Rock and Soil Mechanics ›› 2020, Vol. 41 ›› Issue (5): 1573-1582.doi: 10.16285/j.rsm.2019.6071

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Investigation of mode I-II-III fracture of brittle spheres with a 60° internal crack using 3D-ILC

WANG Hai-jun1, YU Shu-yang2, TANG Zi-xuan1, TANG Lei1, REN Ran3, XU Jin4   

  1. 1. State Key Laboratory of Hydrology-Water Resource and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing, Jiangsu 210029, China 2. Collaborative Innovation Center on Water Safety and Water Science, Hohai University, Nanjing, Jiangsu, 210098, China 3. Huatian Corporation, China Metallurgical Group Corporation, Nanjing, Jiangsu 210019, China 4. Ecole Nationale Supérieure de Techniques Industrielles et des Mines de Douai, Douai, France, 59500
  • Online:2020-05-27 Published:2020-10-13
  • Contact: TANG Lei, male, born in 1971, PhD, Professor-level senior engineer, focusing on structural engineering. E-mail:
  • About author:WANG Hai-jun, male, born in 1985, PhD, Supervisor for master students, Senior engineer, focusing on fracture mechanics of rocks.
  • Supported by:
    the National Key Research and Development Plan(2016YFC0401801), the National Natural Science Foundation of China (51409170,51739008,U1765204) and the Natural Scinece Foundation of Jiangsu Province(BK20171130).

Abstract: As one of the perfect geometries in nature, sphere is common in daily and industrial life. The mechanical properties of sphere are of great significance to engineering safety and numerical simulation. Internal cracks or defects are inherent properties of materials and have an important influence on the mechanical properties of materials. However, the internal crack of the sphere is not considered in the current research due to the limit of technology. Thus, understanding of the propagation of internal cracks of brittle spheres is limited. In our study, internal cracks were created in glass sphere samples by 3D-ILC (3D-internal laser-engraved crack). Uniaxial compression tests were performed on samples with an internal crack at 60°. By comparing with results of intact sphere samples, the propagation of the internal crack, the load and the fractography were investigated. The distributions of KI, KII, KIII were calculated using M-integral. Results shows that: 1) the fracture patterns include wing cracks and primary crack; 2) the wing crack is composed of the smooth zone (mode I-II fracture) and the tear zone (mode I-II-III fracture); 3) the distributions of KI, KII, KIII around crack tips obtained by M-integral are consistent with the test results; 4) 3D-ILC can be successfully applied into the investigation of internal cracks of spheres and it provides experimental and theoretical basis for the study of 3D problem, internal cracks, and mode I-II-III fracture in fracture mechanics of brittle materials.

Key words: transparent rock-like materials, 3D internal crack, 3D-ILC, fracture mechanics, sphere