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- Title
Analytical Model of Layered Rock Considering Its Time-Dependent Behaviour.
- Authors
Tian, Y.; Chen, W. Z.; Tian, H. M.; Yang, J. P.; Zhang, Z. Y.; Shu, X. Y.
- Abstract
(10) and (12) into Eq. (4), the non-dimensional parameters of the bedding planes are equal to: 13 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mtable><mtr><mtd><mrow><mfrac><mn>1</mn><mrow><msub><mtext>k</mtext><mi>s</mi></msub><mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac><mspace width="0.277778em" /><mo>=</mo><mspace width="0.277778em" /><mfrac><msup><mi>s</mi><mi>c</mi></msup><msup><mi>r</mi><mi>c</mi></msup></mfrac><mspace width="0.277778em" /><mi>J</mi><mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow><mspace width="0.277778em" /><msub><mi>E</mi><mi>m</mi></msub></mrow></mtd></mtr><mtr><mtd><mrow><mrow /><mfrac><mn>1</mn><mrow><msub><mtext>k</mtext><mi>n</mi></msub><mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></mfrac><mspace width="0.277778em" /><mo>=</mo><mspace width="0.277778em" /><mfrac><msup><mi>s</mi><mi>c</mi></msup><msup><mi>r</mi><mi>c</mi></msup></mfrac><mspace width="0.277778em" /><mfrac><mrow><mi>J</mi><mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow><mspace width="0.277778em" /><msub><mi>E</mi><mi>m</mi></msub></mrow><msub><mi>R</mi><mn>0</mn></msub></mfrac><mo>.</mo></mrow></mtd></mtr><mtr><mtd><mrow /></mtd></mtr></mtable></mrow></math> ht Graph Substituting Eq. (13) into Eqs. The deformation of the elastic springs is assumed to be independent of time, and, therefore, ignores the creep strain HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mi> </mi><mrow><mi mathvariant="italic">ij</mi></mrow><mi>c</mi></msubsup></math> ht of the bedding planes.
- Subjects
STRAINS &; stresses (Mechanics); POISSON'S ratio; ELASTICITY; SHEAR (Mechanics); AXIAL stresses; CREEP (Materials); ROCK deformation
- Publication
Rock Mechanics & Rock Engineering, 2021, Vol 54, Issue 11, p5937
- ISSN
0723-2632
- Publication type
Article
- DOI
10.1007/s00603-021-02421-2