Numerical analysis and application of stress corrosion model considering strain softening

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Xuejun Wang, Hanxiong Yang, Xiangbo Xiong
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Abstract

The deformation behavior of rock over time dominated by stress corrosion has been an important research topic for a long time. Based on the principle of stress corrosion damage rate and the concept of rock strain softening, a stress corrosion (SSC) model considering rock strain softening was proposed. The model describes the diameter degradation of inter-particle bond and bond fracture caused by stress corrosion in 2D and 3D scales, respectively. The adhesive particles with softening characteristics are used to compose rock samples, and the time-dependent failure analysis of rock aging characteristics is carried out by using adaptive time step. The results show that the SSC model can match the static fatigue test results of Lac du Bonnet granite and the ideal creep behavior curve. At the same time, the long-term stress corrosion failure time of granite is predicted and compared with the existing stress corrosion models and the stress corrosion failure time prediction data, the SSC model can better predict the long-term stress corrosion failure time of granite. In addition, flexible triaxial compression experiments coupled with FDM-DEM (finite difference method and discrete element) were carried out to verify the relationship between the reduction of soft bond diameter and the driving stress ratio of the SSC model. Finally, the SSC model is used to perform uniaxial compression experiments on rock masses with precast cracks, which provides reference for engineering cases from the mesoscale.

Abstract Image

考虑应变软化的应力腐蚀模型的数值分析和应用
长期以来,岩石在应力腐蚀作用下的变形行为一直是一个重要的研究课题。基于应力腐蚀损伤率原理和岩石应变软化概念,提出了考虑岩石应变软化的应力腐蚀(SSC)模型。该模型分别以二维和三维尺度描述了应力腐蚀引起的颗粒间粘接直径退化和粘接断裂。利用具有软化特征的粘合颗粒组成岩石样本,并采用自适应时间步长对岩石老化特征进行随时间变化的破坏分析。结果表明,SSC 模型能与 Lac du Bonnet 花岗岩的静态疲劳试验结果和理想蠕变行为曲线相匹配。同时,预测了花岗岩的长期应力腐蚀破坏时间,与现有的应力腐蚀模型和应力腐蚀破坏时间预测数据相比,SSC 模型能更好地预测花岗岩的长期应力腐蚀破坏时间。此外,还结合 FDM-DEM(有限差分法和离散元)进行了柔性三轴压缩实验,以验证 SSC 模型的软结合直径减小与驱动应力比之间的关系。最后,利用 SSC 模型对带有预制裂缝的岩体进行了单轴压缩实验,为中尺度的工程案例提供了参考。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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