Elastoplastic damage model with hardening-softening deformation behavior and seepage for surrounding rock

CHENG Xuechang; LIU Xiaobin; KANG Penghui; WEI Tao; WU Wenjun; LU Ziheng

doi:10.11835/j.issn.2096-6717.2026.012

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Elastoplastic damage model with hardening-softening deformation behavior and seepage for surrounding rock

更新时间：2026-02-25

- Elastoplastic damage model with hardening-softening deformation behavior and seepage for surrounding rock
- Journal of Civil and Environmental Engineering Pages: 1-11(2026)
- 作者机构：
  
  1.广州地铁集团有限公司，广州 510335
  2.广州市盛通建设工程质量检测有限公司，广州 510075
  3.贵州大学土木工程学院，贵阳 550025
- 作者简介：
  
  CHENG Xuechang (1985- ), senior engineer, main research interests: geotechnical engineering and tunnel engineering, E-mail: clwang3@gzu.edu.cn.
- 基金信息：
  
  National Natural Science Foundation of China(52004072)
- DOI：10.11835/j.issn.2096-6717.2026.012
  CLC： TU452
- Received：12 October 2025，
  
  Online First：11 February 2026，
- 稿件说明：
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程学昌,刘晓斌,康彭辉等.围岩硬化-软化变形特征的弹塑性损伤-渗流模型[J].土木与环境工程学报,

CHENG Xuechang,LIU Xiaobin,KANG Penghui,et al.Elastoplastic damage model with hardening-softening deformation behavior and seepage for surrounding rock[J].Journal of Civil and Environmental Engineering,
程学昌,刘晓斌,康彭辉等.围岩硬化-软化变形特征的弹塑性损伤-渗流模型[J].土木与环境工程学报, DOI：10.11835/j.issn.2096-6717.2026.012.

CHENG Xuechang,LIU Xiaobin,KANG Penghui,et al.Elastoplastic damage model with hardening-softening deformation behavior and seepage for surrounding rock[J].Journal of Civil and Environmental Engineering, DOI：10.11835/j.issn.2096-6717.2026.012.

摘要

为阐明地下工程开挖过程中围岩的非线性力学响应与渗流演化机制，基于热力学内变量理论建立一个统一的硬化-软化弹塑性损伤-渗流耦合数值模型。模型采用Logistics函数重构损伤演化方程，以更准确地描述损伤的萌生、加速扩展与饱和过程；引入双曲函数硬化律来刻画屈服面在峰前阶段的扩展与峰后阶段的收缩行为；并结合能同时反映孔隙压密效应与裂隙扩展诱导渗透性增强的各向异性渗透率模型。基于该模型对FLAC3D平台进行二次开发，利用室内应力-应变及渗透率实验数据验证了其可靠性。在此基础上，结合某地下工程掘进算例，系统分析开挖卸荷引发的围岩响应；揭示围岩拱形沉降与水平位移汇聚的变形模式；阐明渗透率在空间上的三维重构特征，即在采空区邻近区域呈现各向异性显著增强，而在其他区域则受压缩主导。结果表明，模型能较为精确地模拟岩体从弹性变形、硬化强化到软化破坏全过程的力学行为及其与渗流的耦合效应。

Abstract

To elucidate the nonlinear mechanical response and seepage evolution mechanism of surrounding rock during underground excavation

a unified hardening-softening elastoplastic damage-seepage coupled numerical model was established based on the thermodynamic internal variable theory. This model employs a Logistics function to reconstruct the damage evolution equation

enabling a more accurate description of the initiation

accelerated propagation

and saturation stages of damage. A hyperbolic hardening law is introduced to characterize the expansion of the yield surface in the pre-peak hardening stage and its contraction in the post-peak softening stage. Furthermore

an anisotropic permeability model is integrated to simultaneously capture the dual effects of pore compaction and fracture-induced permeability enhancement. The model was implemented via secondary development within the FLAC3D platform

and its reliability was validated against experimental data for stress-strain behavior and permeability. Subsequently

by applying the model to a case study of underground tunnel driving

the excavation-induced responses of the surrounding rock were systematically analyzed: the deformation patterns of arch-shaped subsidence and horizontal convergence were revealed

and the three-dimensional reconstruction characteristics of permeability in space were elucidated

showing significant anisotropic enhancement near the excavation zone while being dominated by compression in other areas. The results demonstrate that the proposed model can accurately simulate the complete process of rock behavior

from elastic deformation and hardening to softening failure

along with its coupled effects with seepage.

关键词

Keywords

references

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