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A Quantitative Study of Micro and Macro Mechanical Parameters Based on the PFC3D Flat-Joint Model
You-Liang Chen1, Yun-Gui Pan1, Xi Du1
1Department of Civil Engineering, School of Environment and Architecture, University of Shanghai for Science and Technology, No. 516, Jungong Road, Yangpu District, Shanghai 200093, China.
The flat-joint model enhances rock mechanics simulations by better predicting compression and tension. This study calibrates the model using 3D experiments and ANOVA to link microscopic parameters to macroscopic rock properties.
Area of Science:
- * Geotechnical Engineering
- * Computational Mechanics
- * Rock Mechanics
Background:
- * The flat-joint contact model offers advantages over the linear parallel-bond model for simulating particle breakage and larger deformation ratios.
- * Accurate calibration of numerical models is crucial for reliable rock mechanics simulations.
- * Understanding the relationship between microscopic and macroscopic rock properties is essential for predicting material behavior.
Purpose of the Study:
- * To calibrate the flat-joint model for 3D rock mechanics experiments.
- * To analyze the influence of microscopic parameters on macroscopic rock properties using ANOVA.
- * To establish regression equations for calculating macroscopic parameters from microscopic ones.
Main Methods:
- * Employed the flat-joint contact model for rock particle simulation.
- * Conducted triaxial compression tests with flexible boundaries.
- * Utilized Analysis of Variance (ANOVA) in an orthogonal experimental design to assess parameter significance.
- * Performed regression analysis to derive predictive equations.
Main Results:
- * Identified significant microscopic parameters influencing macroscopic properties: E_f, k_f for Elastic Modulus (E); C_f, k_f for Poisson's Ratio (ν); C_f, σ_f, k_f for Uniaxial Compressive Strength (UCS); C_f, σ_f, E_f for Tensile Strength (TS); R_sd for crack initiation strength (σ_ci); and φ_f, E_f, k_f, μ_f, σ_f for internal friction angle (φ).
- * Developed quantitative relationships between microscopic and macroscopic parameters.
- * Validated the macroscopic equations by comparing numerical and experimental results for various loading conditions.
Conclusions:
- * The flat-joint model is suitable for simulating rock behavior under various stress conditions.
- * ANOVA effectively determined the significance of microscopic parameters on macroscopic rock properties.
- * Established regression equations enable quantitative analysis and prediction of rock mechanical behavior using PFC simulations.
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