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Article

Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation

1
College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China
2
Institute of Manufacturing Engineering, Huaqiao University, Xiamen 361021, China
3
School of Mechanical Engineering, Hunan University of Science Technology, Xiangtan 411201, China
*
Author to whom correspondence should be addressed.
Materials 2025, 18(22), 5136; https://doi.org/10.3390/ma18225136
Submission received: 18 September 2025 / Revised: 25 October 2025 / Accepted: 5 November 2025 / Published: 12 November 2025
(This article belongs to the Section Materials Simulation and Design)

Abstract

As an irreplaceable optical ceramic material in energy, aviation, and commerce, sapphire is making a further expansion of its application boundaries. Owing to the anisotropy of sapphire, the material properties analysis in the fabrication process is hard but essential. Hence, aiming at investigating the damage behavior of sapphire with different crystal orientations during machining, the nucleation and propagation of cracks in the orthogonal a, c, and m orientations of sapphire under Vickers indentation were explored experimentally and numerically. Firstly, the indentation morphology and indentation cracks of sapphire with different crystal orientations under different loads were studied based on a Vickers indentation tester. In general, the relative errors of the three characteristic parameters, including the half-length of indentation diagonal, the length of crack, and the maximum depth of indentation, are all within 20% between the simulation model and the indentation test results. Then, the nucleation critical loads of different cracks in sapphire under Vickers indentation are determined on the basis of the ceramic materials’ fracture mechanics theory. The critical load value of the median crack of sapphire in both A- and M-planes is less than 0.1 kgf experimentally and simulatively, while C-plane sapphire is between 1 kgf and 2 kgf. Finally, the stress field, displacement–load curve, plastic piling-up height, and dynamic propagation process during Vickers indentation are analyzed, combining the experimental results with a numerical calculation approach.
Keywords: sapphire; anisotropy; Vickers indentation; crack nucleation and propagation; finite element simulation; stress field analysis sapphire; anisotropy; Vickers indentation; crack nucleation and propagation; finite element simulation; stress field analysis

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MDPI and ACS Style

Li, Z.; Deng, Z.; Yang, W.; Ge, J. Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation. Materials 2025, 18, 5136. https://doi.org/10.3390/ma18225136

AMA Style

Li Z, Deng Z, Yang W, Ge J. Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation. Materials. 2025; 18(22):5136. https://doi.org/10.3390/ma18225136

Chicago/Turabian Style

Li, Zhongyang, Zhaohui Deng, Weiye Yang, and Jimin Ge. 2025. "Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation" Materials 18, no. 22: 5136. https://doi.org/10.3390/ma18225136

APA Style

Li, Z., Deng, Z., Yang, W., & Ge, J. (2025). Monocrystalline Sapphire Stress Field Analysis with Orthorhombic Crystal Orientation Under Vickers Indentation. Materials, 18(22), 5136. https://doi.org/10.3390/ma18225136

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