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A damage constitutive model of rock-like materials containing a single crack under the action of chemical corrosion and uniaxial compression

化学腐蚀作用后含单裂隙类岩石材料单轴压缩损伤本构模型

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Abstract

To describe the deformation and strength characteristics of the corroded rock-like specimens containing a single crack under uniaxial compression, a damage constitutive model combining hydro-chemical damage with coupling damage of micro-flaws and macro-cracks is proposed. Firstly, based on phenomenological theory, the damage variable of the rock-like specimens subjected to water environment erosion and chemical corrosion is obtained. Secondly, a coupled damage variable for cracked rock-like specimens is derived based on the Lemaitre strain equivalence hypothesis, which combines the Weibull statistical damage model for micro-flaws and the fracture mechanics model for a macro single crack. Then, considering the residual strength characteristics of the rock-like materials, the damage variable is modified by introducing the correction coefficient, and the damage constitutive model of the corroded rock-like specimens with a single crack under uniaxial compression is established. The model is verified by comparing the experimental stress — strain curves, and the results are in good agreement with those provided in the literature. Finally, the correction coefficient of the damage variable proposed in this paper is discussed. The damage constitutive model developed in this paper provides an effective method to describe the stress — strain relationship and residual strength characteristics of the corroded rock-like specimens with a single crack under uniaxial compression.

摘要

为了描述腐蚀后含单裂隙类岩石材料在单轴压缩作用下的变形和强度特性, 提出了一种水化学 损伤与微裂纹和宏观单裂隙耦合损伤相结合的损伤本构模型。首先, 基于唯象理论, 得到了类岩石试 件在水环境侵蚀和化学腐蚀共同作用下的损伤变量。其次, 基于Lemaitre 应变等价性假设, 结合微裂 纹的Weibull 分布统计损伤模型和宏观单裂隙的断裂力学模型, 推导了含单裂隙类岩石试件的耦合损伤 变量。然后, 考虑类岩石材料的残余强度特性, 通过引入修正系数对损伤变量进行了修正, 建立了单 轴压缩作用下含单裂隙类岩石试件的损伤本构模型。通过由试验获得的应力-应变曲线对模型的有效性 进行了对比和验证, 结果表明, 理论模型计算得到的应力-应变曲线与文献中的试验结果吻合较好。最 后, 对本文所提出的损伤变量修正系数进行了讨论。本文建立的损伤本构模型为描述含单裂隙腐蚀类 岩石材料在单轴压缩作用下的应力-应变关系和残余强度特征提供了一种有效的理论计算方法。

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Funding

Project(FRF-IDRY-20-013) supported by the Fundamental Research Funds for the Central Universities, China; Projects (51974014, 52074020) supported by the National Natural Science Foundation of China

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Authors and Affiliations

  1. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Ji-liang Pan  (潘继良), Mei-feng Cai  (蔡美峰), Peng Li  (李鹏) & Qi-feng Guo  (郭奇峰)

  2. Beijing Key Laboratory of Urban Underground Space Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Ji-liang Pan  (潘继良), Mei-feng Cai  (蔡美峰), Peng Li  (李鹏) & Qi-feng Guo  (郭奇峰)

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  1. Ji-liang Pan  (潘继良)
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  2. Mei-feng Cai  (蔡美峰)
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Correspondence to Qi-feng Guo  (郭奇峰).

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Contributors

PAN Ji-liang provided the concept and edited the draft of manuscript. PAN Ji-liang and LI Peng conducted the literature review and wrote the first draft of the manuscript. CAI Mei-feng and GUO Qi-feng edited the draft of manuscript. All authors replied to reviewers’ comments and revised the final version.

Conflict of interest

PAN Ji-liang, CAI Mei-feng, LI Peng, and GUO Qi-feng declare that they have no conflict of interest.

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Pan, Jl., Cai, Mf., Li, P. et al. A damage constitutive model of rock-like materials containing a single crack under the action of chemical corrosion and uniaxial compression. J. Cent. South Univ. 29, 486–498 (2022). https://doi.org/10.1007/s11771-022-4949-1

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  • DOI: https://doi.org/10.1007/s11771-022-4949-1

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