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基于非线性牛顿体的蠕变模型在不同温度条件下的表现。

The creep model based on nonlinear Newton body under different temperature conditions.

机构信息

College of Mining, Liaoning Technical University, Fuxin, 123000, China.

College of Mechanical and Engineering, Liaoning Technical University, Fuxin, 123000, China.

出版信息

Sci Rep. 2023 Mar 24;13(1):4822. doi: 10.1038/s41598-023-31983-0.

Abstract

Mastering the creep deformation characteristics of rock under different temperature conditions is of great significance for studying the long-term stability and deformation mechanism of geotechnical engineering. Based on the classical Burgers model, the creep model under different temperature conditions is established by introducing a nonlinear Newton body. The parameters of the creep model are identified and the influence law of different parameters on rock creep deformation is analyzed. The relationship between model parameters and temperature is quantitatively expressed. The results show that the newly established model can describe the characteristics of the rock in the decay creep stage and the constant creep stage, especially can quantitatively characterize the relationship between the strain and the time of the rock in the tertiary creep under different temperatures conditions. The model fitting curve is highly consistent with the test data, and the correlation coefficient R is above 0.98, which thoroughly verifies the accuracy and rationality of the model. It is found that when the temperature is constant, the creep increases with the increase of the shear modulus of the elastomer G, the shear modulus of the viscoelastic body G, and the viscosity coefficient of the viscous body η in the constant creep stage. The decay creep property of rock is more obvious with the increase of the viscosity coefficient η, and the axial strain tends to a constant value. The achievement can be used to predict the deformation trend of geotechnical engineering with time under different temperature conditions and provide the theoretical basis for long-term stability analysis.

摘要

掌握不同温度条件下岩石的蠕变变形特性,对于研究岩土工程的长期稳定性和变形机制具有重要意义。基于经典的 Burgers 模型,通过引入非线性牛顿体,建立了不同温度条件下的蠕变模型。对蠕变模型的参数进行了识别,并分析了不同参数对岩石蠕变变形的影响规律。定量表达了模型参数与温度之间的关系。结果表明,新建立的模型可以描述岩石在衰减蠕变阶段和恒速蠕变阶段的特征,特别是可以定量描述不同温度条件下岩石在三级蠕变阶段应变与时间的关系。模型拟合曲线与试验数据高度吻合,相关系数 R 均在 0.98 以上,充分验证了模型的准确性和合理性。发现当温度恒定时,在恒速蠕变阶段,岩石的蠕变随弹性体 G 的剪切模量、粘弹性体 G 的剪切模量和粘性体 η 的粘度系数的增加而增加。岩石的衰减蠕变特性随着粘性系数 η 的增加而更加明显,轴向应变趋于一个常数。该成果可用于预测不同温度条件下岩土工程随时间的变形趋势,为长期稳定性分析提供理论依据。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6dbe/10039072/3ca34a9798e7/41598_2023_31983_Fig1_HTML.jpg

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