考虑损伤的岩石非线性蠕变模型  

Nonlinear Creep Model of Rock in Consideration of Damage

作　　者：王晓波[1] 万玲[2] 

机构地区：[1]重庆大学煤矿灾害动力学与控制国家重点实验室,重庆400044 [2]重庆大学航空航天学院,重庆400030

出　　处：《科学技术与工程》2016年第20期1-5,21,共6页Science Technology and Engineering

基　　金：国家自然科学基金项目(11372363)资助

摘　　要：蠕变行为广泛地存在于岩石类材料中,并对岩体的稳定性有着重要的影响。因此,对岩石类材料的蠕变行为进行深入的研究是很有必要的。为了更好地揭示岩石的蠕变机制,结合分数微积分理论,建立了一个考虑损伤的蠕变模型。通过推导元件的蠕变方程,得到了整个模型的蠕变本构方程;并基于广义塑性力学理论对此方程进行了三维应力状态下的扩展。结合一系列的煤岩、泥岩和盐岩三轴蠕变实验,对此模型进行了验证。将此新模型的验证结果和西原正夫模型进行了对比研究。结果表明,此模型能够更好地模拟岩石蠕变的全过程,尤其是加速蠕变。Creep was widely existed in rock materials and has a great influence on the steady of rock mass. So it is necessary to do deep research on the rock creep behavior. A damage creep model was established on the basis of fractional calculus to reveal the creep mechanism of rock. By deducing the constitutive and creep equations of the model components,the creep equation of the new model was obtained. This equation was expanded to triaxial stress condition based on the theory of generalized plastic mechanics. The model was verified by a series of creep experiments on coal rock,mudstone and rock salt. What is more,a comparison between this model and Nishihara Masao model was conducted. The results of comparison show that this new model can simulate the whole process of creep behavior successfully,especially the accelerated creep stage.

关 键 词：岩石 损伤 蠕变模型 三维本构方程 分数微积分 

分 类 号：P555[天文地球—构造地质学]