华南理工大学学报(自然科学版)

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不同含水率炭质板岩损伤蠕变本构模型研究

胡涛涛1,2  赵玉龙1  刘可萌1  李浩1  高咸超1  王磊2,3   

  1. 1.长安大学公路学院,陕西 西安 710064;
    2.长安大学 陕西省公路桥梁与隧道重点实验室,陕西 西安 710064;
    3.西安科技大学建筑与土木工程学院,陕西 西安 710054
  • 发布日期:2025-07-18

Study on Damage Creep Constitutive Model of Carbonaceous Slate with Different Moisture Content

HU Taotao1,2   ZHAO Yulong1   LIU Kemeng1   LI Hao1  GAO Xianchao1  WANG Lei2,3   

  1. 1.Sclool of Highway, Chang’an University, Xi’an 710064, China;

    2.Key Laboratory for Bridge and Tunnel of Shaanxi Province, Chang’an University, Xi’an 710064, China;
    3.School of Architecture and Civil Engineering, Xi'an University of Science and Technology, Xi'an 710054, China

  • Published:2025-07-18

摘要:

为探究炭质板岩在不同含水率条件下的蠕变特性,基于室内分级加载蠕变试验数据,采用一种非线性黏性元件与表征屈服特性的塑性元件并联,构建了可描述蠕变全过程中非线性加速蠕变阶段的黏塑性体;将该非线性黏塑性体与经典西原模型串联,依据弹性模量和黏性系数的软化规律提出4个损伤因子,建立了不同含水率条件下可描述炭质板岩蠕变全过程的损伤蠕变本构模型;运用ABAQUS有限元软件完成了子程序(UMAT)二次开发,实现了不同含水率下的炭质板岩三轴蠕变试验数值模拟,通过对比岩样的蠕变试验与数值模拟结果来验证模型的适用性。研究表明:所构建的改进西原模型能较好的提升加速蠕变阶段的模拟精度,不同含水率工况下的分级加载蠕变试验曲线与数值模拟曲线吻合良好,相关系数均在0.9以上;数值模拟云图准确复现了不同含水率的岩样的蠕变变形增长,验证了所提出的考虑含水损伤的炭质板岩蠕变本构模型及UMAT子程序开发的正确性和有效性。研究成果可为富水深埋炭质板岩隧道工程的长期稳定性评估与灾害预警提供的理论基础。

关键词: 炭质板岩, 含水率, 损伤, 改进西原模型, UMAT子程序

Abstract:

To investigate the creep characteristics of carbonaceous slate under different moisture content conditions, based on the creep test data of indoor graded loading, a nonlinear viscous element was connected in parallel with a plastic element characterizing the yield characteristics to construct a viscoplastic body that can describe the nonlinear accelerated creep stage throughout the creep process. The nonlinear viscoplastic body was connected in series with the classical Nishihara model. Four damage factors were proposed based on the softening laws of elastic modulus and viscosity coefficient.  A damage creep constitutive model was established to describe the entire creep process of carbonaceous slate under different moisture content conditions. The subroutine (UMAT) was developed using ABAQUS finite element software, and numerical simulations of triaxial creep tests of carbonaceous shale under different moisture contents were achieved. The applicability of the model was verified by comparing the creep test and numerical simulation results of rock samples. Research has shown that the improved Nishihara model constructed can effectively improve the simulation accuracy of the accelerated creep stage. The graded loading creep test curves under different moisture content conditions are in good agreement with the numerical simulation curves, with correlation coefficients above 0.9. The numerical simulation cloud map accurately reproduced the creep deformation growth of rock samples with different moisture contents, verifying the correctness and effectiveness of the proposed creep constitutive model for carbonaceous shale considering moisture damage and the development of UMAT subroutine. The research results can provide a theoretical basis for the long-term stability assessment and disaster early warning of tunnels in deeply buried water-rich carbonaceous slate.

Key words: carbonaceous slate, moisture content, damage, improved Nishihara model, UMAT subroutine