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Determination of mechanical properties of ceramic microspheres using an improved flat-plate crushing test and global cohesive zone modeling
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  • Published: 24 January 2026

Determination of mechanical properties of ceramic microspheres using an improved flat-plate crushing test and global cohesive zone modeling

  • Ma Haojun1,
  • Lv Junnan3,
  • Zhou Yubo1,
  • Dong Yingxuan1,2,
  • Song Yingzheng1 &
  • …
  • Qun Li1 

Scientific Reports , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Materials science

Abstract

Ceramic microspheres are widely used in various applications, such as nuclear fuel particles in reactors, ZrO2 particles for bone fillers, and SiC particles for precision grinding media. To improve the mechanical performance and enhance the safety of these microspheres, the ability to rapidly and accurately determine their mechanical properties is of critical importance. However, due to the close relationship between the fabrication process, microstructure, and internal defect configuration of ceramic microspheres, their mechanical characterization cannot be effectively conducted using conventional methods that ignore the spherical geometry. At present, no standardized experimental technique or computational model exists for such evaluation. This study investigates the crushing mechanics of ceramic microspheres by combining an improved flat-plate crushing test with numerical simulations. Polycrystalline diamond (PCD) was adopted to enhance the conventional flat-plate crushing setup, which typically exhibits low sensitivity to specimen size but is not suitable for high-hardness materials. A dedicated high-precision experimental device was developed for testing sub-millimeter ceramic microspheres. Six groups of ZrO2 microspheres with varying diameters were tested, yielding precise force–displacement curves that captured the complete crushing process. In parallel, numerical simulations based on Voronoi tessellation and global cohesive elements were conducted to replicate the crushing process. By calibrating the model to match the experimental force–displacement curves, the mechanical parameters of the microspheres were determined in a scientifically reliable and precise manner. This integrated approach provides a new perspective for evaluating the mechanical properties of ceramic microspheres.

Data availability

All data generated or analysed during this study are included in this published article [and its supplementary information files].

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12202426, U21B2058). This work was supported by the Postdoctoral Fellowship Program of CPSF under Grant (GZC20241366), the funding from the Aeronautical Science Foundation of China (2024Z061070001), the Fundamental research funds for the central universities (xzy012025038), and the funding from Shaanxi Natural Science Foundation (2025JC-YBQN-071). This paper has received funding from the China Scholarship Council.

Funding

This work was supported by the National Natural Science Foundation of China (Nos. 12202426, U21B2058).

Author information

Authors and Affiliations

  1. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China

    Ma Haojun, Zhou Yubo, Dong Yingxuan, Song Yingzheng & Qun Li

  2. Department of Civil and Environmental Engineering, National University of Singapore, Singapore, 119260, Singapore

    Dong Yingxuan

  3. National Key Laboratory of Nuclear Reactor Technology, Nuclear Power Institute of China, Chengdu, 610213, China

    Lv Junnan

Authors
  1. Ma Haojun
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  2. Lv Junnan
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  3. Zhou Yubo
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  4. Dong Yingxuan
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Contributions

H.M.: Writing-original draft, visualization, validation, software, methodology, investigation, formal analysis. J.L.: Writing-review and editing, supervision, resources, project administration, methodology, investigation, funding acquisition, data curation, conceptualization. Y.Z.: Visualization, software, resources. Y.D.: Writing-review and editing, supervision. Y.S.: Investigation. Q.L.: Writing-review and editing, supervision, methodology, funding acquisition, conceptualization.

Corresponding authors

Correspondence to Lv Junnan or Qun Li.

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The authors declare no competing interests.

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Cite this article

Ma, H., Lv, J., Zhou, Y. et al. Determination of mechanical properties of ceramic microspheres using an improved flat-plate crushing test and global cohesive zone modeling. Sci Rep (2026). https://doi.org/10.1038/s41598-026-37357-6

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  • Received: 24 September 2025

  • Accepted: 21 January 2026

  • Published: 24 January 2026

  • DOI: https://doi.org/10.1038/s41598-026-37357-6

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Keywords

  • Ceramic microspheres
  • Flat-plate crushing test
  • Cohesive zone elements
  • Fracture simulation
  • Fracture toughness
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