Stress-Strain Behavior of Jointed Rock - Rock Mechanics Based on an Anisotropic Jointed Rock Model - page 43

Figure 3.3 defi nes, in addition to E 1 , E 2 , G 2 , ν 1 and ν 2 the elastic constants G 1 and ν 3 ,

which are dependent on E 1 , E 2 , ν 2 .

In the coordinate system (x',y',z') the stress-strain relationship for transverse isotropy
can be expressed as:

ν 1 and

(3.4)

with

⋅ν 2 2 .
The inverse relation of Equation (3.4) is

where n = E 1 /E 2 and m = 1 - ν 1 - 2 ⋅ n

(3.5)

in which

is denoted as the “compliance matrix”.