Chen Zeng, Yang Xiaocong, Wang Ping, Yu Shibo, Chen Lu
Beijing General Research Institute of Mining & Metallurgy, Beijing, 100160, China.
China-South Africa Joint Research Center for Development and Utilization on Mineral Resources, Beijing, 102628, China.
Sci Rep. 2024 Nov 6;14(1):26955. doi: 10.1038/s41598-024-77944-z.
The dynamic crack propagation trajectories play a crucial role in enhancing our understanding of spatial mechanisms involved in crack expansion. However, visualization of internal cracks under complex crack conditions has always been a challenge. Biological networks have been honed by many cycles of evolutionary selection pressure and are likely to yield reasonable solutions to such combinatorial optimization problems. This study applied the slime mould algorithm to improve the accuracy of internal crack localization in rocks and employed Minimum spanning tree and Gaussian mixture model to construct the crack propagation trajectories. By introducing the concept of bond length, the evolution characteristics of crack levels were effectively characterized. Research results showed that this approach effectively preserves essential crack localization information while mitigating the influence of interfering parameters, providing crack characterization results that exhibit high consistency with actual fracture patterns. The curves of cumulative bond length and relative bond length over time conform to the trend of a Growth/Sigmoidal curve. The strength of the bond was correlated with the temporal process of crack propagation. This result could be helpful for analyzing crack trajectories and predicting rock stability.
动态裂纹扩展轨迹在增强我们对裂纹扩展所涉及的空间机制的理解方面起着至关重要的作用。然而，在复杂裂纹条件下对内部裂纹进行可视化一直是一项挑战。生物网络经过了许多轮进化选择压力的锤炼，很可能会为这类组合优化问题提供合理的解决方案。本研究应用黏菌算法提高岩石内部裂纹定位的准确性，并采用最小生成树和高斯混合模型来构建裂纹扩展轨迹。通过引入键长的概念，有效地表征了裂纹水平的演化特征。研究结果表明，该方法在减轻干扰参数影响的同时有效地保留了基本的裂纹定位信息，提供了与实际断裂模式高度一致的裂纹表征结果。累积键长和相对键长随时间的曲线符合生长/ S形曲线的趋势。键的强度与裂纹扩展的时间过程相关。这一结果有助于分析裂纹轨迹和预测岩石稳定性。
