laws:orthopla
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
laws:orthopla [2023/12/01 16:25] hangbiao [Cohesion anisotropy with major principal stress orientation relative to bedding (IANISO = 0)] |
laws:orthopla [2024/01/23 12:15] (current) hangbiao |
||
|---|---|---|---|
| Line 47: | Line 47: | ||
| Considering cross-anisotropy, i.e. transverse isotropy, and refering the problem to the principal material axes implies $A_{ij} = 0$ for $i \neq j$, $A_{ii} = A_{11}+A_{22}+A_{33} = 0$, $A_{11} = A_{33}$ if the bedding plane is in ($e_1, e_3$) anisotropic plane, $A_{22} = -2A_{11}$, implying : | Considering cross-anisotropy, i.e. transverse isotropy, and refering the problem to the principal material axes implies $A_{ij} = 0$ for $i \neq j$, $A_{ii} = A_{11}+A_{22}+A_{33} = 0$, $A_{11} = A_{33}$ if the bedding plane is in ($e_1, e_3$) anisotropic plane, $A_{22} = -2A_{11}$, implying : | ||
| \[A_{ij}l_il_j = A_{l1}(1-3l_2^2)\] | \[A_{ij}l_il_j = A_{l1}(1-3l_2^2)\] | ||
| - | where $A_{11}$ is the component of the microstructure operator $A_{ij}$ in the isotropic (bedding) plane. The late expression for cohesion becomes : | + | where $A_{11}$ is the component of the microstructure operator $A_{ij}$ in the isotropic (bedding) plane. The late expression for cohesion becomes (Pardoen, 2015)((Pardoen, B. (2015) Hydro-mechanical analysis of the fracturing induced by the excavation of nuclear waste repository galleries using shear banding. Thesis, Liège University.)): |
| \[c= c_0 \left( 1+A_{l1}(1-3l_2^2) + b_1A_{l1}^2(1-3l_2^2)^2 + b_2A_{l1}^3(1-3l_2^2)^3 + … \right)\] | \[c= c_0 \left( 1+A_{l1}(1-3l_2^2) + b_1A_{l1}^2(1-3l_2^2)^2 + b_2A_{l1}^3(1-3l_2^2)^3 + … \right)\] | ||
| Line 162: | Line 162: | ||
| |E3F|Final elastic Young modulus E($e_{3f}$)| | |E3F|Final elastic Young modulus E($e_{3f}$)| | ||
| |Gamma7|equivalent strain at which the Young's modulus has reduced to 0.7 times | | |Gamma7|equivalent strain at which the Young's modulus has reduced to 0.7 times | | ||
| + | |Aa|Fitting parameter | | ||
| ^ Line 8 (7G10.0) (Only if IECPS = 2 or 3) ^^ | ^ Line 8 (7G10.0) (Only if IECPS = 2 or 3) ^^ | ||
| |PSICPEAK| Peak of dilatancy angle for compressive paths (If IECPS=2 then PSICPEAK is the initial value of dilatancy angle| | |PSICPEAK| Peak of dilatancy angle for compressive paths (If IECPS=2 then PSICPEAK is the initial value of dilatancy angle| | ||
laws/orthopla.1701444328.txt.gz · Last modified: 2023/12/01 16:25 by hangbiao
Page Tools
