Expected Results for Discussion
[ Due, Delivered to Sandia National Labs (Dr. Lili Akin) by March 31, 2011 ]
Required Output/Results for Model 1:
1.1 Description of Modeling Assumptions and Phenomenological Models
1.2 Description of Tendon Failure Criteria Used
1.3 Pressure Milestones. Applied Pressure When:
1.3.1 Concrete Hoop Stress (at 135° azimuth) Equals Zero
1.3.2 Concrete Hoop Cracking Occurs (at 135° azimuth)
1.3.3 Tendon A Reaches 1% Strain (at 135° azimuth)
1.3.4 Tendon B Reaches 1% Strain (at 135° azimuth)
1.3.5 Tendon A Reaches 2% Strain (at 135° azimuth)
1.3.6 Tendon B Reaches 2% Strain (at 135° azimuth)
1.4 Deformed Shape and Tendon Stress Distribution at P = 0 (prestress applied); 1 x Pd;
1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure
1.5 Description of Observations About Tendon Force as a Function of Containment Dilation
and Tendon Slippage
For direct comparison amongst participants, please plot (Using Excel)
- Tendon A Strain at 135° azimuth versus pressure
- Tendon B Strain at 135° azimuth versus pressure
- Tendon stress distribution at P = 0 (prestress applied); 1 x Pd; 1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure
- Radial displacements versus pressure at Azimuth: 135°, 0°, 270°
Required Outputs/Results for Model 2:
2.1 Description of Modeling Assumptions and Phenomenological Models
2.2 Description of Liner Failure Criteria Used
2.3 Pressure Milestones. Applied Pressure When:
2.3.1 Concrete Hoop Cracking Occurs, and Report Where
2.3.2 First Tendon Reaches 1% Strain, and Report Where
2.4 Deformed Shape and Liner Strain Distribution at P = 0 (prestress applied); 1 x Pd;
1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure
2.5 Liner Strain Magnitudes (Hoop Direction) at Locations Indicated in Figure 11
2.6 Commentary about observed differences between Models 2a, 2b, 2c
(i.e., different representations of liner-concrete interaction)
For direct comparison amongst participants, please plot (Using Excel)
- Liner Strain Magnitudes (Hoop Direction) at Locations Indicated in Figure 11 (of SPE problem statement), versus pressure
- Tendon stress distribution at P = 0 (prestress applied); 1 x Pd; 1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure for
A. hoop tendon nearest the penetration hatch;
B. hoop tendon at top of your model 2. - Radial displacements versus pressure at Azimuth: 328o (centered on the hatch), and at 0o, 270o at same elevation as the Hatch CL (Elev. 4680 mm)
- Ovalization: Plot separation (gap) which occurs between concrete and pipe sleeve, versus pressure, in circumferential direction
- Ovalization: Plot separation (gap) which occurs between concrete and pipe sleeve, versus pressure, in meridional direction
Required Outputs/Results for Model 3:
3.1 Description of Failure Prediction Model or Criteria Selected for Use
3.2 Assumptions Made In Geometric Modeling, and Model Description
3.3 A subset of the response information defined by the "55 standard output locations" of the
1:4 Scale PCCV round-robin exercise; see below for the specific list.
3.4 Contour Plot of Peak Strains in the Liner During the LST at the pressure milestones:
P = 0 (prestress applied); 1 x Pd; 1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure
3.5 Average Strains Over 450.45 mm Regions as were shown in Figure 11, locations 3, 4, 5,
but with similar locations adjacent to all other penetrations, plotted as a Function
of Pressure. The intent is for these strains to be over a standardized gage length, which is
defined by the spacing between liner anchors.)
For direct comparison amongst participants, please plot (Using Excel)
- Liner Strain Magnitudes (Hoop Direction) at Locations Indicated in Figure 11 (of SPE problem statement), versus pressure
- Tendon stress distribution at P = 0 (prestress applied); 1 x Pd; 1.5 Pd; 2 Pd; 2.5 Pd; 3 Pd; 3.3 Pd; 3.4 Pd; Ultimate Pressure for
– Hoop Tendons # H35, H53, H68
– Vertical Tendon # V37 and V46 - Plots of response versus pressure for Standard Output Locations:
1-15 (displacements)
22-29 (rebar strains)
36-42 (liner strains)
48-55 (tendon strains and stresses)
(see Table 4-1 in NUREG/CR-6809 for exact locations and definitions of SOL’s)