基于复变理论的不同断面巷道围岩塑性区演化特征及支护优化

doi:10.3724/1000-6915.jrme.2025.0965

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Abstract To investigate the effects of rotation of the principal stress direction on the morphology and size of the plastic zone in surrounding rock, a conformal mapping method based on complex variable theory was adopted. The principal stress rotation angle ? was introduced into the remote stress field, and analytical solutions for the circumferential stress at the boundaries of four roadway sections, namely circular, elliptical, rectangular, and straight wall semicircular arch sections, were derived under different lateral pressure coefficients ? and principal stress rotation angles ?. The circumferential stress distribution in the surrounding rock of different roadway sections was then investigated. Based on the Mohr-Coulomb strength criterion, an implicit equation for the boundary of the plastic zone in surrounding rock was established. The evolution of the morphology and size of the plastic zone for the four roadway sections under different combinations of ? and ? was analyzed, and the theoretical results were verified by numerical simulation. The results show that: (1) ? governs the distribution pattern of circumferential stress and the locations of stress concentration at the roadway boundary, whereas ? causes directional rotation of the stress field and breaks the symmetry of the stress distribution. Noncircular sections with geometric corners or abrupt changes in curvature are more sensitive to changes in the principal stress direction and are more prone to local stress concentration. (2) The evolution of the plastic zone in surrounding rock can be classified into six typical morphologies. ? controls the basic propagation pattern of the plastic zone, whereas ? determines its deflection direction. Their combined effects determine the final propagation morphology, extent, and orientation of the plastic zone. (3) The sensitivity of the maximum plastic zone radius Rpmax to changes in the principal stress direction is significantly affected by the roadway section shape. Circular and elliptical sections show relatively low sensitivity, whereas rectangular and straight wall semicircular arch sections exhibit a strong dependence on the principal stress rotation angle and are also strongly affected by ?. Based on these evolution characteristics of the plastic zone, a targeted advance support scheme integrating coordinated long and short bolts and cables, steel mesh and shotcrete, and shallow grouting reinforcement was proposed. The 11302 return airway of Hongqingliang Coal Mine was used as an engineering case to verify the reliability of the proposed support scheme.

Key words： mining engineering principal stress direction lateral pressure coefficient complex variable function roadway cross-section plastic zone in surrounding rock

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	Articles by authors
	LIU Jiashun1
	2*
	WANG Siyu1
	2
	ZUO Jianping2
	ZHENG Zhiyong1
	JIA Baoxin1

Cite this article:

LIU Jiashun1,2*,WANG Siyu1, et al. Evolution characteristics of the plastic zone in surrounding rock for different cross-sectional shapes via complex variable theory and support optimization[J]. , 2026, 45(11): 3386-3402.

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https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2025.0965 OR https://rockmech.whrsm.ac.cn/EN/Y2026/V45/I11/3386

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