Fracture and Creep in an All- Tungsten Divertor for ARIES Jake - - PowerPoint PPT Presentation
Fracture and Creep in an All- Tungsten Divertor for ARIES Jake - - PowerPoint PPT Presentation
Fracture and Creep in an All- Tungsten Divertor for ARIES Jake Blanchard University of Wisconsin Madison August 2012 Introduction The ARIES Project is exploring the feasibility of using tungsten as a structural material for
Introduction
The ARIES Project is exploring the
feasibility of using tungsten as a structural material for plasma-facing components
For now, we are assuming the material is
pure tungsten, but alloys may be necessary
This talk addresses two key failure modes
that must be addressed by these designs
- Fracture
- Thermal creep
The Design
Major Input Parameters
Parameter Value Units Surface Heat 11 MW/m2 Volumetric Heating 17.5 MW/m3 Coolant Pressure 10 MPa Bulk Coolant Temperature 600 C
Crack Location
Crack-Free Stress State Finite Element Model with Crack on Coolant Channel Surface
2 4 6 8 10 12 14 16 0.1 0.2 0.3 0.4 0.5 0.6
Stress Intensity (MPa-m1/2) Crack Depth (mm)
c/a=2 c/a=6 c/a=10
Fracture Results
1 2 3 4 5 6 7 8 0.2 0.4 0.6
Stress Intensity (MPa-m1/2) Crack Depth (mm)
c/a=2 c/a=6 c/a=10
Results for Crack on Previous Slide Results for Crack Perpendicular to Cracks Shown Results for Crack in Notch (at shutdown)
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 0.2 0.4 0.6
Stress Intensity (MPa-m1/2) Crack Depth (mm) c/a=2
Crack Face
Effect of Transients
Surface T emperature T emperature 2.5 mm below surface Vary nominal heat flux by +/-20% and apply 20 cycles No discernible variation below surface
1996 1997 1998 1999 2000 2001 0.01 0.02 0.03 0.04
Temperature (oC) Time (s)
1715.30 1715.32 1715.34 1715.36 1715.38 1715.40 0.01 0.02 0.03 0.04
Temperature (oC) Time (s)
Surface Effect of “Small” ELM
Assume 1.95 MJ deposited on divertor surface over 1.2 milliseconds Melt layer is 20 microns thick
1000 1500 2000 2500 3000 3500 4000 0.2 0.4 0.6 0.8 1
Temperature (oC) Time (ms)
Surface Depth = 17.7 um Depth = 26.6 um
Melt Temp.
Thermal Creep
Add Thermal Creep Model for Tungsten Creep rates are excessive at 11 MW/m2 Nominal Heat Flux Reduced Heat Flux
1 2 3 4 5 6 5000 10000 15000 20000
Displacement (mm) Time (hr)
0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 5000 10000 15000 20000
Creep Strain (%) Time (hr)
Total Creep Thermal Creep Pressure Creep
Design Modifications
0.0 1.0 2.0 3.0 4.0 5.0 6.0 0.7 0.8 0.9 1 1.1 1.2 1.3
Normalized Creep Strain Normalized Parameter Value
Heat Flux Pressure 0.0002 0.0004 0.0006 0.0008 0.001 0.0012 0.0014 5000 10000 15000 20000
Creep Strain Time (hr)
Baseline Reduced Notch
Varying Surface Heating or Coolant Pressure Reducing Notch Depth