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含圆孔和内部裂纹脆性固体破坏特性的试验与数值研究

Experimental and Numerical Study on the Failure Characteristics of Brittle Solids with a Circular Hole and Internal Cracks.

作者信息

Le Chengjun, Ren Xuhua, Wang Haijun, Yu Shuyang

机构信息

College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China.

Sichuan Woneng Investment Group Co., Ltd. Chengdu 610031, China.

出版信息

Materials (Basel). 2022 Feb 14;15(4):1406. doi: 10.3390/ma15041406.

Abstract

A stress analysis of a circular hole is one of the classical problems in mechanics. Internal cracks are inherent properties of materials, and they are mostly three-dimensional in form. However, studies on hole problems with three-dimensional internal cracks are still lacking. In this paper, internal cracks were generated in brittle materials containing circular holes based on 3D internal laser-engraved crack technology. Then, uniaxial compression tests were performed. The experimental results were compared with the existing literature, and theoretical and numerical simulation studies were carried out. The results show that: (1) The main crack shapes are the primary cracks and remote cracks. (2) The dynamic fracture characteristics existed in the formation of primary cracks and the surface of remote cracks. The tips of primary cracks were arc-shaped, and the surfaces of the remote cracks were curved. Remote cracks were tangential to the orifice where type III spear-like characteristics appeared. (3) The stress birefringence technology can be combined with 3D internal laser-engraved crack technology for internal crack stress information monitoring, the moire around the orifice was "flamboyant", and the moire at the tip of the prefabricated crack was "petallike". (4) The existence of internal cracks reduced the cracking and breaking load of the specimen, and compared with the intact orifice specimen, the upper primary crack, the lower primary crack, the remote crack and the failure load were reduced by 41.2%, 31.7%, 15.9%, and 32.3%, respectively. (5) The results of qualitative stress analysis of the orifice specimen were consistent with the initiation law of primary cracks and remote cracks. The K distribution based on M integral and the numerical simulation of crack propagation process based on the maximum tensile stress criterion were consistent with the law of primary crack growth. Compared with the current mainstream method of transparent rock research, 3D internal laser-engraved crack technology has certain advantages in terms of brittleness, crack authenticity, stress field visualization, and fracture characteristics, and the result will provide experimental and theoretical references for research on three-dimensional problems and internal cracks in fracture mechanics.

摘要

圆孔的应力分析是力学中的经典问题之一。内部裂纹是材料的固有属性,其形态大多为三维的。然而,关于含三维内部裂纹的孔问题的研究仍然匮乏。本文基于三维内部激光刻蚀裂纹技术,在含圆孔的脆性材料中生成内部裂纹。然后进行单轴压缩试验。将实验结果与现有文献进行比较,并开展理论和数值模拟研究。结果表明:(1) 主要裂纹形态为初生裂纹和远场裂纹。(2) 初生裂纹形成过程及远场裂纹表面存在动态断裂特征。初生裂纹尖端呈圆弧形,远场裂纹表面呈弯曲状。远场裂纹与出现III型矛状特征的孔口相切。(3) 应力双折射技术可与三维内部激光刻蚀裂纹技术相结合用于内部裂纹应力信息监测,孔口周围的云纹“绚丽”,预制裂纹尖端的云纹呈“花瓣状”。(4) 内部裂纹的存在降低了试样的开裂和破坏载荷,与完整孔口试样相比,上部初生裂纹、下部初生裂纹、远场裂纹及破坏载荷分别降低了41.2%、31.7%、15.9%和32.3%。(5) 孔口试样的定性应力分析结果与初生裂纹和远场裂纹的起裂规律一致。基于M积分的K值分布及基于最大拉应力准则的裂纹扩展过程数值模拟与初生裂纹扩展规律一致。与当前主流的透明岩石研究方法相比,三维内部激光刻蚀裂纹技术在脆性、裂纹真实性、应力场可视化及断裂特征方面具有一定优势,研究结果将为断裂力学中三维问题及内部裂纹的研究提供实验和理论参考。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/816f/8875381/63c1431127c4/materials-15-01406-g001.jpg

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