Statistical damage constitutive model based on the Hoek-Brown criterion

• Autorzy: Chen Yifan , Lin Hang , Wang Yixian , Xie Shijie , Zhao Yanlin , Yong Weixun

Identyfikatory

DOI

10.1007/s43452-021-00270-y

• Języki publikacji: EN

Abstrakty

EN

The constitutive models of rock are essentially the general depictions of the mechanical responses of rock mass under complex geological environments. Statistical distribution-based constitutive models are of great efficacy in reflecting the rock failure process and the stress–strain relation from the perspective of damage, while most of which were achieved by adopting Drucker–Prager criterion or Mohr–Coulomb criterion to characterize microelement failure. In this study, underpinned by Hoek–Brown strength criterion and damage theory, a new statistical damage constitutive model, which is simple in terms of model expression and capable of reflecting the strain softening characteristics of rock in post-peak stage, was established. First, the rock in the failure process was divided into infinite microelements including elastic part satisfying Hooke’s law and damaged part retaining residual strength. Based on strain equivalence hypothesis, the relation between rock microelement strength and damage variable was derived. By assuming the statistical law of microelement strength obeying Weibull distribution and the microelement failure conforming to Hoek–Brown criterion, the new statistical damage constitutive model based on Hoek–Brown criterion was, therefore, gained. The mathematical expressions of the corresponding model parameters were subsequently deduced in accordance with the geometric characteristics of the deviatoric stress–strain curve. Last, the existing conventional triaxial compression test data of representative rock samples under different confining stresses were employed to compare with the theoretical curves by proposed model, the consistency between which was quantified by utilizing the correlation factor evaluation method. The result indicated that the proposed model could well describe the entire stress–strain relationship of rock failure process and manifest the characteristics of rock residual strength. It is of great significance to the researches on rock damage and softening issues and rock reinforcement treatments.

Słowa kluczowe

EN

Hoek-Brown criterion; statistical damage constitutive model; conventional triaxial tests; Weibull distribution

PL

skała; naprężenie; uszkodzenie

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2021
• Tom: Vol. 21, no. 3
• Strony: 556--564
• Opis fizyczny: Bibliogr. 49 poz., rys., wykr.

Twórcy

autor

Chen Yifan

• School of Resource and Safety Engineering, Central South University, Changsha 410083, Hunan, China

autor

Lin Hang

• School of Resource and Safety Engineering, Central South University, Changsha 410083, Hunan, China

• https://orcid.org/0000-0002-5924-5163

autor

Wang Yixian

• School of Civil Engineering, Hefei University of Technology, Hefei 230009, China

autor

Xie Shijie

• School of Resource and Safety Engineering, Central South University, Changsha 410083, Hunan, China

autor

Zhao Yanlin

• School of Energy and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China

autor

Yong Weixun

• Kunming Prospecting Design Institute of China Nonferrous Metals Industry Co., Ltd, Kunming 650051, Yunan, China

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)