超过煤体动态强度,试样破坏,应力降低。冲击载荷下三轴煤体动态强度和破坏应变与平均应变率高度线性相关,应变率效应明显,应变率效应使得不同轴向静载、围压和冲击载荷因素对煤体动态强度和破坏应变的影响具有可比性。基于岩石力学强度理论和统计损伤理论,建立了冲击载荷下三轴煤体动态损伤本构模型,该模型综合考虑了轴向静载、围压和冲击载荷等因素,明确地反映了3种因素对煤体动力学特征的影响,轴向静载会劣化煤体,造成动态强度降低,围压和冲击载荷有助于提高煤体的动态强度,理论模型反映的特征与试验结果相吻合,并通过建立的本构模型和试验应力应变数据拟合了理论应力应变曲线,其与试验应力应变曲线基本重合,且应变率越高,一致性越好。

     

    Abstract: To study the dynamics characteristics of triaxial coal mass under impact load,the triaxial separated hopkin- son pressure bar (SHPB) experiment system was built,and the dynamic impact tests were carried out under the ran- dom combination of axial static load,confining pressure and impact load. The dynamics characteristics at these condi- tions were studied. The experimental results showed that there was no compaction stage in the dynamic stress-strain curves of triaxial coal under impact load. The pre-axial static load would cause the closure of protogenetic fractures, which indicated the feature of complete elastic body at the initial loading stage. When the stress reached 60% -85% of the peak strength,the stress-strain curves presented a “leap” phenomenon,which might be related to the role of char- coal in coal crystal micro-fracture. When the stress exceeded the dynamic compressed strength of coal samples,it de- creased and coal samples were destroyed. Under the impact load,both the dynamic strength and failure strain of triaxial coal increased linearly with the strain rate,which indicated the obvious strain rate effects. And the strain rate effects made the influence of axial static load,confining pressure and impact load to the dynamic strength and failure strain of coal was of comparability. Based on the strength theory of rock mechanics and the statistical damage theory,the dynam- ic damage constitutive model of triaxial coal under impact load was established,in which the factors of axial static load,confining pressure and impact load were taken into account. It was determined that the influences of these three factors to dynamics characteristics. The axial static load would damage coal and lead to the decrease in dynamic strength,while confining pressure and impact load were helpful to improve the dynamic strength. The characteristics re- flected by the theoretical model were consistent with the experimental results. Using the built theoretical model and ex- perimental stress-strain data,the theoretical stress-strain curves were fitted,which were identical with the experimental results,and the higher the strain rate,the higher the fitting degree.

     

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