A calibration framework for DEM models based on the stress‒strain curve of uniaxial compressive tests by using the AEO algorithm and several calibration suggestions

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-09-13 DOI:10.1007/s40571-024-00820-0
Min Wang, Zhenxing Lu, Yanlin Zhao, Wen Wan
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Abstract

Before the discrete element method (DEM) is implemented for numerical simulations, the microparameters of the DEM models should be calibrated. Microparameter calibration is a critically important procedure for numerical DEM simulations. The macroparameters obtained from physical tests (e.g. UCS, Young’s modulus, Poisson’s ratio) were used to calibrate the microparameters of DEM models. However, the mechanical characteristics of rock materials cannot be fully reflected by the macroparameters. Hence, in this paper, the stress‒strain relationships of uniaxial compressive tests were used for calibrating the microparameters of DEM (discrete element method) models by using the artificial ecosystem-based optimization (AEO) algorithm, combined with a Python script and a stress‒strain curve of uniaxial compressive tests from laboratory experiments. Additionally, a microparameter calibration framework was proposed. To verify the validity of the proposed method, two examples were evaluated, and the numerical simulation results indicated that the proposed method can be applied to calibrate the microparameters of DEM models. Moreover, to analyse the influence of each microparameter on the stress‒strain curve of uniaxial compressive tests, a large number of numerical simulations were conducted. Finally, based on the analysis, some microparameter calibration suggestions were provided. This study provides a new method for calibrating microparameters and provides calibration suggestions that are critically important for numerical DEM simulations.

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利用 AEO 算法和若干校准建议,建立基于单轴压缩试验应力-应变曲线的 DEM 模型校准框架
在离散元方法(DEM)用于数值模拟之前,应校准 DEM 模型的微参数。微参数校准是 DEM 数值模拟的一个极其重要的步骤。从物理测试中获得的宏观参数(如 UCS、杨氏模量、泊松比)被用来校准 DEM 模型的微观参数。然而,岩石材料的力学特性无法通过宏观参数完全反映出来。因此,本文采用基于人工生态系统的优化(AEO)算法,结合 Python 脚本和实验室实验中的单轴压缩试验应力应变曲线,利用单轴压缩试验的应力应变关系来校准 DEM(离散元素法)模型的微参数。此外,还提出了一个微参数校准框架。为了验证所提方法的有效性,对两个实例进行了评估,数值模拟结果表明所提方法可用于校准 DEM 模型的微参数。此外,为了分析各微观参数对单轴压缩试验应力-应变曲线的影响,还进行了大量的数值模拟。最后,根据分析结果提出了一些微参数校准建议。这项研究提供了校准微参数的新方法,并提出了对 DEM 数值模拟至关重要的校准建议。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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