基于广义伯格斯模型的岩石损伤蠕变模型

doi:10.16265/j.cnki.issn1003-3033.2019.01.021

摘要/Abstract

摘要： 为了描述岩石加速蠕变阶段的非线性黏塑性变形特征,首先对Kachanov提出的损伤律公式进行积分,推导出损伤变量在加速蠕变阶段随应力和时间的演化方程;然后将理想黏塑性模型中的黏性参数用有效黏性参数来代替,从而建立黏塑性损伤体,将其与广义伯格斯模型中的六元件模型串联,得到一种新的岩石损伤蠕变模型;根据塑性力学推导该模型的三维蠕变方程,采用泊江海子煤矿中砂岩和砂质泥岩的三轴压缩蠕变试验数据验证模型的有效性。结果表明:新的损伤蠕变模型理论曲线与蠕变试验曲线吻合较好,用该损伤蠕变模型可以较好地描述这2种岩石的非线性加速蠕变特性。

关键词: 岩石力学, 加速蠕变, 广义伯格斯模型, 非线性, 损伤

Abstract: In order to describe the nonlinear viscoplastic deformation characteristics of rock in the accelerated creep stage, firstly, an evolution equation of the damage variable with stress and time in the accelerated creep stage was derived by integrating the damage law formula proposed by Kachanov. Then,the viscous parameter in the ideal viscoplastic model was replaced by effective viscous parameter to establish the viscoplastic damage body, and it was connected with the six-element model in the generalized Burgers model to obtain a new rock damage creep model. The three-dimensional creep equation of the model was derived based on plastic mechanics and the effectiveness of the model was verified by triaxial compression creep test data on sandstone and sandy mudstone in Bojianghaizi coal mine. The results show that the theoretical curve obtained by using the damage creep model agrees well with the creep test curve, and the new damage creep model can better describe the nonlinear viscoplastic deformation characteristics of the two kinds of rock in the accelerated creep stage.

Key words: rock mechanics, accelerated creep, generalized Burgers model, nonlinearity, damage

中图分类号:

X936

张亮亮, 王晓健. 基于广义伯格斯模型的岩石损伤蠕变模型[J]. 中国安全科学学报, 2019, 29(1): 125-131.

ZHANG Liangliang, WANG Xiaojian. Rock damage creep model based on generalized Burgers model[J]. China Safety Science Journal, 2019, 29(1): 125-131.

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