Three-Dimensional Energy-Driven Cellular Automata Method for Simulation of Energy Evolution in Rock Materials Under Uniaxial Compression

IF 3.6 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2025-07-02 DOI:10.1002/nag.70013

Xiao Wang, Gaoshuo Zhang, Wenxin Li, Changdi He, Chenhao Zhang

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Abstract

Analyzing the energy evolution of rock under uniaxial compression is crucial for understanding the mechanics of rock failure. Previous studies have investigated the changes in different energy components during cyclic loading and unloading uniaxial compression strength (CLU-UCS) tests by applying multiple loading and unloading cycles at various stress levels. However, increasing the number of cycles in CLU-UCS tests for energy evolution analysis may cause cumulative damage to rock specimens. Although several numerical simulation methods have been applied in recent years to analyze energy evolution of rock, they typically require high computational costs. To accurately and efficiently capture the energy evolution under uniaxial compression, a three-dimensional energy-driven cellular automata (EDCA3D) method has been proposed in this study. This EDCA3D method can effectively track the evolution of elastic strain energy, plastic strain energy, dissipated energy, and released energy throughout the rock failure process under uniaxial compression based on a single loading stress–strain curve. To validate the effectiveness of the proposed method, an EDCA3D model is developed to simulate the energy evolution of granite specimens. The results show that the simulated energy evolution aligns well with observations from CLU-UCS tests.

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单轴压缩下岩石材料能量演化的三维能量驱动元胞自动机模拟方法

分析岩石在单轴压缩下的能量演化对于理解岩石的破坏机制至关重要。先前的研究通过在不同应力水平下进行多次加载和卸载循环，研究了循环加载和卸载单轴抗压强度（CLU - UCS）试验中不同能量分量的变化。然而，增加CLU - UCS能量演化试验的循环次数可能会对岩石试样造成累积损伤。虽然近年来已经应用了几种数值模拟方法来分析岩石的能量演化，但它们通常需要较高的计算成本。为了准确有效地捕捉单轴压缩下的能量演变，本研究提出了一种三维能量驱动元胞自动机（EDCA3D）方法。基于单一加载应力-应变曲线的EDCA3D方法可以有效跟踪单轴压缩下岩石破坏过程中弹性应变能、塑性应变能、耗散能和释放能的演化。为了验证该方法的有效性，建立了一个EDCA3D模型来模拟花岗岩试件的能量演化。结果表明，模拟的能量演化与CLU - UCS试验的观测结果吻合较好。

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.