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

WANG Hai-jun; YU Shu-yang; TANG Zi-xuan; TANG Lei; REN Ran; XU Jin

doi:10.16285/j.rsm.2019.1071

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

更新时间：2026-06-25

- Investigation of mode I-II-III fracture of brittle spheres with a 60° internal crack using 3D-ILC
- Vol. 41, Issue 5, Pages: 1573-1582(2020)
- 作者机构：
  
  1. 南京水利科学研究院水文水资源与水利工程国家重点试验室,江苏,南京,210029
  2. 河海大学水安全与水科学协同创新中心,江苏,南京,210098
  3. 中冶华天工程技术有限公司,江苏,南京,210019
  4. 法国国立杜埃高等矿业学院，法国杜埃,59500
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2019.1071
  CLC： TU45
- Online First：07 July 2020，
  
  Published：2020
- 稿件说明：
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WANG Hai-jun, YU Shu-yang, TANG Zi-xuan, et al. Investigation of mode I-II-III fracture of brittle spheres with a 60° internal crack using 3D-ILC[J]. 2020, 41(5): 1573-1582.
DOI：

WANG Hai-jun, YU Shu-yang, TANG Zi-xuan, et al. Investigation of mode I-II-III fracture of brittle spheres with a 60° internal crack using 3D-ILC[J]. 2020, 41(5): 1573-1582. DOI： 10.16285/j.rsm.2019.1071.

摘要

球体作为自然界最完美的几何形态、也是生活工业中常见的几何形态，球体的力学特性对工程安全及数值仿真具有重要意义。内裂纹和内部类裂纹缺陷是材料的固有属性，对材料力学特性影响巨大。由于各类瓶颈问题，而当前研究都未能考虑球体的内裂纹问题。对于真实世界里，脆性球体的内裂纹如何扩展都尚未有认知。基于3D-ILC（三维激光疲劳内裂纹）技术，在对球体试样表面无任何影响的情况下生成纯封闭内裂纹，开展单轴压缩下脆性球体60°内裂纹扩展断裂试验，与完整圆球试样对比，得到裂纹扩展及试样破坏过程、起裂与破坏荷载、翼裂纹面形态特征及撕裂区特征、破坏形态规律，并基于M积分得到内裂纹尖端I、II、III型强度因子KI、KII、KIII分布规律，与试验结果对比以得到验证。结果表明：（1）试样裂纹形态主要有：上翼裂纹、下翼裂纹、主裂纹；（2）单轴压下球体内裂纹出现翼型扩展并呈现复杂的I-II-III型裂纹特征，翼裂纹扩展由光滑区与撕裂区组成，光滑区裂纹面基本光滑且尖端圆滑为I-II型裂纹，撕裂区具备“二叉树”形态特征为I-II-III型裂纹，存在非连续现象；（3）基于M积分的裂纹尖端KI、KII、KIII分布规律，裂纹光滑区、撕裂区的力学机制分析与试验一致；（4）3D-ILC在球体内裂纹研究中的适用性得到证明，为解决球体及断裂力学中的内裂纹及I-II-III型断裂问题提供了有力工具。成果是对当前无法考虑内缺陷的球体颗粒力学研究的很好的补充，同时，为断裂力学中三维问题、内裂纹问题、I-II-III型裂纹问题等研究，提供试验和理论参考。

Abstract

As one of the perfect geometries in nature

sphere is common in the 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 sphere is not considered in the current research due to the limit of technology. Thus

understanding of the propagation of internal cracks of brittle sphere 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 samples without a 60° internal crack

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 showed that: 1) the fracture patterns include wing cracks and primary crack. 2) Wing crack is composed of smooth zone (mode I-II fracture) and 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 sphere 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.

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