Tomić Zoran, Jukić Krešimir, Jarak Tomislav, Fabijanić Tamara Aleksandrov, Tonković Zdenko
Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia.
ITAP, School of Industrial Engineering, University of Valladolid, Paseo de Cauce 59, 47011 Valladolid, Spain.
Nanomaterials (Basel). 2022 Jul 9;12(14):2356. doi: 10.3390/nano12142356.
In this paper, a 3D phase-field model for brittle fracture is applied for analyzing the complex fracture patterns appearing during the Vickers indentation of fused silica. Although recent phase-field models for the fracture caused by the indentation loading have been verified by some simpler academic axis-symmetric examples, a proper validation of such models is still missing. In addition, heavy computational costs, and a complicated compression stress field under the indenter, which demands different energy decompositions, have been identified as the most important impediments for the successful application of the phase-field method for such problems. An adaptive strategy is utilized for reducing the computational costs, and some modifications are introduced, which enable an accurate simulation of the Vickers indentation fracture. Here, the fracture initiation ring outside the contact zone is detected by using different energy decompositions, and the dominant cone-crack formation under the Vickers indenter is observed. Different contact conditions are investigated. The proposed model is validated by experimental measurements, and a quantitative and qualitative comparison between experimental and numerical results is conducted.
在本文中，一种用于脆性断裂的三维相场模型被应用于分析熔融石英维氏压痕过程中出现的复杂断裂模式。尽管最近关于压痕载荷引起的断裂的相场模型已通过一些更简单的学术轴对称示例得到验证，但此类模型仍缺乏适当的验证。此外，计算成本高昂以及压头下方复杂的压缩应力场（这需要不同的能量分解）已被确定为相场方法成功应用于此类问题的最重要障碍。采用了一种自适应策略来降低计算成本，并引入了一些修改，从而能够精确模拟维氏压痕断裂。在此，通过使用不同的能量分解来检测接触区外的断裂起始环，并观察到维氏压头下方主导的锥形裂纹形成。研究了不同的接触条件。所提出的模型通过实验测量进行了验证，并对实验结果和数值结果进行了定量和定性比较。
