岩土力学 ›› 2026, Vol. 47 ›› Issue (5): 1529-1540.doi: 10.16285/j.rsm.2025.0411CSTR: 32223.14.j.rsm.2025.0411

• 基础理论与实验研究 • 上一篇    下一篇

基于峰值应变滞后的冻融岩石峰后区应变软化模型研究

陈笑楠1,张慧梅2,叶万军1,成炜康1   

  1. 1. 西安科技大学 建筑与土木工程学院,陕西 西安 710054;2. 西安科技大学 理学院,陕西 西安 710054
  • 收稿日期:2025-04-18 接受日期:2025-08-08 出版日期:2026-05-11 发布日期:2026-05-08
  • 作者简介:陈笑楠,女,1993年生,博士研究生,主要从事岩土工程及结构稳定方面的研究。E-mail: chenxiaonan1004@163.com
  • 基金资助:
    国家自然科学基金项目(No. 12472406,No. 12172280);陕西省自然科学基金重点项(No. 2020JZ-53)

Post-peak strain softening model of freeze-thaw rock based on peak strain hysteresis

CHEN Xiao-nan1, ZHANG Hui-mei2, YE Wan-jun1, CHENG Wei-kang1   

  1. 1. College of Architectural and Civil Engineering, Xi’an University of Science & Technology, Xi’an, Shaanxi 710054, China; 2. College of Science, Xi’an University of Science & Technology, Xi’an, Shaanxi 710054, China
  • Received:2025-04-18 Accepted:2025-08-08 Online:2026-05-11 Published:2026-05-08
  • Supported by:
    This work was supported by the National Natural Science Foundation of China(12472406, 12172280) and the Key Project of Natural Science Foundation of Shaanxi Province (2020JZ-53).

摘要: 岩石材料强度由黏聚强度和摩擦强度组成,残余摩擦强度与岩石所处围压水平有关。根据岩石材料在不同围压和冻融循环下的试验数据,确定了与围压水平相关的统计损伤模型参数,实现了峰值后区应变软化阶段由轴向应变直接度量岩石的微元强度,表达了统计损伤变量在残余损伤阶段的演化终值小于1。基于Lemaitre应变等价性假设,提出了基于残余损伤变量转换岩石峰值强度为名义应力,建立了表征岩石材料应力降值的应变软化本构模型;通过与试验数据比较,验证了不同围压低冻融循环次数下所提本构模型的合理性。根据岩石材料在不同围压和冻融循环下的模型参数和峰值应变试验数据,得到了表征残余应变滞后于峰值应变的应变滞后因子,实现了应变滞后因子表达岩石材料在应变软化阶段应力降值的速率,确定了应变软化阶段岩石材料呈脆性和塑性增大的值域,验证了三轴应力状态下Weibull形状参数与分形维数关于岩石微元体破坏概率之间的关系。

关键词: 冻融岩石, 峰值应变, 应变软化, 应力降值, 应力降值速率, 残余损伤

Abstract: The strength of rock material is composed of cohesive strength and friction strength, with residual friction strength being dependent on the confining pressure level. Based on experimental data from rock materials subjected to varying confining pressures and freeze-thaw cycles, we determined the statistical damage model parameters associated with confining pressures. The microelement strength of rock, measured directly by axial strain during the post-peak strain softening stage was assessed, revealing that the final value of the evolution of statistical damage variables in the residual damage stage is less than 1. Utilizing the Lemaitre strain equivalence assumption, we proposed a strain softening constitutive model to characterize the stress drop in rock materials. This model converts the peak stress of rock into nominal stress using residual damage variables. By comparing the model with experimental data, we verified its validity under various confining pressures and low freeze-thaw cycles. Using the model parameters and peak strain test data from rock materials under varying confining pressures and freeze-thaw cycles, we obtained the strain lag factor that characterizes the residual strain lagging behind the peak strain. We also determined the stress drop rate of rock material, expressed by the strain lag factor during the strain softening stage. Additionally, we identified the range of increased brittleness and plasticity of rock materials during this stage and verified the relationship between Weibull shape parameters and fractal dimensions concerning the failure probability of rock microelements under triaxial stress states.

Key words: freeze-thaw rock, peak strain, strain softening, stress drop, stress drop rate, residual damage

中图分类号: TU 452
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