一个扩展的翅膀裂模型破裂和三轴压缩下的砂岩的机械行为
Esraa Alomari1, Kam Ng1, Lokendra Khatri1
1Civil and Architectural Engineering and Construction Management, University of Wyoming, Laramie, WY 82071, USA.
Materials (Basel, Switzerland)
|December 17, 2024
概括
一个新的模型使用断裂力学预测了三轴压缩下的砂岩断裂强度. 它通过分析裂相互作用和长度来准确估计岩石的强度.
科学领域:
- 地质技术工程 地质技术工程
- 材料科学 材料科学 材料科学
- 岩石机械学 岩石机械学
背景情况:
- 在三轴压缩下预测易碎砂岩的机械行为对于工程应用至关重要.
- 现有的模型可能无法完全捕捉影响岩石破裂的复杂裂相互作用.
研究的目的:
- 开发一种新型模型,用于预测三轴压缩下脆性砂岩的断裂强度.
- 用断裂力学来估计故障强度预测的正常化临界裂纹长度 (L).
主要方法:
- 采用翅膀裂模型来计算裂尖端的总应力强度,考虑裂启动和相互作用.
- 导出了正常化的临界裂纹长度 (L),并将其等于裂纹长度.
- 将总应力强度等同于岩石断裂性,以估计故障强度 (σ).
主要成果:
- 拟议的模型准确地预测了三轴压缩下的砂岩断裂强度 (σ).
- 理论预测显示,与怀俄明州砂岩和出版文献中的实验室数据有很强的一致性.
- 与其他模型相比,实现了最低的根平均平方误差 (RMSE) 和平均绝对偏差 (MAD) 值,分别为36.95和30.93.
结论:
- 开发的基于断裂力学模型为预测易碎的砂岩断裂强度提供了一种卓越的方法.
- 模型的准确性是通过对实验数据的性能和与现有失败标准的比较来验证的.
- 这种方法提高了对裂相互作用对岩石机械行为的影响的理解.
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