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- Title
A Three-Dimensional Failure Criterion for Hard Rocks Under True Triaxial Compression.
- Authors
Feng, Xia-Ting; Kong, Rui; Yang, Chengxiang; Zhang, Xiwei; Wang, Zhaofeng; Han, Qiang; Wang, Gang
- Abstract
5.2 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>a</mi><mo>=</mo><mo>-</mo><msup><mrow><mo stretchy="false">(</mo><mn>2</mn><msub><mi> </mi><mi>t</mi></msub><mo>+</mo><mn>2</mn><msub><mi>c</mi><mn>0</mn></msub><mo>cot</mo><msub><mi> </mi><mn>0</mn></msub><mo stretchy="false">)</mo></mrow><mn>2</mn></msup><mo>.</mo></mrow></math> ht 13 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi> </mi><mtext>oct</mtext></msub><mo>=</mo><mfrac><mrow><mn>2</mn><msqrt><mn>2</mn></msqrt><msub><mi> </mi><mrow><mtext>m</mtext><mo>,</mo><mn>2</mn></mrow></msub><mo>sin</mo><msub><mi> </mi><mn>0</mn></msub></mrow><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>2</mn><msqrt><mn>2</mn></msqrt><msub><mi>c</mi><mn>0</mn></msub><mo>cos</mo><msub><mi> </mi><mn>0</mn></msub></mrow><mn>3</mn></mfrac><mo>,</mo></mrow></math> ht Based on Eq. (1), the maximum sin I i SB I b i sb can be obtained when HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mfrac><mrow><mi> </mi><mo>sin</mo><msub><mi> </mi><mi>b</mi></msub></mrow><mrow><mi> </mi><mi>b</mi></mrow></mfrac><mo>=</mo><mn>0</mn></mrow></math> ht . 15 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mfrac><mrow><mn>2</mn><mi>b</mi><mi>s</mi><mo>-</mo><mn>1</mn></mrow><msqrt><mrow><mn>1</mn><mo>-</mo><mi>b</mi><mo>+</mo><mi>s</mi><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac><mo>=</mo><mfrac><mrow><mn>2</mn><mi>b</mi><mo>-</mo><mn>1</mn></mrow><msqrt><mrow><mn>1</mn><mo>-</mo><mi>b</mi><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac><mi>t</mi><mo>sin</mo><msub><mi> </mi><mn>0</mn></msub><mo>.</mo></mrow></math> ht.
- Subjects
ROCKS; SEDIMENTARY rocks; METAMORPHIC rocks; IGNEOUS rocks; ROCK bursts; ROCK deformation
- Publication
Rock Mechanics & Rock Engineering, 2020, Vol 53, Issue 1, p103
- ISSN
0723-2632
- Publication type
Article
- DOI
10.1007/s00603-019-01903-8