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<p>Granite, a commonly used construction material in engineering, is primarily composed of minerals like quartz, mica, and feldspar, characterized by its heterogeneity and brittleness. The mesostructure and mechanical properties of these mineral particles critically affect the macroscopic mechanical behavior of granite. Creating numerical models of rock materials’ mineral structures through computational reconstruction is an essential method for advancing rock mechanics studies. This paper introduces an anisotropic weighting function to the traditional equal-weight Voronoi method, presenting a novel algorithm for generating the mineral particle mesostructure in rock materials based on an elliptical control domain. The innovation of this algorithm lies in optimizing Voronoi diagram control by adjusting anisotropic weighting coefficients, which enables precise regulation of particle gradation and aspect ratio, accurately reconstructing high-volume fraction mineral particle mesostructures. This approach is particularly suited for describing the mesostructural characteristics of heterogeneous, multi-mineral rock materials, such as granite. In this study, the mineral composition and geometric parameters of specific granite particles serve as a model. Using statistical analysis results of these parameters, the algorithm reconstructs a mesostructural geometric model for granite. Additionally, a numerical analysis model for the Brazilian test of granite is developed for application with the finite discrete element method (FDEM). Through a series of continuous–discontinuous FDEM simulations, the mechanical response and crack propagation patterns in the samples are examined, and the influence of key interface mechanical parameters is comprehensively analyzed. This study demonstrates the practicality of the anisotropic weighted Voronoi-based high-volume fraction particle mesostructure generation method for simulating granite’s mechanical properties, offering vital technical support for accurately modeling and predicting the mechanical behavior of complex rock materials like granite.</p>

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An anisotropic weighted Voronoi method for mesostructure reconstruction in rock materials and its application to Brazilian test simulations

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Jiu-chang Zhang,
  • Jia-min Chen

摘要

Granite, a commonly used construction material in engineering, is primarily composed of minerals like quartz, mica, and feldspar, characterized by its heterogeneity and brittleness. The mesostructure and mechanical properties of these mineral particles critically affect the macroscopic mechanical behavior of granite. Creating numerical models of rock materials’ mineral structures through computational reconstruction is an essential method for advancing rock mechanics studies. This paper introduces an anisotropic weighting function to the traditional equal-weight Voronoi method, presenting a novel algorithm for generating the mineral particle mesostructure in rock materials based on an elliptical control domain. The innovation of this algorithm lies in optimizing Voronoi diagram control by adjusting anisotropic weighting coefficients, which enables precise regulation of particle gradation and aspect ratio, accurately reconstructing high-volume fraction mineral particle mesostructures. This approach is particularly suited for describing the mesostructural characteristics of heterogeneous, multi-mineral rock materials, such as granite. In this study, the mineral composition and geometric parameters of specific granite particles serve as a model. Using statistical analysis results of these parameters, the algorithm reconstructs a mesostructural geometric model for granite. Additionally, a numerical analysis model for the Brazilian test of granite is developed for application with the finite discrete element method (FDEM). Through a series of continuous–discontinuous FDEM simulations, the mechanical response and crack propagation patterns in the samples are examined, and the influence of key interface mechanical parameters is comprehensively analyzed. This study demonstrates the practicality of the anisotropic weighted Voronoi-based high-volume fraction particle mesostructure generation method for simulating granite’s mechanical properties, offering vital technical support for accurately modeling and predicting the mechanical behavior of complex rock materials like granite.