On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength
Time dependence, probability distribution, and size effect have been investigated by many researchers and are still important issues in rock engineering. These seem to be different characteristics of rock but were found to be closely related to each other through laboratory tests with rock specimens...
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| Fformat: | Erthygl |
| Iaith: | English |
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The Mining and Materials Processing Institute of Japan
2020-01-01
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| Cyfres: | Journal of MMIJ |
| Pynciau: | |
| Mynediad Ar-lein: | https://www.jstage.jst.go.jp/article/journalofmmij/136/1/136_1/_pdf/-char/en |
| _version_ | 1827868310306291712 |
|---|---|
| author | Kimihiro HASHIBA Katsunori FUKUI |
| author_facet | Kimihiro HASHIBA Katsunori FUKUI |
| author_sort | Kimihiro HASHIBA |
| collection | DOAJ |
| description | Time dependence, probability distribution, and size effect have been investigated by many researchers and are still important issues in rock engineering. These seem to be different characteristics of rock but were found to be closely related to each other through laboratory tests with rock specimens in recent studies. In this paper, the theoretical aspects on the time dependence, probability distribution, and size effect of rock strength were explained, and some of the theoretical results were compared with the previous experimental results. The theoretical formulae based on the rate process theory that represent the failure progression of rock were introduced, and their relation to the theories of visco-elasticity and visco-plasticity was described. The exact solutions of the loading-rate dependence of strength and the creep lifetime were derived from the formulae and were compared with the experimental results of andesite. In addition, the exact solutions of the probability distribution of strength and creep lifetime and their relation to the statistics of extremes were described; the exact solutions of the size effect of strength and creep lifetime and their relation to the comminution theory were also described. The authors clarified what issues have been or have not been verified in previous studies and presented the subjects of future investigation. |
| first_indexed | 2024-03-12T15:29:51Z |
| format | Article |
| id | doaj.art-b9f24ab639bd44d58b901b6cd115fce1 |
| institution | Directory Open Access Journal |
| issn | 1881-6118 1884-0450 |
| language | English |
| last_indexed | 2024-03-12T15:29:51Z |
| publishDate | 2020-01-01 |
| publisher | The Mining and Materials Processing Institute of Japan |
| record_format | Article |
| series | Journal of MMIJ |
| spelling | doaj.art-b9f24ab639bd44d58b901b6cd115fce12023-08-10T09:27:12ZengThe Mining and Materials Processing Institute of JapanJournal of MMIJ1881-61181884-04502020-01-0113611710.2473/journalofmmij.136.1journalofmmijOn The Time Dependence, Probability Distribution, and Size Effect of Rock StrengthKimihiro HASHIBA0Katsunori FUKUI1Department of Systems Innovation, the University of TokyoDepartment of Systems Innovation, the University of TokyoTime dependence, probability distribution, and size effect have been investigated by many researchers and are still important issues in rock engineering. These seem to be different characteristics of rock but were found to be closely related to each other through laboratory tests with rock specimens in recent studies. In this paper, the theoretical aspects on the time dependence, probability distribution, and size effect of rock strength were explained, and some of the theoretical results were compared with the previous experimental results. The theoretical formulae based on the rate process theory that represent the failure progression of rock were introduced, and their relation to the theories of visco-elasticity and visco-plasticity was described. The exact solutions of the loading-rate dependence of strength and the creep lifetime were derived from the formulae and were compared with the experimental results of andesite. In addition, the exact solutions of the probability distribution of strength and creep lifetime and their relation to the statistics of extremes were described; the exact solutions of the size effect of strength and creep lifetime and their relation to the comminution theory were also described. The authors clarified what issues have been or have not been verified in previous studies and presented the subjects of future investigation.https://www.jstage.jst.go.jp/article/journalofmmij/136/1/136_1/_pdf/-char/enrockstrengthloading-rate dependenceextreme value distributionsize effect |
| spellingShingle | Kimihiro HASHIBA Katsunori FUKUI On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength Journal of MMIJ rock strength loading-rate dependence extreme value distribution size effect |
| title | On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength |
| title_full | On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength |
| title_fullStr | On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength |
| title_full_unstemmed | On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength |
| title_short | On The Time Dependence, Probability Distribution, and Size Effect of Rock Strength |
| title_sort | on the time dependence probability distribution and size effect of rock strength |
| topic | rock strength loading-rate dependence extreme value distribution size effect |
| url | https://www.jstage.jst.go.jp/article/journalofmmij/136/1/136_1/_pdf/-char/en |
| work_keys_str_mv | AT kimihirohashiba onthetimedependenceprobabilitydistributionandsizeeffectofrockstrength AT katsunorifukui onthetimedependenceprobabilitydistributionandsizeeffectofrockstrength |