6 Test results
6.1 Basic equations
The shear modulus of the flexible dilatometer test, G_{FDT}, is
where
d_{s} is the nominal diameter of the pocket. All measurements of the borehole diameter are afterwards referred to d_{s}. It shall be determined as shown in Figures 4 and 5, that is by extrapolating the early linear portion of the expansion graph backwards to meet the horizontal line through the pressure axis at which the pocket expansion first begins (p_{s});
Δd is the additional diametral displacement of the borehole due to Δp;
Δp is the change of applied pressure above the contact pressure.
To calculate the flexible dilatometer modulus E_{FDT} from shear modulus G_{FDT}. the following equation shall be applied:
An assumption needs to be made for the Poisson's ratio v
Δd and Δp shall be corrected according to the calibration values obtained before testing (see 5.3.2).
NOTE 1 In many materials the moduli are strainand pathdependent. A series of secant moduli taken from the pressure versus displacement graph can be used to define this variation.
NOTE 2 Formula (2) yields the Young's modulus for linearly elastic and isotropic materials only.
6.2 Loading test
6.2.1 General
For procedures A to C, test data shall be plotted as shown in Figures 4 to 6, in Annex B and in Annex C where results of procedure A tests are shown. The corrected pocket diameter shall be plotted as a function of the corrected applied pressure p. The shear modulus of flexible dilatometer test G_{FDT} is to be determined from Δd and Δp according to Formula (1).
When evaluating flexible dilatometer tests, Δp shall only be selected within a range of any one loading or unloading phase. Whichever is selected determines whether the modulus measured is a loading or an unloading one. Distinction shall be made between the first loading modulus and various reloading moduli (see Figures 4 and 5 and Table C.2). All moduli shall be derived and quoted individually. Modulus values should be quoted to three significant digits.
Tests according to procedure D shall be designed for specific purposes. To be able to correctly evaluate the timedependent ground deformation at constant pressures on the borehole wall when the membrane deformation is large, action shall be taken to keep the corrected pressure constant between t_{1} and t_{2}.
6.2.2 Determination of moduli
G shall be determined using the average value of the pocket diametral displacement measured at least in three diametral directions for a given load cycle. However, if the values differ much from each other indicating anisotropy of the rock or soil mass, the G value shall be determined separately for each direction and reported accordingly.
NOTE This method of evaluation applies to each of the four procedures A to D.
6.2.3 Procedure A
The moduli G shall be calculated as follows:
— first loading modulus G_{L1} from the tangent to the first load loop through the intersection of p_{s} and d_{s} (see Figure 4);
— the next first loading modulus G_{Li} from the slope of the secant between the upper reversal pressure (e.g. p_{1} for G_{L2}) and the final pressure of the loading phase (e.g. p_{2}), see Figure 4;
— unloading moduli G_{Ui}, for every unload path between 30 % and 70 % of the pressure range between upper reversal pressure (p_{1} or p_{2} or p_{3}) and full relief pressure p_{1.1} (0 %), see Table 2 and Figure 4;
— reloading moduli G_{ri}, for every reload path shall be calculated for every unload path between 30 % and 70 % of the pressure range between upper reversal pressure (p_{1} or p_{2} or p_{3}) and full relief pressure P1.1 (0 %), see Table 2 and Figure 4.
First loading  Unloading (30 %—70 %)  Reloading 
G_{L1}  G_{U1}  G_{r1} 
G_{L2}  G_{U2}  G_{R2} 
G_{L3}  G_{U3}  G_{r3} 
Key for indices:

Key for examples:

6.2.4 Procedure B
The first loading modulus G_{L1} shall be calculated from the tangent to the first load loop through the intersection of p_{s} and d_{s} (see Figure 5); the next loading moduli G_{L} shall be determined from the tangent to the d versus p curve (see Figure 5).
Unloading/reloading moduli G_{U} shall be calculated for every unload/reload loop by taking the gradient of the line through each individual loop as indicated in Figure 5.
Key for Indices:

Key for examples:

6.2.5 Procedure C
The loading modulus G_{1} shall be calculated by taking the gradient between the points corresponding to, for example, p_{1} and p_{2} in Figure 6, i.e. at 30 % and 70 % of the pressure range of the linear part of the curve, up to the pressure p_{y}.
Key
p_{y} yield pressure of the ground
6.3 Constant pressure tests (procedure D)
After starting the test with a loading phase followed by a unload/reload cycle, p_{1} shall be held constant during a given period of time [see Figure 7 a)].
(a) Displacement versus pressure
(b) Displacement versus time
The corrected pocket diameter shall be plotted in semilog form as a function of elapsed time as indicated in Figure 7 b), the plot showing a nearly linear curve.
The creep parameter k_{f} corresponding to the slope between t_{1} and f_{2} characterizing the timedependent deformation characteristics of the material shall be determined for the given pressure level from Formula (3):
where
 d_{2} is the corrected pocket diameter at time t_{2};
 d_{1} is the corrected pocket diameter at time t_{1}.
6.4 Uncorrected and corrected graphs
d_{r} as a function of p_{r} shall be used to plot the uncorrected flexible dilatometer curve:
d as a function of p shall be used to plot the corrected flexible dilatometer curve:
where the applied pressure corrected for membrane pressure loss and stiffness (A.2) is given by
where the corrected pocket diameter d is given by
and a is determined by the method described in A.3.
For a variant A dilatometer probe, the membrane compression coefficient a is zero.