4.6 Article

Time dependency for generalized relaxation compliance of rock

Journal

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10064-022-02678-z

Keywords

Time dependency; Generalized relaxation; GRC; Creep; Inelastic strain

Funding

  1. Natural Science Foundation of Chongqing [cstc2019jcyj-msxmX0488, cstc2021jcyj-msxmX0354]
  2. China Postdoctoral Science Foundation [2021M693751]
  3. Project of Science and Technology of Chongqing Education Commission [KJQN201901338]
  4. Project of Chongqing University of Arts and Sciences [P2021TM09]

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The behaviors of four types of rocks in generalized stress relaxation tests were analyzed, and a method for calculating the generalized relaxation compliance (GRC) was proposed. The results showed that GRC is time-dependent and related to the type of rock and stress level.
The time-dependent behavior of rock is frequently studied in creep tests. However, in rocks with various supports and homogeneity, creep is occasionally accompanied by relaxation in situ. In this study, the behaviors of four types of rocks are analyzed in generalized stress relaxation tests, in which stress and strain are changed simultaneously. To analyze the generalized relaxation behavior, a method for calculating the generalized relaxation compliance (GRC) was proposed. The results showed that GRC is independent of alpha and stress level, indicating that it can be obtained in a creep test. Furthermore, the GRC was obviously time-dependent and was higher in the Class I rocks than in the Class II rocks investigated in this study. The GRC was related to the logarithm of the time. Finally, an index of the GRC time dependency was proposed, which roughly increases with stress level. The results may quantitative time dependency for many rocks, to predict the failure life in underground engineering.

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