Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC

WANG Hai-jun; YU Shu-yang; REN Ran; TANG Lei; LI Xin-yun; JIA Yu

doi:10.16285/j.rsm.2018.0681

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Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC

更新时间：2026-06-25

- Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC
- Vol. 40, Issue 6, Pages: 2200-2212(2019)
- 作者机构：
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- DOI：10.16285/j.rsm.2018.0681
  CLC： TU45
- Online First：22 June 2019，
  
  Published：2019
- 稿件说明：
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WANG Hai-jun, YU Shu-yang, REN Ran, et al. Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC[J]. 2019, 40(6): 2200-2212.
DOI：

WANG Hai-jun, YU Shu-yang, REN Ran, et al. Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC[J]. 2019, 40(6): 2200-2212. DOI： 10.16285/j.rsm.2018.0681.

摘要

孔口问题为力学领域中经典问题之一，也是岩土如隧洞、巷道等工程领域重要的问题之一。随断裂力学的发展，对含裂纹孔口问题的研究也不断深入。但是，以往研究多集中在二维问题或者含表面裂纹的孔口问题，含纯内裂纹的孔口问题研究报道较少。基于3D-ILC技术（对表面无任何影响的情况下，凭空生成任意参数的深埋内裂纹），在含有孔口的脆性材料中生成内裂纹，开展单轴压缩试验，与无裂纹完整孔口试样试验结果及已有文献进行对比，并开展理论与数值模拟研究。结果表明：（1）3D-ILC与传统方法相比，裂纹特征更为真实，为解决断裂力学中的三维内裂纹问题奠定了基础；（2）完整孔口试样裂纹形态主要有主裂纹与八字形裂纹；（3）含内裂纹试样裂纹形态以内裂纹扩展为主，主要有翼裂纹、次生裂纹、反翼裂纹、反向次生裂纹、竖向扭曲裂纹与主裂纹6种；（4）含裂纹孔口试样最终的破坏荷载比无裂纹孔口试样平均低76.49%，起裂应力较无裂纹孔口试样平均低96.72%；（5）通过数值模拟对完整孔口试样、含主裂纹孔口试样、含内裂纹孔口试样的裂纹扩展进行定性分析，与试验结论一致。该研究结果为含三维内裂纹的孔口脆性材料的断裂理论研究提供了物理试验基础。

Abstract

The stress analysis of the circular hole is one of the classical problems in the mechanics

and as well in tunnel and roadway engineerings. With the development of fracture mechanics

the research on the hole with cracks has been deepened. However

previous studies mainly focused on the two-dimensional problems or holes with surface cracks

and there are few reports on the hole problems with three-dimensional internal cracks. Firstly

based on the 3D-ILC method

the deep internal cracks were generated in brittle materials containing circular holes. The uniaxial compression tests were performed on the specimens with internal cracks. The experimental results are compared with the existing literatures

and the theoretical and numerical simulation studies are carried out. Results show that: 1) Compared with traditional methods

the 3D-ILC method has more realistic crack characteristics and lays a foundation for solving the three-dimensional internal crack problem in fracture mechanics. 2) The main crack shapes of intact specimens are the primary crack and remote crack. 3) For the specimenes with internal cracks

the main crack shapes are the wing crack

secondary crack

anti-wing crack

anti-secondary crack

vertical torsional crack and primary crack. 4) The ultimate failure load of the specimen with cracks is 76.49% of the intact specimen

while the crack initiation stress is 96.72%. 5) The simulation results are in accordance with the experimental results. This study provides an experimental basis for the corresponding theoretical research.

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Related Author

WANG Hai-jun

YU Shu-yang

TANG Zi-xuan

TANG Lei

REN Ran

XU Jin

ZHANG Zhi-tao

WANG Hai-jun

Related Institution

State Key Laboratory of Hydrology-Water Resource and Hydraulic Engineering, Nanjing Hydraulic Research Institute

Collaborative Innovation Center on Water Safety and Water Science, Hohai University

Huatian Corporation, China Metallurgical Group Corporation

Ecole Nationale Supérieure de Techniques Industrielles et des Mines de Douai, Douai

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute

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